CN102119494B - Multiple antennas is used to send the method and apparatus of uplink signal - Google Patents

Abstract

The invention discloses and allow UE to use MIMO scheme to send the method and apparatus of uplink signal.In order to keep good peak-to-average power ratio (PAPR) or cubic measure (CM) performance when using MIMO scheme to send uplink signal as UE, UE uses pre-coding scheme, a layer is sent to the mode of each antenna to set up this pre-coding matrix based on pre-coding matrix in specific order transmission.

Description

Multiple antennas is used to send the method and apparatus of uplink signal

Technical field

The present invention relates to mobile radio system, particularly relate to the communication system based on multiple-input and multiple-output (MIMO) scheme.

Background technology

MIMO technology is the abbreviation of MIMO technique.MIMO technology uses multiple transmission (Tx) antenna and multiple reception (Rx) antenna to the efficiency of the transmission and reception (Tx/Rx) that improve data.In other words, MIMO technology allows the transmitting terminal of wireless communication system or receiving terminal to use multiple antenna (hereinafter referred to as multiple antennas), makes it possible to raising capacity or performance.For convenience of description, term " MIMO " can also be considered to multi-antenna technology.

In more detail, MIMO technology does not rely on single antenna path to receive separate population's message.As replacement, MIMO technology collects the multiple data slots received via multiple antenna, the data slot collected by merging, and completes conceptual data.As a result, MIMO technology can increase rate of data signalling in the cell area of pre-sizing, or can increase system covering while guarantee particular data transfer rate.In this case, MIMO technology can be widely used in mobile communication terminal, transponder (repeater) etc.MIMO technology can the scope of extended data communication, makes it possible to limited transmission (Tx) data volume overcoming mobile communication system.

Fig. 1 is the block diagram that general MIMO communication system is shown.

With reference to figure 1, the quantity of transmission (Tx) antenna in transmitter is N _t, and the quantity of reception (Rx) antenna in receiver is N _r.Like this, the paper channel transmission capacity of the MIMO communication system when transmitter and receiver all use multiple antenna be greater than only transmitter or receiver use the another kind of situation of multiple antenna under paper channel transmission capacity.The paper channel transmission capacity of MIMO communication system and the quantity of antenna increase pro rata.Thus, can greatly increase rate of data signalling and frequency efficiency.Suppose that the maximum data transfer rate obtained when using individual antenna is set to R _o, when using multiple antenna, the rate of data signalling that obtains can increase scheduled volume in theory, this scheduled volume be multiplied by growth rate R ₁maximum data transfer rate (R _o) corresponding.Growth rate (R ₁) can be represented by following equation 1.

[equation 1]

R ₁＝min(N _T，N _R)

Such as, suppose that mimo system uses four transmission (Tx) antennas and four reception (Rx) antennas, then mimo system can obtain the very high rate of data signalling of higher than a single aerial system four times in theory.After middle nineteen nineties demonstrates the above-mentioned theory capacity increase of mimo system, the multiple technologies that a lot of developer starts theoretical capacity increase can be used fully to increase rate of data signalling are furtherd investigate.Some in above technology are reflected in various wireless communication standard, such as, and 3G (Third Generation) Moblie or next generation wireless lan etc.

Above-mentioned MIMO technology can be divided into space diversity scheme (being also called transmitting diversity scheme) and spatial multiplex scheme.Space diversity scheme uses increases transmission reliability by the symbol of multiple channel path.Spatial multiplex scheme sends multiple data symbol via multiple transmission (Tx) antenna simultaneously, makes the transfer rate increasing data.In addition, also developed the combination of space diversity scheme and spatial multiplexing scheme recently, suitably to obtain the peculiar advantage of two schemes.

About MIMO technology, a lot of company or developer intensively have studied multiple MIMO correlation technique, such as, relevant information-theoretical research is calculated to MIMO message capacity under multiple channel circumstance or multiple access access environment, to radio frequency (RF) channel measurement of mimo system and the research of modeling, and the research to the spatial temporal signal processing technology for increasing transmission reliability and rate of data signalling.

In third generation partner program Long Term Evolution (3GPPLTE) system, above-mentioned MIMO scheme is only applied to the downlink signal transmissions of 3GPPLTE system.MIMO technology can also be applied to uplink signal transmissions.In this case, transmitter structure is changed to realize MIMO technology, and peak-to-average power ratio (PAPR) or cubic measure (cubicmetric) (CM) feature may be worsened.Thus, need the new technology that MIMO scheme can be applied to effectively uplink signal transmission.

Summary of the invention

Thus, the present invention relates to the method and apparatus for sending uplink signal via multiple antenna, which substantially obviate one or more problems that restriction and shortcoming due to correlation technique cause.

Target of the present invention is to provide the technology for effectively performing uplink signal transmission according to MIMO scheme.

Other advantages of the present invention, target and feature will partly be set forth in the following description, and to those skilled in the art, will become obvious, or can know from the practice of the present invention partially by following description of research.Target of the present invention and other advantages can be realized by the structure particularly pointed out in write specification and claim and accompanying drawing and be obtained.

In order to realize these targets and other advantages, according to object of the present invention, as specialized and wide in range description at this, comprise for the method making subscriber equipment (UE) send uplink signal via multiple antenna: layer uplink signal being mapped to predetermined quantity; To each execution discrete Fourier transform (DFT) (DFT) spread spectrum in the layer signal of predetermined quantity; By selecting specific pre-coding matrix to carry out precoding to the layer signal of DFT spread spectrum from the code book prestored, the mode of each that this specific pre-coding matrix is sent in multiple antenna with a layer signal is set up; And the predetermined process for constructing Single Carrier-Frequency Division multiple access access (SC-FDMA) symbol is performed to the signal of precoding; And the signal after process is sent to base station (BS) via multiple antenna.

Specific pre-coding matrix can be the pre-coding matrix set up in the mode between multiple antenna with homogeneous transmitted power.Specific pre-coding matrix can be have the mode of homogeneous transmitted power between the layer with predetermined quantity and the pre-coding matrix set up.

This code book can comprise first kind pre-coding matrix, and wherein, first kind pre-coding matrix can be configured to form, as order 2 pre-coding matrix utilized when the quantity of multiple antenna is 4 and order is set to 2, and it can satisfy condition order 2 pre-coding matrix may further include the pre-coding matrix generated when the position of each row of first kind pre-coding matrix changes.

This order 2 pre-coding matrix may further include: with the Second Type pre-coding matrix of form configuration, and with 3rd type pre-coding matrix of form configuration, wherein, each row of pre-coding matrix can correspond respectively to four antennas in multiple antenna, and each row can correspond respectively to layer.

This order 2 pre-coding matrix may further include the pre-coding matrix generated when the position of each row of first kind pre-coding matrix changes.

This code book can comprise first kind pre-coding matrix, and wherein, first kind pre-coding matrix (being used as order 3 pre-coding matrix utilized when the quantity of multiple antenna is 4 and order is set to 3) is configured to form, and to satisfy condition this order 3 pre-coding matrix may further include the pre-coding matrix generated when the position of each row of first kind pre-coding matrix changes.This order 3 pre-coding matrix may further include the pre-coding matrix generated when the position of each row of first kind pre-coding matrix changes.Namely, code book can comprise and be configured to alternatively ground floor be mapped to the first and second antennas and the pre-coding matrix respectively second and third layer being mapped to the third and fourth antenna, as when antenna amount is 4 and order is 3 when the pre-coding matrix that uses.

When the quantity of antenna is 4, order is 3, and when the quantity of code word is 2, a code word is mapped to single layer, and another code word is mapped to two layers.Pre-coding matrix can be configured to make can be different from the angle of the total transmitted power of layer, to implement homogeneous transmitted power between multiple antenna.In this case, the pre-coding matrix row with comparatively large effectively transmitted power are mapped to the layer being mapped to separately single code word.Thus, for form pre-coding matrix row when, first row is mapped to the layer being mapped to separately single code word, and second and the 3rd row be mapped to the layer being mapped to another code word.

This code book can comprise the pre-coding matrix of the varying number for each order.

Can input each uplink signal in units of code word, and the layer mapping to certain code word periodically can be changed into another layer to the mapping step of the layer of predetermined quantity by uplink signal.This periodic example can be 1 SC-FDMA symbol.

In another aspect of this invention, the subscriber equipment (UE) sending uplink signal via multiple antenna comprising: multiple antenna, for sending and Received signal strength; Memory, for storing the code book with pre-coding matrix, the mode that this pre-coding matrix is sent to multiple antenna with a layer signal is set up; And processor, be connected to multiple antenna and memory, to process uplink signal transmission.This processor comprises: layer mapper, for uplink signal being mapped to the layer of the predetermined quantity corresponding with specific order; Discrete Fourier transform (DFT) module, for performing DFT spread spectrum to each in the layer signal of predetermined quantity; Precoder, for by selecting specific pre-coding matrix to carry out precoding to each in the layer signal after the DFT spread spectrum received from DFT module from storing in code book in memory, the mode of each that this specific pre-coding matrix is sent in multiple antenna with a layer signal is set up; And sending module, for performing the predetermined process for constructing Single Carrier-Frequency Division multiple access access (SC-FDMA) symbol to precoded signal, and via multiple antenna, the signal after process is sent to base station (BS).

In this case, this memory can store code book.This processor with the mode different from the precoding of precoder or the line replacement and/or the column permutation that pass through pre-coding matrix, can perform antenna conversion (shift) and/or layer conversion.

Be appreciated that above-mentioned describe, in general terms of the present invention and following detailed description are schematically with indicative, and aim to provide advocated of the present invention further explanation.

Accompanying drawing explanation

Be included to provide further understanding of the present invention and combined and the accompanying drawing forming the application's part shows embodiments of the invention, and be used from specification one and explain principle of the present invention, in the accompanying drawings:

Fig. 1 is the schematic diagram that general MIMO communication system is shown.

Fig. 2 and Fig. 3 illustrates the general structure of the transmitter based on MIMO technology.

Fig. 4 illustrates for carrying out precoding to the information of every layer and sending the schematic diagram of method of precoding information via antenna.

Fig. 5 is the schematic diagram that general SC-FDMA scheme is shown.

Fig. 6 illustrates the schematic diagram for method code word being mapped to multiple layers.

Fig. 7 illustrates for performing DFT to every layer, the schematic diagram of the method increased with the CM value prevented for each antenna after performing the mapping of code word to layer (that is, code word-layer maps).

Fig. 8 illustrates that the position for the row or column to pre-coding matrix performs the schematic diagram of the method for displacement.

Fig. 9 is the schematic diagram that chordal distance (chordaldistance) is shown.

Figure 10 is the block diagram that general base station (BS) and general user's equipment (UE) are shown.

Figure 11 and Figure 12 illustrates the SC-FDMA scheme for sending uplink signal in 3GPPLTE system and the OFDMA scheme for sending down link signal in 3GPPLTE system.

Figure 13 illustrates for making base station (BS) use MIMO scheme to send the block diagram of the processor of down link signal in 3GPPLTE system.

Figure 14 is the processor that UE according to an embodiment of the invention is shown.

Embodiment

Make detailed reference by the preferred embodiments of the present invention, example shown in the accompanying drawings now.In situation as much as possible, the same reference numbers used in accompanying drawing represents same or similar part.

The detailed description provided below with reference to accompanying drawing is intended to disclose exemplary embodiments of the present invention, instead of only embodiment that can realize according to the present invention is shown.Below describe in detail and comprise specific detail, to provide thorough understanding of the present invention.But, it will be obvious to those skilled in the art that and also can realize the present invention when there is no this specific detail.Such as, give the following description concentrating on particular term, but to the present invention is not limited thereto and any other term may be used to represent identical meaning.And in situation as much as possible, same reference numbers is used to indicate same or similar part in the accompanying drawings.

Peak-to-average power ratio (PAPR) is the parameter of the feature representing waveform.PAPR is the particular value obtained when time average root mean square (RMS) value divided by waveform of the peak amplitude of waveform.PAPR is dimensionless (dimensionless) value.Usually, the PAPR of single-carrier signal is better than multi-carrier signal.

LTE-Advanced scheme can realize the MIMO technology using Single Carrier-Frequency Division multiple access access (SC-FDMA), to keep good CM performance.When using general precoding, the signal comprising the information corresponding with multiple layers is multiplexed and sends via individual antenna, makes the signal sent via this antenna can be considered to a kind of multi-carrier signal.PAPR is relevant to the dynamic range that the power amplifier of transmitter must be supported, and CM value is another value of the substitute that can be used as PAPR.

Fig. 2 illustrates the general structure of the transmitter based on MIMO technology.

In fig. 2, one or more code word is mapped to multiple layer.In this case, map information is mapped to each physical antenna by precoding processing, and is then sent out via each physical antenna.

Fig. 3 is the detailed diagram that the transmitter based on MIMO shown in Fig. 2 is shown.

Term " code word " represents that cyclic redundancy check (CRC) (CRC) position is affixed to data message and is then encoded by specific coding method.There is Multi-encoding method, such as, Turbo code, tail-biting convolutional code (tailbitingconvolutioncode) etc.Each code word is all mapped to one or more layer (that is, one or more virtual level), and the sum of mapped layer equals rank value.In other words, if sending order is 3, then the sum of transmit layer is also set to 3.Precoding is carried out to the information mapping to every layer.In this case, the data message mapping to every layer is mapped to physical layer (, term " layer " represents actual layer, as long as it specifies physical layer) here by precoding processing.Information is sent to each antenna via each physical layer.When not shown appointment is explained in figure 3, perform precoding in a frequency domain, and OFDM information transmission scheme is used to the information mapping to physical layer.The information mapping to physical layer is mapped to specific frequency domain, and then carries out IFFT process.Afterwards, Cyclic Prefix (CP) is affixed to IFFT result.After this, information is sent to each antenna via radio frequency (RF) chain (chain).

Precoding processing can be performed by matrix multiplication.In each matrix, line number equals the quantity (that is, the quantity of antenna) of physical layer, and columns equals rank value.Rank value equals the number of plies, makes columns equal the number of plies.With reference to following equation 2, the information mapping to layer (that is, virtual level) is x ₁and x ₂, each element p of (4 × 2) matrix _ijit is the weight for precoding.Y ₁, y ₂, y ₃and y ₄be the information mapping to physical layer, and sent via each antenna by each OFDM transmission scheme of use.

[equation 2]

$\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=\left[\begin{array}{cc}{p}_{11}& p_{21}\\ p_{12}& p_{22}\\ p_{13}& p_{23}\\ p_{14}& p_{24}\end{array}\right]\·\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]$

In the following description, virtual level will be called as layer hereinafter, as long as this use does not cause confusion.For virtual level signal map hereinafter will be called as the operation for layer being mapped directly to antenna to operating in of physical layer.

Method for precoding mainly can be divided into two kinds of methods, that is, broadband method for precoding and subband method for precoding.

Broadband method for precoding is as follows.According to broadband method for precoding, when performing precoding in a frequency domain, identical pre-coding matrix is applied to all information being sent to frequency domain.

Fig. 4 illustrates for carrying out precoding to the information of every layer and sending the schematic diagram of method of precoding information via antenna.

With reference to figure 4, can recognize, the information corresponding with multiple layers, by precoding, classified, and precoding information is sent by via each antenna by the subcarrier according to each frequency domain simultaneously.Be equal to each other for all pre-coding matrixes " P " in the method for precoding of broadband.

Subband method for precoding is provided by the expansion of broadband method for precoding.Multiple pre-coding matrix is applied to each subcarrier by subband method for precoding, and identical pre-coding matrix is not applied to all subcarriers.In other words, according to subband method for precoding, in specific subcarrier, use pre-coding matrix " P ", in its remaining sub-carriers except specific subcarrier, use another pre-coding matrix " M ".At this, the element value of pre-coding matrix " P " and the different of another pre-coding matrix " M ".

Compared with downlink signal transmissions, uplink signal transmission is to PAPR or CM performance rdativery sensitive.The increase of the filter cost caused by the raising of PAPR or CM performance, may produce more serious problem in subscriber equipment (UE).Thus SC-FDMA scheme is used to uplink signal transmission.

Fig. 5 is the schematic diagram that general SC-FDMA scheme is shown.

As shown in Figure 5, OFDM scheme and SC-FDMA scheme are considered to mutually the same, this is because serial signal is all converted to parallel signal by them, and parallel signal is mapped to subcarrier, IDFT or IFFT process is performed to mapping signal, signal through IDFT or IFFT process is converted to serial signal, Cyclic Prefix (CP) is attached to obtained serial signal, and send CP composite signal via radio frequency (RF) module.But compared with OFDM scheme, parallel signal is converted to serial signal by SC-FDMA scheme, and DFT spread spectrum is performed to serial signal, make the impact reducing next IDFT or IFFT process, and individual signals feature is remained on higher than predetermine level.

Meanwhile, the reason that CM value reduces when MIMO scheme is applied to uplink signal transmission is as follows.If multiple single-carrier signal all each with good CM characteristic are simultaneously overlapped, then overlapped signal may have very poor CM characteristic.Therefore, if SC-FDMA system uses the single-carrier signal of minimum number or single-carrier signal to carry out the output information of multiplexed multiple layers on single physical antenna, then the transmission signal with good CM can be generated.

Before precoding is carried out to the information that will be sent out, code word-layer can be performed and map process.Because SC-FDMA scheme is normally used for a transmission mode (1Tx), so the number of plies is 1.But if SC-FDMA scheme supports MIMO scheme, then the number of plies is plural number, and the code word be made up of single transmission block can be mapped to multiple layer.

Fig. 6 is the schematic diagram that method code word being mapped to multiple layers is shown.

With reference to figure 6, map if perform code word-layer after performing the DFT process being used for SC-FDMA scheme, then CM value may increase.That is, due to before entering IFFT module, the output signal of DFT block processes, that is, because the output signal of DFT block is divided into two-layer, so CM value may increase through other.

Fig. 7 illustrates to every layer of execution DFT after performing the mapping of code word to layer (that is, code word-layer maps), the schematic diagram of the method increased to prevent the CM value of each antenna.

Therefore, if the quantity of DFT block is changed, is classified by according to the number of plies based on rank value simultaneously, then can keep low CM value.That is, the output signal of DFT block is directly input into IFFT block, and without other process, to make it possible to keep low CM value.When reality is implemented, multiple layer can share single DFT block.

If by MIMO scheme is applied to uplink signal transmission, send multiple layer signal via individual antenna, then PAPR or CM performance may worsen.In order to overcome the problems referred to above, following examples of the present invention use description to the method carrying out design codebooks based on pre-coding matrix, by the method, only send a layer signal via individual antenna.

Understand the present invention for convenience of description and better, in transmission system, suppose that the one group of signal being sent to pre-encoded blocks is set to " x ", and the signal of one group of precoding is set to " y ".In this case, if pre-coding matrix is " P ", then following equation 3 is obtained.

[equation 3]

Y＝P·x

In equation 3, the dimension of " P " is N _t× N _l, the dimension of " x " is N _l× 1, the dimension of " y " is N _t× 1.In this case, N _tthe quantity of antenna, and N _lit is the number of plies.

In the following description, first will describe the principle that design can be applied to the code book of the uplink signal transmission of the use MIMO scheme of being undertaken by UE in (I) chapter, and in (II) chapter, then describe the long form of code book.

I. the principle of codebook design

<2Tx code book >

Below by the various embodiments of description according to the structure of pre-coding matrix included in the code book used under 2Tx pattern.

Method according to the embodiment of the present invention comprises: by codebook mapping to multiple layer is generated multiple stream; And precoding is carried out to generated stream, the stream after precoding is mapped to multiple antenna, and send the result mapped via antenna.In this case, code book can according to following configuration.The pre-coding matrix used in order 1 and the pre-coding matrix used in order 2 will describe by different way.

2Tx-order 1 pre-coding matrix

When 2Tx-order 1, equation 3 can be rewritten as the following equation 4 according to the embodiment of the present invention.

[equation 4]

$y=\left[\begin{array}{c}{y}_1\\ y_2\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{c}a\\ b\end{array}\right]\&CenterDot;\left[x_1\right]=\left[\begin{array}{c}{\mathrm{ax}}_1\\ {\mathrm{bx}}_1\end{array}\right]$

Usually, if hypothesis uses broadband pre-coding scheme, then according to order 1 pre-coding scheme, specific constant value is multiplied by the signal of every layer, PAPR and the CM value of signal sent via each antenna under 2Tx pattern and equal under 1Tx pattern.Therefore, when using broadband precoding, PAPR and CM be not by the impact of the value of 2Tx-order 1 pre-coding matrix.

Precoding is for changing channel to obtain the method for the structure influence (constructiveeffect) between the signal that transmits via each channel.Therefore, the sending performance of each signal is improved.Therefore, represent that " a " of first element of pre-coding matrix P shown in equation 4 is set to " 1 ", and second element " b " of pre-coding matrix P can be set to arbitrary value.The signal transmitted via each antenna has equal-wattage, and the institute's power amplifier be included in each antenna can be used to greatest extent.For this purpose, above-mentioned second element " b " can be have the plural number that absolute value is 1.In other words, the P shown in equation 4 can be by represent.

Transmitting terminal and receiving terminal exist the several quantitative limitations for pre-coding matrix included in the code book of precoding, this is because must have code book and transmit the information about predetermined pre-coding matrix between transmitting terminal and receiving terminal.Therefore, transmitting terminal and receiving terminal must use the pre-coding matrix of limited quantity.In order to this operation, have be 1 absolute value and the plural number that corresponds to the phase place of any one in+0 ° ,+45 ° ,+90 ° ,+135 ° ,+180 ° ,-135 ° ,-90 ° and-45 ° can be used as each element of pre-coding matrix.That is, in above-mentioned expression formula in, θ can be by represent.In other words, P can be by represent.

2Tx-order 2 pre-coding matrix

When 2Tx-order 2, equation 3 can be rewritten as following equation 5.

[equation 5]

$y=\left[\begin{array}{c}{y}_1\\ y_2\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{cc}{p}_{11}& p_{12}\\ p_{21}& p_{22}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{c}{p}_{11}{x}_1+p_{12}{x}_2\\ p_{21}{x}_1+p_{22}{x}_2\end{array}\right]$

In equation 5, the signal y transmitted via each antenna _kby multiple input signal x _icombination form, can increase to make CM value.

In this case, if p ₁₂and p ₂₁in be eachly set to zero " 0 ", if or p ₁₁and p ₂₂in to be eachly all set to " 0 ", then only have a signal can send via each antenna.Therefore, if hypothesis signal x _icM value be considered to fine, then the CM value of precoded signal also becomes fine.About Fig. 7, when code word is mapped to each layer, by DFT spread spectrum application to the signal mapping to each layer obtained, and perform the precoding processing allowing each antenna only to send a layer signal, can obtain with once executing the identical effect of IDFT or IFFT process that DFT process performs, and PAPR or CM characteristic can be remained on kilter.Below will explain that it is described in detail in the following description.

In this case, if p ₁₂and p ₂₁in be eachly set to zero " 0 ", then after multiplication by constants complex values, the signal corresponding with each layer sends via each antenna.As a result, although above-mentioned constant complex values is set to 1, performance is not by the impact of this constant complex values 1.

Thus equation 5 can be represented by following equation 6.

[equation 6]

$y=\left[\begin{array}{c}{y}_1\\ y_2\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{cc}{p}_{11}& 0\\ 0& p_{22}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right],P\&Element;\left\{\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]\right\}$

<4Tx code book >

Below by the various embodiments of description according to the structure of pre-coding matrix included in the code book used under 4Tx pattern.

Method according to the embodiment of the present invention comprises: generate multiple stream by code word being mapped to multiple layer; And precoding is carried out to generated stream, the stream after precoding is mapped to multiple antenna, and sends mapping result via antenna.In this case, code book can be configured as follows.The pre-coding matrix used respectively in order 1, order 2, order 3 and order 4 will be described in by different way.

4Tx-order 1 pre-coding matrix

When 4Tx-order 1, equation 3 can be rewritten as following equation 7.

[equation 7]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{c}a\\ b\\ c\\ d\end{array}\right]\&CenterDot;\left[x_1\right]=\left[\begin{array}{c}{\mathrm{ax}}_1\\ {\mathrm{bx}}_1\\ {\mathrm{cx}}_1\\ {\mathrm{dx}}_1\end{array}\right]$

When using broadband pre-coding scheme in the mode identical with 2Tx-order 1 code book, the CM of the signal sent via each antenna by 4Tx-order 1 precoding processing equals the CM of the signal used under 1Tx pattern.Therefore, all types of pre-coding matrix can freely be applied to this CM, and without any problem.

4Tx-order 2 pre-coding matrix

When 4Tx-order 2, equation 3 can be rewritten as following equation 8.

[equation 8]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{cc}{p}_{11}& p_{12}\\ p_{21}& p_{22}\\ p_{31}& p_{32}\\ p_{41}& p_{42}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{c}{p}_{11}{x}_1+p_{12}{x}_2\\ p_{21}{x}_1+p_{22}{x}_2\\ p_{31}{x}_1+p_{32}{x}_2\\ p_{41}{x}_1+p_{42}{x}_2\end{array}\right]$

In 4Tx-order 2 code book, in the mode similar to 2Tx-order 2 code book, the element-specific of pre-coding matrix is set to zero " 0 ", and to make the overlap of the signal sent via each antenna be minimized, thus CM can remain on low value.

In equation 8, if suppose the signal (p sent via each antenna _k1x ₁+ p _k2x ₂) in p _k1or p _k2be set to zero " 0 ", then the signal sent via each antenna becomes the signal equaling to send from single layer, and the CM of the signal therefore sent via each antenna can remain on low value.

In one embodiment of the invention, being included in " P " in equation 8 can be by represent.Equation 8 can be rewritten as following equation 9.

[equation 9]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{cc}{p}_{11}& 0\\ p_{21}& 0\\ 0& p_{32}\\ 0& p_{42}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{c}{p}_{11}{x}_1\\ p_{21}{x}_1\\ p_{32}{x}_2\\ p_{42}{x}_2\end{array}\right]$

With reference to equation 9, a layer is only had to be mapped to the signal sent via each antenna.From the angle of single layer, think that 2Tx-order 1 precoding is applied to the information sent via this single layer.Thus, 2Tx-order 2 pre-coding matrix can be used to configure 4Tx-order 2 pre-coding matrix.In other words, 4Tx-order 2 pre-coding matrix can be the hypermatrix (supermatrix) of 2Tx-order 1 pre-coding matrix.

Such as, according to an embodiment of the invention " P " can be represented by equation 10.

[equation 10]

$X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Above-mentioned 2Tx-order 1 pre-coding matrix is used to the method by two antenna applications to single layer signal being sent information.But if hypothesis existence four physical antennas, then which kind of combination that communication performance may be formed according to two antennas is used to transfer of data and changes.In this case, the selected combination of antenna can change according to the value of pre-coding matrix P.

Such as, according to one embodiment of present invention, pre-coding matrix P can be configured to multiple format.Each form can represent different antenna combination.

[equation 11]

$P\&Element;\{\left[\begin{array}{cc}1& 0\\ X& 0\\ 0& 1\\ 0& Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ X& 0\\ 0& Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& Y\\ X& 0\end{array}\right]\}$

In equation 11, if suitable value is selected as pre-coding matrix P, then can improve the performance improvement caused due to precoding.If pre-coding matrix is as above configured, then corresponding with each layer signal uses two antennas in total four antennas, and the channel estimating performance among each layer becomes similar each other, and can be minimized for the CM value of each antenna.

Usually, although constant value to be multiplied by the particular column vector of any pre-coding matrix, the feature of pre-coding matrix does not change.Therefore, although constant value to be multiplied by the particular column of above-mentioned pre-coding matrix, the feature of pre-coding matrix does not change.As a result, the aforesaid operations for particular column vector constant value being multiplied by pre-coding matrix does not depart from the scope of the present invention.

In addition, if predetermined proportionality factor (scalingfactor) is multiplied by the pre-coding matrix shown in equation 11, then the result be multiplied can be represented by following equation 12.

[equation 12]

$P\&Element;\{k\&CenterDot;\left[\begin{array}{cc}1& 0\\ X& 0\\ 0& 1\\ 0& Y\end{array}\right],k\&CenterDot;\left[\begin{array}{cc}1& 0\\ 0& 1\\ X& 0\\ 0& Y\end{array}\right],k\&CenterDot;\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& Y\\ X& 0\end{array}\right]\}$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

4Tx-order 3 pre-coding matrix (1)

When 4Tx-order 3, equation 3 can be rewritten as following equation 13.

[equation 13]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{ccc}{p}_{11}& p_{12}& p_{13}\\ p_{21}& p_{22}& p_{23}\\ p_{31}& p_{32}& p_{33}\\ p_{41}& p_{42}& p_{43}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\end{array}\right]=\left[\begin{array}{c}{p}_{11}{x}_1+p_{12}{x}_2+p_{13}{x}_3\\ p_{21}{x}_1+p_{22}{x}_2+p_{23}{x}_3\\ p_{31}{x}_1+p_{32}{x}_2+p_{33}{x}_3\\ p_{41}{x}_1+p_{42}{x}_2+p_{43}{x}_3\end{array}\right]$

With 4Tx-order 3 pre-coding matrix of 4Tx-order 2 pre-coding matrix similar fashion, the element-specific of pre-coding matrix is set to zero " 0 ", and to make the overlap of the signal sent via each antenna be minimized, therefore CM can remain on low value.

In equation 13, if suppose the signal (p sent via each antenna _k1x ₁+ p _k2x ₂+ p _k3x ₃) in p _k1, p _k2, or p _k3be set to " 0 ", then the CM of the signal sent via each antenna can remain on low value.

In one embodiment of the invention, being included in " P " in equation 12 can be by represent.Equation 13 can be rewritten as following equation 14.

[equation 14]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{ccc}{p}_{11}& 0& 0\\ 0& p_{22}& 0\\ 0& 0& p_{33}\\ p_{41}& p_{42}& p_{43}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\end{array}\right]=\left[\begin{array}{c}{p}_{11}{x}_1\\ p_{22}{x}_2\\ p_{33}{x}_3\\ p_{41}{x}_1+p_{42}{x}_2+p_{43}{x}_3\end{array}\right]$

In order 3, be 3 by the number of plies be sent out, and the quantity of physical antenna is 4.In this case, each in three antennas can map to single layer independently.At this, only have the signal of single layer can be mapped to a remaining antenna, or a remaining antenna can be mapped to the signal of least two layers.If only have the signal of specific single layer to be mapped to a remaining antenna, then the CM of the signal sent via this antenna can have good feature, but the communication performance of this specific single layer may different from another layer.Such as, the first antenna (antenna 1) and the 4th antenna (antenna 4) is mapped in the information of ground floor (layer 1), the information of the second layer (layer 2) is mapped to the second antenna (antenna 2), and when the information of third layer (layer 3) is mapped to third antenna (antenna 3), the communication performance of layer 1 information may different from layer 2 or layer 3.

In one embodiment of the invention, in order to minimize the CM value for each antenna in precoding processing, pre-coding matrix P can have the value P shown in following equation 15 ₁, P ₂, and P ₃in any one.

[equation 15]

$P_1=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ X& 0& 0\end{array}\right],P_2=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& Y& 0\end{array}\right],P_3=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& Z\end{array}\right]$

Wherein, $X,Y,Z\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}.$

At the above-mentioned pre-coding matrix P of use ₁, P ₂, and P ₃when, the quantity for the antenna of each layer is different from each other.But, if hypothesis pre-coding matrix P ₁, P ₂, and P ₃by equably for sending customizing messages, instead of use pre-coding matrix P ₁, P ₂, and P ₃in any one, then the quantity for the antenna of each layer can be normalized (normalized).Although can alternately use pre-coding matrix P in a frequency domain ₁, P ₂, and P ₃but the single-carrier property of the signal be made up of single carrier is destroyed, CM value is inevitably increased.Thus, if pre-coding matrix P ₁, P ₂, and P ₃alternately be applied to each SC-FDMA symbol, then CM does not have extra increase.When sending data, can decode to information in units of a subframe.Therefore, if pre-coding matrix P ₁, P ₂, and P ₃alternately be applied to each SC-FDMA symbol, then each layer of information of the whole information sent via single subframe can send via the antenna of equal number fifty-fifty.

In another embodiment of the invention, the position of the antenna used by each layer is changed, and can be enhanced to make performance.The change of aerial position can be carried out along with the time.Especially, aerial position can be changed at each SC-FDMA symbol place.Method detailed for changing aerial position will be described in detail below.

Such as, the position of the value in pre-coding matrix except " 0 " change to another location in the scope of row vector, makes the position sending the antenna of each layer signal via it to change to another location.As another example, said method can be replaced by row/column and be realized, this is because position displacement performs between the row or column of given pre-coding matrix.

Fig. 8 illustrates that the position for the row or column to pre-coding matrix performs the schematic diagram of the method for displacement.

In more detail, Fig. 8 (a) is the schematic diagram illustrated for performing the method for displacement to the position of row, and Fig. 8 (b) is the schematic diagram for performing the method for displacement to the position of row.

In the pre-coding matrix shown in equation 15, pre-coding matrix P ₁can by line replacement and/or column permutation, to make it possible to generating pre-coding matrix P ₂or P ₃.Thus, at such as pre-coding matrix P ₁, P ₂or P ₃structure in, new unique pre-coding matrix can be obtained by means of only line replacement.

By under 4Tx pattern can with line replacement and change row order can be represented by following formula.

{1，2，3，4}，{1，2，4，3}，{1，3，2，4}，{1，3，4，2}，

{1，4，2，3}，{1，4，3，2}，{2，1，3，4}，{2，1，4，3}，

{2，3，1，4}，{2，3，4，1}，{2，4，1，3}，{2，4，3，1}，

{3，2，1，4}，{3，2，4，1}，{3，1，2，4}，{3，1，4，2}，

{3，4，2，1}，{3，4，1，2}，{4，2，3，1}，{4，2，1，3}，

{4，3，2，1}，{4，3，1，2}，{4，1，2，3}，{4，1，3，2}

In above-mentioned expression formula, { w, x, y, z} mean that the row vector 1,2,3 and 4 of pre-coding matrix is at given pre-coding matrix P _krearranged by the order with bracket inner digital under existent condition.

By line replacement, the signal corresponding with particular row is mapped to different antennae.By column permutation, the effect identical with the information switching different layers can be obtained.If do not need the performance distinguishing each layer, then each layer is required that the system of similar performance does not need to utilize column permutation.Thus, can only use line replacement to obtain the effect corresponding with sky line options.

Meanwhile, when given proportionality factor is multiplied by each pre-coding matrix shown in equation 15, result can be represented by following equation 16.

[equation 16]

$P_1=k\&CenterDot;\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ X& 0& 0\end{array}\right]$ $P_2=k\&CenterDot;\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& Y& 0\end{array}\right]$ $P_3=k\&CenterDot;\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& Z\end{array}\right],$

$X,Y,Z\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

4Tx-order 3 pre-coding matrix (2)

When 4Tx-order 3, if each antenna sends only corresponding with layer information, then the CM value of the signal sent via each antenna can remain on low value, but, only the information of a layer is via an only antenna transmission, and communication performance is worsened.Thus, in 4Tx-order 3, need to be multiplexed with maximum two layers and the code book designed by mode sent via individual antenna, to make the increment of CM to be minimized, simultaneously can improve communication performance.

According to one embodiment of present invention, when the information corresponding with two layers sends via individual antenna, the pre-coding matrix P shown in equation 13 can by the P in equation 17 ₄or the P in equation 18 ₅represent.

[equation 17]

$P_4=\left[\begin{array}{ccc}1& 0& 1\\ X& 0& Z\\ 0& 1& 0\\ 0& Y& 0\end{array}\right],$ X≠Z， $X,Y,Z\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

[equation 18]

$P_5=\left[\begin{array}{ccc}1& 0& 0\\ X& 1& 0\\ 0& Y& 1\\ 0& 0& Z\end{array}\right],$ $X,Y,Z\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

In equation 17, in order to meet order 3, " X " must with pre-coding matrix P ₄in " Z " different.

Use pre-coding matrix P ₄or P ₅the shortcoming of method be to only have the signal of single layer to send via other antenna, and the signal of two layers is multiplexed and send via specific antenna.

In one embodiment of the invention, in order to eliminate the problems referred to above, pre-coding matrix P can have the value P shown in following equation 19 ₆, P ₇and P ₈in any one.

[equation 19]

$P_6=\left[\begin{array}{ccc}1& 0& Z\\ X& 1& 0\\ 0& Y& 1\\ A& 0& C\end{array}\right],$ $P_7=\left[\begin{array}{ccc}1& 0& Z\\ X& 1& 0\\ 0& Y& 1\\ 0& B& C\end{array}\right],$ $P_8=\left[\begin{array}{ccc}1& 0& Z\\ X& 1& 0\\ 0& Y& 1\\ A& B& 0\end{array}\right]$

Wherein, $X,Y,Z,A,B,C\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

About pre-coding matrix P ₄, P ₅, P ₆, P ₇or P ₈, line replacement and/or column permutation can be performed to 4Tx-order 3 pre-coding matrix.Owing to performing line replacement and column permutation, the antenna selection function that can realize making the signal of certain layer to send via any antenna by precoding and layer permutation function.

In one embodiment of the invention, each column vector of pre-coding matrix can be configured to mutually orthogonal.

If each column vector of pre-coding matrix is configured to mutually orthogonal, then pre-coding matrix can meet the characteristic of one-sided unitary matrice (onesideunitarymatrix).That is, pre-coding matrix P can have the feature represented by following equation 20.

[equation 20]

P ^HP＝α·I≠PP ^H

In one embodiment of the invention, can to the following equation 21 form configuration order 3 pre-coding matrix.Pre-coding matrix P for meeting following equation 21 can meet the relation shown in equation 20.

[equation 21]

$P=\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& 1& 0\\ 0& Y& 0\end{array}\right],$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

In equation 21, due to meet by the relation represented, so can recognize, matrix P meets equation 20.

4Tx-order 4 pre-coding matrix (1)

When 4Tx-order 4, equation 3 can be rewritten as following equation 22.

[equation 22]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{cccc}{p}_{11}& p_{12}& p_{13}& p_{14}\\ p_{21}& p_{22}& p_{23}& p_{24}\\ p_{31}& p_{32}& p_{33}& p_{34}\\ p_{41}& p_{42}& p_{43}& p_{44}\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\\ x_4\end{array}\right]=\left[\begin{array}{c}{p}_{11}{x}_1+p_{12}{x}_2+p_{13}{x}_3+p_{14}{x}_4\\ p_{21}{x}_1+p_{22}{x}_2+p_{23}{x}_3+p_{24}{x}_4\\ p_{31}{x}_1+p_{32}{x}_2+p_{33}{x}_3+p_{34}{x}_4\\ p_{41}{x}_1+p_{42}{x}_2+p_{43}{x}_3+p_{44}{x}_4\end{array}\right]$

When 4Tx-order 4, the signal from four layers is multiplexed and sends via each antenna.

In one embodiment of the invention, if with the form allocating pre-coding matrix of unit matrix, then an antenna can only send the signal corresponding with single layer.In this case, equation 22 can be rewritten as following equation 23.

[equation 23]

$y=\left[\begin{array}{c}{y}_1\\ y_2\\ y_3\\ y_4\end{array}\right]=P\&CenterDot;x=\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]\&CenterDot;\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\\ x_4\end{array}\right]=\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\\ x_4\end{array}\right]$

4Tx-order 4 pre-coding matrix (2)

In 4Tx-order 4 code book, if the quantity of order-4 pre-coding matrix increases, then communication performance also can increase.When the quantity comprising pre-coding matrix in the codebook increases, the pre-coding matrix closer to actual channel can be selected.Therefore, the quantity of pre-coding matrix is larger, and performance is higher.But, select pre-coding matrix to become complicated in the codebook, make the pre-coding matrix preferably comprising right quantity at such code book.But, when 4Tx-order 4, in order to only send the signal corresponding with single layer via each antenna, pre-coding matrix should be unit matrix, to make when using multiple order 4 pre-coding matrix, send via individual antenna when the signal corresponding with two layers or more layer should have.Therefore, in order to minimize CM value and increase the quantity of order 4 pre-coding matrix in code book, the element-specific of pre-coding matrix can be set to zero " 0 ".In equation 22, if suppose the signal (p sent via each antenna _k1x ₁+ p _k2x ₂+ p _k3x ₃+ p _k4x ₄) in p _k1, p _k2, p _k3and p _k4in two values be set to zero " 0 " respectively, then the CM of the signal sent via each antenna can remain on low value.

In one embodiment of the invention, pre-coding matrix can be set to the P in following equation 24 ₉, P in following equation 25 ₁₀, or following equation 26 in P ₁₁.

[equation 24]

$P_9=\left[\begin{array}{cccc}1& A& 0& 0\\ 0& 1& B& 0\\ 0& 0& 1& C\\ D& 0& 0& 1\end{array}\right],1\&NotEqual;\mathrm{ABCD},$

$A,B,C,D\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

[equation 25]

$P_{10}=\left[\begin{array}{cccc}1& 0& 1& 0\\ A& 0& C& 0\\ 0& 1& 0& 1\\ 0& B& 0& D\end{array}\right]$

Wherein, A ≠ C, B ≠ D, $A,B,C,D\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

[equation 26]

$P_{11}=\left[\begin{array}{cccc}1& 0& 1& 0\\ A& 0& -A& 0\\ 0& 1& 0& 1\\ 0& B& 0& -B\end{array}\right],$ $A,B\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Pre-coding matrix P ₉, P ₁₀or P ₁₁it is the example of the pre-coding matrix for sending the signal corresponding with maximum two layers via each antenna.As mentioned above, to pre-coding matrix P ₉, P ₁₀or P ₁₁execution row/column is replaced, and makes it possible to the signal sending different layers via different antennae.

Pre-coding matrix P ₁₁be unitary matrice, make it possible to the advantage utilizing unitary pre-coding matrix.

4Tx-order 4 pre-coding matrix (3)

When 4Tx-order 4, in the element of often going of pre-coding matrix, only have an element can be set to zero " 0 ".When using above method, the signal corresponding with three layers can be multiplexed and send via individual antenna, to make it possible to improve communication performance.But when using said method, CM value increases further, but the CM value increased can lower than another CM value obtained during any other value be all set to when all elements in pre-coding matrix except zero " 0 ".Thus, said method can be effectively utilized under transmitter does not need to send the good SNR state of data or information with maximum transmit power.

In one embodiment of the invention, pre-coding matrix P can by the P in following equation 27 ₁₂, P in following equation 28 ₁₃, P in following equation 29 ₁₄, or following equation 30 in P ₁₅represent.

[equation 27]

$P_{12}=\left[\begin{array}{cccc}1& m_{12}& m_{13}& 0\\ 0& 1& m_{23}& m_{24}\\ m_{31}& 0& 1& m_{34}\\ m_{41}& m_{42}& 0& 1\end{array}\right],$

$m_{\mathrm{ik}}\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\},i,k=\mathrm{1,2,3,4}$

[equation 28]

$P_{13}=\left[\begin{array}{cccc}1& 0& 1& 1\\ m_{21}& 0& m_{23}& m_{24}\\ 0& 1& m_{33}& m_{34}\\ 0& m_{42}& m_{43}& m_{44}\end{array}\right],$

$m_{\mathrm{ik}}\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\},i,k=\mathrm{1,2,3,4}$

[equation 29]

$P_{14}=\left[\begin{array}{cccc}1& 0& 1& 1\\ m_{21}& 0& m_{23}& m_{24}\\ m_{31}& 0& m_{33}& m_{34}\\ 0& 1& m_{43}& m_{44}\end{array}\right],$ $m_{\mathrm{ik}}\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\},i,k=\mathrm{1,2,3,4}$

[equation 30]

$P_{15}=\left[\begin{array}{cccc}1& 1& 1& 0\\ 0& c& -c& c\\ a& 0& -a& -a\\ b& -b& 0& b\end{array}\right],$ $a,b,c\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Pre-coding matrix P shown in equation 30 ₁₅be unitary matrice, make it possible to the advantage utilizing unitary pre-coding matrix.

The matrix obtained when constant being multiplied by the particular column of pre-coding matrix or another matrix obtained when performing row/column displacement to above-mentioned pre-coding matrix can be used as a part for code book.

The element of above-mentioned pre-coding matrix is selected from that to have be the absolute value of 1 and the plural number with any one corresponding phase place in+0 ° ,+45 ° ,+90 ° ,+135 ° ,+180 ° ,-135 ° ,-90 ° and-45 °.That is, the element of pre-coding matrix is selected from such as, above-mentioned selection is disclosed only for illustration of object, and the element of pre-coding matrix can be selected from have be 1 absolute value and one group of out of phase plural number.Such as, each element of pre-coding matrix can be selected from (wherein, α is arbitrary constant).

power-balance (powerbalancing)

Meanwhile, the transmitted power balance of each antenna and/or the transmitted power of each layer are equilibrated in codebook design and may be considered to very important problem.If do not regulate the transmitted power of each antenna in order to maximum uniformity (maximaluniformity), then between each transmitting antenna, produce performance difference.Similarly, if do not regulate the transmitted power of each layer in order to maximum uniformity, then between each code word, performance difference is produced.

Thus one embodiment of the present of invention propose the norm using all elements (that is, all elements of the particular row of pre-coding matrix) corresponding with each antenna of pre-coding matrix, consider antenna power balance, design the method for pre-coding matrix.In more detail, can to the following equation shown in 32 antenna power balance form utilize the pre-coding matrix shown in following equation 31.

[equation 31]

[equation 32]

On the other hand, one embodiment of the present of invention provide the norm of all elements (that is, all elements of the particular column of pre-coding matrix) using each layer, consider layer power-balance, design the method for pre-coding matrix.In more detail, the form of layer power-balance to the following equation shown in 34 pre-coding matrix shown in following equation 33 can be utilized.

[equation 33]

[equation 34]

In this case, be different from order 2 pre-coding matrix, the line number in 4Tx-order 3 pre-coding matrix and columns are unsuitable for performing antenna power balance and layer power-balance simultaneously.But, under specific circumstances, such as, in the system using layer conversion (layer being used for sending is changed into another layer according to the specific pattern in transmission mode by it), create the dispersed effect of performance difference between layer, layer power-balance may than antenna power equilibrium phase to more inessential.Therefore, one embodiment of the present of invention propose under the condition that simultaneously can not perform antenna power balance and layer power-balance, are used in the pre-coding matrix obtained when first performing aerial balance.

Meanwhile, the following pre-coding matrix in above-mentioned 4Tx-order 3 pre-coding matrix represents: because two symbols are sent to each layer, so can perform antenna power balance, represented by following equation 35.

[equation 35]

$P_0^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}{p}_{11}& 0& 0\\ 0& p_{22}& 0\\ 0& 0& p_{33}\\ \frac{p_{41}}{\sqrt{3}}& \frac{p_{42}}{\sqrt{3}}& \frac{p_{43}}{3}\end{array}\right]$ $P_4^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}\frac{1}{\sqrt{2}}& 0& \frac{1}{\sqrt{2}}\\ \frac{X}{\sqrt{2}}& 2& \frac{Z}{\sqrt{2}}\\ 0& 1& 0\\ 0& Y& 0\end{array}\right]$ $P_5^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}1& 0& 0\\ \frac{X}{\sqrt{2}}& \frac{1}{\sqrt{2}}& 0\\ 0& \frac{Y}{\sqrt{2}}& \frac{1}{\sqrt{2}}\\ 0& 0& Z\end{array}\right]$

Similarly, when following pre-coding matrix in 4Tx-order 3 pre-coding matrix, because only a symbol is sent to an antenna, so can only execution level power-balance, as shown in following formula 36.

[equation 36]

$P_1^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}\frac{1}{\sqrt{2}}& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ \frac{X}{\sqrt{2}}& 0& 0\end{array}\right]$ $P_2^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}1& 0& 0\\ 0& \frac{1}{\sqrt{2}}& 0\\ 0& 0& 1\\ 0& \frac{Y}{\sqrt{2}}& 0\end{array}\right]$ $P_3^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& \frac{1}{\sqrt{2}}\\ 0& 0& \frac{Z}{\sqrt{2}}\end{array}\right]$ $P_7^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}\frac{1}{\sqrt{3}}& 0& \frac{Z}{\sqrt{3}}\\ \frac{X}{\sqrt{3}}& \frac{1}{\sqrt{2}}& 0\\ 0& \frac{Y}{\sqrt{2}}& \frac{1}{\sqrt{3}}\\ \frac{A}{\sqrt{3}}& 0& \frac{C}{\sqrt{3}}\end{array}\right]$

$P_8^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}\frac{1}{\sqrt{2}}& 0& \frac{Z}{\sqrt{3}}\\ \frac{X}{\sqrt{2}}& \frac{1}{\sqrt{3}}& 0\\ 0& \frac{Y}{\sqrt{3}}& \frac{1}{\sqrt{3}}\\ 0& \frac{B}{\sqrt{3}}& \frac{C}{\sqrt{3}}\end{array}\right]$ $P_9^{\&prime;}=k\&CenterDot;\left[\begin{array}{ccc}\frac{1}{\sqrt{3}}& 0& \frac{Z}{\sqrt{2}}\\ \frac{X}{\sqrt{3}}& \frac{1}{\sqrt{3}}& 0\\ 0& \frac{Y}{\sqrt{3}}& \frac{1}{\sqrt{2}}\\ \frac{A}{\sqrt{3}}& \frac{B}{\sqrt{3}}& 0\end{array}\right]$

Meanwhile, according to another embodiment of the present invention, from the viewpoint performing antenna power balance and layer power-balance simultaneously, the present invention proposes 4Tx-order 3 pre-coding matrix of the following pre-coding matrix included represented by equation 37.

[equation 37]

${P_0^{\left(1\right)}}^{\&prime;}=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& 0\end{array}\right]$ ${P_0^{\left(2\right)}}^{\&prime;}=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 0\\ 0& 0& 1\end{array}\right]$ ${P_0^{\left(3\right)}}^{\&prime;}=\left[\begin{array}{ccc}1& 0& 0\\ 0& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$ ${P_0^{\left(4\right)}}^{\&prime;}=\left[\begin{array}{ccc}0& 0& 0\\ 1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$

In other words, equation 37 illustrates the pre-coding matrix being used as 4Tx-order 3 pre-coding matrix, and each pre-coding matrix in equation 37 is set up as and signal is not sent to single specific antenna.

Meanwhile, when being represented by following equation 38 example of the pre-coding matrix obtained during 4Tx-order 3 pre-coding matrix execution level power-balance.

[equation 38]

$P_{13}^{\&prime;}=k\&CenterDot;\left[\begin{array}{cccc}\frac{1}{\sqrt{2}}& 0& \frac{1}{2}& \frac{1}{2}\\ \frac{m_{21}}{\sqrt{2}}& 0& \frac{m_{23}}{2}& \frac{m_{24}}{2}\\ 0& \frac{1}{\sqrt{2}}& \frac{m_{33}}{2}& \frac{m_{34}}{2}\\ 0& \frac{m_{42}}{\sqrt{2}}& \frac{m_{43}}{2}& \frac{m_{44}}{2}\end{array}\right]$ $P_{14}^{\&prime;}=k\&CenterDot;\left[\begin{array}{cccc}\frac{1}{\sqrt{3}}& 0& \frac{1}{2}& \frac{1}{2}\\ \frac{m_{21}}{\sqrt{3}}& 0& \frac{m_{23}}{2}& \frac{m_{24}}{2}\\ \frac{m_{31}}{\sqrt{3}}& 0& \frac{m_{33}}{2}& \frac{m_{34}}{2}\\ 0& 1& \frac{m_{43}}{2}& \frac{m_{44}}{2}\end{array}\right]$

< code book beta pruning > (codebookpruning)

In 4Tx system, the pre-coding matrix corresponding with order 1, order 2, order 3 and order 4 can be used as the element of the code book used in transmitting terminal and receiving terminal.But when using all pre-coding matrixes, the size of code book excessively increases, and making must in quantity property retention being reduced while proper level pre-coding matrix.The embodiment that can reduce the quantity of pre-coding matrix will be described in detail below.The method limiting following pre-coding matrix can be utilized independently or side by side.

codebook element alphabet (alphabet) limits

From have be 1 absolute value and with each element selected in the plural number of any one corresponding phase place+0 ° ,+45 ° ,+90 ° ,+135 ° ,+180 ° ,-135 ° ,-90 ° and-45 ° in above-mentioned pre-coding matrix.

In one embodiment of the invention, in order to reduce the quantity of pre-coding matrix, each element of pre-coding matrix can be selected from that to have be the absolute value of 1 and the plural number with any one corresponding phase place in+0 ° ,+90 ° ,+180 ° and-90 °.That is, each element in pre-coding matrix can be selected from { 1, j ,-1 ,-j}.

Otherwise, each element of pre-coding matrix can be extracted in the subset that forms of the N number of alphabetical letter (letter) from 8 alphabets being spaced 45° angle.

to the restriction of unitary pre-coding matrix

When being included in each column vector in pre-coding matrix and being mutually orthogonal, pre-coding matrix can be unitary matrice or part unitary matrice.If pre-coding matrix has above-mentioned feature, then additional gain can be obtained.

Therefore, according to one embodiment of present invention, collect the unitary matrice in all aforementioned pre-coding matrixes or part unitary matrice, make to form code book.

Such as, row/column displacement is performed to the pre-coding matrix shown in following equation 39 and the pre-coding matrix shown in following equation 40, to obtain several matrix, and combine the matrix obtained, make to generate code book.

[equation 39]

$P^{\left(1\right)}=\left[\begin{array}{c}1\\ a\\ b\\ c\end{array}\right],$ $P^{\left(2\right)}=\left[\begin{array}{cc}1& 0\\ a& 0\\ 0& 1\\ 0& b\end{array}\right],$ $P^{\left(3\right)}=\left[\begin{array}{ccc}1& 0& 1\\ a& 0& -a\\ 0& 1& 0\\ 0& b& 0\end{array}\right],$

$P_1^{\left(4\right)}=\left[\begin{array}{cccc}1& 0& 1& 0\\ a& 0& -a& 0\\ 0& 1& 0& 1\\ 0& b& 0& -b\end{array}\right],$ $P_2^{\left(4\right)}=\left[\begin{array}{cccc}1& 1& 1& 0\\ 0& c& -c& c\\ a& 0& -a& -a\\ b& -b& 0& b\end{array}\right],$

Wherein, $a,b,c\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

to the restriction of nested structure (nestedstructure)

When constructing the pre-coding matrix of order 1, order 2, order 3 and order 4, when constructing the pre-coding matrix of order 2 or order 3 with the column vector of order 4 pre-coding matrix, the pre-coding matrix constructed is called as the pre-coding matrix with nested structure.If specific order 4 pre-coding matrix is used as a part for precoding codebook, then should configure order 3 pre-coding matrix with the column vector of this specific order 4 pre-coding matrix, to make to produce restriction in the structure of pre-coding matrix.Thus, codebook size can be limited according to aforementioned norm (norm) or standard.

In one embodiment of the invention, the pre-coding matrix of order 1, order 2, order 3 and order 4 has nested structure.

Such as, code book can be constructed with the combination of replacing the matrix obtained by performing row/column to the pre-coding matrix shown in following equation 40.

[equation 40]

$P^{\left(1\right)}=\left[\begin{array}{c}1\\ a\\ b\\ c\end{array}\right],$ $P^{\left(2\right)}=\left[\begin{array}{cc}1& 0\\ a& 0\\ 0& 1\\ 0& b\end{array}\right],$ $P^{\left(3\right)}=\left[\begin{array}{ccc}1& 0& 1\\ a& 0& -a\\ 0& 1& 0\\ 0& b& 0\end{array}\right],$ $P_1^{\left(4\right)}=\left[\begin{array}{cccc}1& 0& 1& 0\\ a& 0& -a& 0\\ 0& 1& 0& 1\\ 0& b& 0& -b\end{array}\right]$

Wherein, $a,b,c\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Except the matrix shown in above-mentioned equation, other applicable matrixes can also be there is.Can easily understand, can by obtaining applicable matrix to above-mentioned matrix execution line replacement and/or column permutation.In the present invention, because pre-coding matrix has the element that value is 0, so specific antenna can not be mapped to specific inlet flow.This operation can be considered to antenna selection function.

II. the long form of code book

After this, when code book is designed to meet above-mentioned codebook design rule, will describe in detail for the method being used for the pre-coding matrix of each order comprised in the codebook of making decision in the situation of consideration chordal distance.

Fig. 9 is the schematic diagram that chordal distance is shown.

As everyone knows, chordal distance is one of the norm (or standard) for the performance of more multiple code book collection.At this, term " string " represents the straight line between two circumferentially.Therefore, given two dimension (2D) situation, chordal distance represents the distance between circumferentially two that are positioned at circle (such as, unit circle), as shown in Figure 9.

4Tx-code book needs to consider four-dimensional chordal distance, can be used as chordal distance for selecting code book collection to make following equation 41.

[equation 41]

$d_c(P,Q)=\frac{1}{\sqrt{2}}{\left|\right|{\mathrm{PP}}^H-{\mathrm{QQ}}^H\left|\right|}_F$

In equation 41, P is P=[v ₁v ₂v _n], and Q is Q=[u ₁u ₂u _n], wherein, v _iand u _i(when 4Tx antenna, i=1,2 ... N, N=4) be the principal vector (principalvector) of matrix P and Q respectively.In addition, it is the Frobenius norm of matrix.Above-mentioned chordal distance can also be measured by following equation 42.

[equation 42]

$d_c(P,Q)=\frac{1}{\sqrt{2}}{\left|\right|{\mathrm{PP}}^H-{\mathrm{QQ}}^H\left|\right|}_F$

$=\sqrt{n-\mathrm{trace}\left({\mathrm{AA}}^H{\mathrm{BB}}^H\right)}$

Wherein, A and B is the orthogonal generator matrix being respectively used to P and Q.

By the above-mentioned codebook design using above-mentioned chordal distance concept to describe the 4Tx system be used for based on four transmitting antennas.Understand the present invention for convenience of description and better, below express and omit the factor relevant to power-balance.

order 2

First, suppose to use the following decode basis that can keep good CM performance about 4Tx-order 2 system.

[equation 43]

First group $(\left[\begin{array}{cc}1& 0\\ X& 0\\ 0& 1\\ 0& Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ X& 0\\ 0& 1\\ 0& -Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ -X& 0\\ 0& 1\\ 0& Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ -X& 0\\ 0& 1\\ 0& -Y\end{array}\right])$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},\}$

Second group $(\left[\begin{array}{cc}1& 0\\ 0& 1\\ X& 0\\ 0& Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ X& 0\\ 0& -Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ -X& 0\\ 0& Y\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ -X& 0\\ 0& -Y\end{array}\right])$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},\}$

3rd group $(\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& Y\\ X& 0\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& -Y\\ X& 0\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& Y\\ -X& 0\end{array}\right],\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& -Y\\ -X& 0\end{array}\right])$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}}\}$

Although the quantity meeting the pre-coding matrix of above-mentioned form can be sizable number, preferably design the code book of the pre-coding matrix comprising predetermined quantity according to rational norm.Below describing to propose uses following norm to be used for the restricted number of the pre-coding matrix of each order to predetermined quantity or less method.

First norm (norm 1): chordal distance

Second norm (norm 2): represent whether pre-coding matrix is selected from the reference of each group equably.If the quantity of the pre-coding matrix/vector in code book can not be eliminated by group number, then consider that the first norm (norm 1) is selected pre-coding matrix the most equably.

Above-mentioned norm can not only be applied to order 3 comparably, and is applied to the order 4 described subsequently.

In more detail, one embodiment of the present of invention propose the method using norm 1 to select the set of pre-coding matrix from the code book about specific order.In a first step, equation 42 is used to calculate with all pre-coding matrixes be included in single code book relevant chordal distance.Such as, if there are four code book collection, then four minimum chordal distance values can be represented by following formula.

[expression formula]

$d_{c,\min }^1=1,$ $d_{c,\min }^2=0.56,$ $d_{c,\min }^3=0.71\mathrm{and}{d}_{c,\min }^4=1$

In above expression formula, the value of (wherein, i is code book collection number) is higher, and systematic function is higher.Therefore, preferably first and the 4th code book enter and next select step.

In the second step, in order to support multiple wireless channel environment, the present invention proposes as each group of method selecting pre-coding matrix the most equably.Such as, according to proposed method of the present invention, if there are three code book groups and need 16 pre-coding matrixes as order-2 code book, then from two groups, select 5 pre-coding matrixes, and select 6 pre-coding matrixes from a remaining group.Such as, according to proposed method of the present invention, 5 pre-coding matrixes are selected from the first two group, and 6 pre-coding matrixes are selected from last group.One embodiment of the present of invention can consider the above-mentioned alphabetic(al) method for limiting each pre-coding matrix, and wherein, such as, alphabet " X " can be limited to X=1, j ,-1, or-j.Following discussion illustrate exemplary 4Tx order-2 code book that can be configured by above step.

[table 1]

Order-2 code book collection 1-1

Order-2 code book collection 2-1

Order-2 code book collection 3-1

Order-2 code book collection 4-1

Order-2 code book collection 5-1

Order-2 code book collection 6-1

Order-2 code book collection 7-1

Order-2 code book collection 8-1

Order-2 code book collection 9-1

Order-2 code book collection 10-1

Order-2 code book collection 11-1

Order-2 code book collection 12-1

Open above-mentioned code book shown in table 1 is only for illustration of object, and line replacement and/or column permutation can be applied to all pre-coding matrixes or some pre-coding matrixes.

If 4Tx order-2 code book comprises 15 pre-coding matrixes, then can have selected among each pre-coding matrix group the group of the pre-coding matrix of maximum quantity and remove a pre-coding matrix.Below describe and exemplary 4Tx order-2 code book configured by such scheme is shown.

[table 2]

Order-2 code book collection 1-2

Order-2 code book collection 2-2

Order-2 code book collection 3-2

Order-2 code book collection 4-2

Order-2 code book collection 5-2

Order-2 code book collection 6-2

Order-2 code book collection 7-2

Order-2 code book collection 8-2

Order-2 code book collection 9-2

Order-2 code book collection 10-2

Order-2 code book collection 11-2

Order-2 code book collection 12-2

Open code book shown in table 2 is also only for illustration of object, can perform line replacement and/or column permutation to all pre-coding matrixes in code book or some pre-coding matrixes.

order 3-first embodiment

In order to design 4Tx order-3 code book to keep good CM characteristic, suppose to use following three pre-coding matrix groups.For convenience of description, the factor relevant to power-balance is omitted at this.

[equation 44]

1st group

$(\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& 1& 0\\ 0& Y& 0\end{array}\right],\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& 1& 0\\ 0& -Y& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 0& X& 0\\ 1& 0& 1\\ Y& 0& -Y\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 0& -X& 0\\ 1& 0& 1\\ Y& 0& -Y\end{array}\right])$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}}\}$

2nd group

$(\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& 0\\ X& 0& -X\\ 0& Y& 0\end{array}\right],\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& 0\\ X& 0& -X\\ 0& -Y& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 1\\ 0& X& 0\\ Y& 0& -Y\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 1\\ 0& -X& 0\\ Y& 0& -Y\end{array}\right])$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}}\}$

3rd group

$(\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& 0\\ 0& Y& 0\\ X& 0& -X\end{array}\right],\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& 0\\ 0& -Y& 0\\ X& 0& -X\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 1\\ Y& 0& -Y\\ 0& X& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 1\\ Y& 0& -Y\\ 0& -X& 0\end{array}\right])$ $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}}\}$

When order 3, the present invention proposes the method constructing code book in the mode identical with order 2 according to above-mentioned norm 1 and norm 2.In more detail, use equation 42 to calculate and combine relevant chordal distance with all pre-coding matrixes available in code book, then can select the set of the minimum number with largest chord distance.In addition, the present invention proposes the method selecting pre-coding matrix from each group (the 1st group, the 2nd group or the 3rd group) the most equably.If the letter represented by the pre-coding matrix component of each group is limited to (1, j ,-1 ,-j), then can obtains and can meet minimum chordal distance following code book.

[table 3]

Order-3 code book collection 1-1

Order-3 code book collection 2-1

Order-3 code book collection 3-1

Order-3 code book collection 4-1

Order-3 code book collection 5-1

Order-3 code book collection 6-1

Order-3 code book collection 7-1

Order-3 code book collection 8-1

It should be noted that all pre-coding matrixes of the above-mentioned code book shown in his-and-hers watches 3 or some pre-coding matrixes to perform line replacement and/or column permutation.

Be included in order-3 code book iff 15 pre-coding matrixes, from the code book shown in table 3, then remove a pre-coding matrix in the group of the pre-coding matrix that have selected maximum quantity among each group, the result after removing can be configured as shown in following table 4.

[table 4]

Order-3 code book collection 1-2

Order-3 code book collection 2-2

Order-3 code book collection 3-2

Order-3 code book collection 4-2

Order-3 code book collection 5-2

Order-3 code book collection 6-2

Order-3 code book collection 7-2

Order-3 code book collection 8-2

It should be noted that can all above-mentioned pre-coding matrix shown in his-and-hers watches 4 or some above-mentioned pre-coding matrix execution line replacement and/or column permutation.

order 3-second embodiment

In one embodiment of the invention, 6 pre-coding matrix groups of good CM characteristic can be kept to construct the method for code book description use below.Can be represented by following equation 45 for keeping six 4Tx order-3 pre-coding matrix groups of good CM characteristic.

[equation 45]

1st group 2nd group 3rd group 4th group 5th group 6th group

Wherein, $X\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

To have illustrated the example of order-3 code book of 24 pre-coding matrixes comprised in the group of 6 shown in equation 45 in following table 5.In order to reduce complexity, in the example in table 5, be restricted to 1 ,-j ,-1 by the letter of pre-coding matrix element representation, and-j.

[table 5]

For another example, the present invention proposes the method for the remaining set utilized except the 4th group (the 4th group), generated the 4th group (the 4th group) by first group (the 1st group) column permutation being applied in all groups shown in equation 45.Usually, if three column vectors are represented by [c1, c2, c3], then can generate such as [c1, c3, c2], [c2, c1, c3], [c2, c3, c1], [c3, c2, c1], and 5 of [c3, c1, c2] column permutation matrixes, thus 6 matrixes can be obtained.

The above-mentioned reason of specific vector permutation matrix that do not use is, the sequence of coding is mapped to the particular column vector (or certain layer) of pre-coding matrix.Suppose that the code word of two absolute codings in above-mentioned pre-coding matrix group is mapped to different layers, as described below.

(1) first code word is mapped to ground floor.

(2) second code words are evenly distributed over and map to the second layer and third layer.

Suppose to use above code word-layer to map, then particular column displacement does not produce the difference of the average SINR between different code word.Such as, can represent that to only have the layer of the second code word exchanged from column vector [c1, c2, c3] to the displacement of another column vector [c1, c3, c2].Like this, the exchange (the second wherein, identical code word is evenly distributed over and maps) between two-layer does not cause performance change.For the system utilizing SIC receiver, during the transmission of given multiple code word, being correctly decoded of code word causes performance to improve.This is because code word is once correctly decoded.So, the codeword information be correctly decoded can be used to eliminate space layer interference.In the transmitted power of multiple antenna by normalized situation equably, some column vectors of pre-coding matrix can have larger transmitted power.When there is not layer conversion/displacement between all transmit layer, good performance can be had with the certain layer that column vector has the column vector of the pre-coding matrix of larger transmitted power corresponding.All layers sent do not exist layer conversion/displacement, in order to make full use of SIC receiver, first code word is mapped to the pre-coding matrix column vector with larger transmitted power by the ground floor be mapped to separately, and is mapped to the second layer and the second code word of third layer and is mapped to the precoding vector row compared with ground floor with relatively little transmitted power.When using above code word-layer to map, the pre-coding matrix shown in [equation 46] can be used to improve performance when using serial interference elimination (SIC) receiver algorithm further.

[equation 46]

1st group 2nd group 3rd group 4th group 5th group

Wherein, $X\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Following code book is exemplary 4Tx order-3 code book, and the letter be included in each above pre-coding matrix is restricted to 1, j ,-1 by wherein each, and-j, and comprises 20 pre-coding matrixes.

[table 6]

Simultaneously, according to another embodiment of the present invention, the quantity of the pre-coding matrix obtained needed for optimum performance from high order is less than the quantity obtaining the pre-coding matrix needed for optimum performance from low-rank, order-3 code book can be restricted to the code book having and be less than 24 pre-coding matrixes to make the present invention.In this case, the present invention can use norm 2 to select pre-coding matrix equably from 6 pre-coding matrix groups.

[table 7]

As can be seen from the example of table 7, if e ^{-j θ}be multiplied by particular column vector, then the improvement of the column permutation in pre-coding matrix on performance does not affect, and makes the quantity of the pre-coding matrix comprised in the codebook be restricted to 12.Meanwhile, according to one embodiment of present invention, antenna permutation can be performed, to obtain antenna selection gain.Can also by the line replacement of the pre-coding matrix be included in above-mentioned code book to realize antenna permutation.

order 3-the 3rd embodiment

In the third embodiment of the present invention, suppose that following 6 pre-coding matrix groups are considered to keep the pre-coding matrix of good CM performance.

[equation 47]

1st group $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ X& 0& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 0\\ 0& 0& 1\\ 0& X& 0\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\\ 0& 0& X\end{array}\right]$

2nd group $\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 0\\ 0& 0& 1\\ X& 0& 0\end{array}\right],\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& X& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 0& 0& 1\\ 1& 0& 0\\ 0& 0& X\end{array}\right]$

3rd group $\left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\\ X& 0& 0\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\\ 1& 0& 0\\ 0& 1& 0\\ 0& X& 0\end{array}\right],\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& X\end{array}\right]$

4th group $\left[\begin{array}{ccc}0& 1& 0\\ 0& 0& 1\\ 1& 0& 0\\ 0& X& 0\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\\ 1& 0& 0\\ 0& 1& 0\\ 0& 0& X\end{array}\right]$

5th group $\left[\begin{array}{ccc}1& 0& 0\\ X& 0& 0\\ 0& 0& 1\\ 0& 1& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 0& X& 0\\ 0& 0& 1\\ 1& 0& 0\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\\ 0& 0& X\\ 1& 0& 0\\ 0& 1& 0\end{array}\right]$

6th group $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ X& 0& 0\\ 0& 0& 1\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 0\\ 0& X& 0\\ 0& 0& 1\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 0& 0& X\\ 1& 0& 0\end{array}\right]$

Wherein, $X\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

When first group (the 1st group) in equation 47, can recognize, three permutation matrixes are selected from [c1, c3, c2], [c2, c1, c3], [c2, c3, c1], [c3, c2, c1] and [c3, c1, c2].When the 4th group (the 4th group), can recognize, the pre-coding matrix of a composition is excluded, because the pre-coding matrix got rid of has been included in first group (the 1st group).Preferably when not execution level conversion operations, utilize the 3rd embodiment.3rd embodiment can use the code book comprising the pre-coding matrix collection performing column permutation to realize layer conversion.Thus information sequence can be mapped to all layers, the SINR difference of interlayer can be normalized.

3rd embodiment can use the first norm (norm 1) and the second norm (norm 2) to select pre-coding matrix.

order 3-the 4th embodiment

4th embodiment thinks that following three groups is pre-coding matrix group for keeping good CM characteristic.

[equation 48]

$G1=\left[\begin{array}{ccc}1& 0& a\\ X& 0& b\\ 0& 1& c\\ 0& Y& d\end{array}\right],$ $G2=\left[\begin{array}{ccc}1& 0& a^{\&prime;}\\ 0& 1& b^{\&prime;}\\ X& 0& c^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right],$ $G3=\left[\begin{array}{ccc}1& 0& a^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\end{array}\right],$

Wherein, $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Last column vector in pre-coding matrix group shown in equation 48 can be different pre-coding matrixes, such as based on the precoding vector/matrix of DFT or the precoding vector/matrix based on bold and unconstrained Si Huoerde (household).Such as, the example of last vector can be order-1 code book of 3GPPLTE system (distribution version 8 system).Preferably, in order to keep matrix orthogonal/part feature at the tenth of the twelve Earthly Branches, matrix with feature at the tenth of the twelve Earthly Branches must be met.Similarly, matrix matrix and matrix and matrix matrix with feature at the tenth of the twelve Earthly Branches must be met.This means, parameter must meet following relation.

[equation 49]

In the 1st group: a=1, b=-X, and c=-dY ^*

In the 2nd group: a '=1, b '=-X, and c '=-d ' Y ^*

In the 3rd group: a "=1, b "=-X, and c "=-d " Y ^*

In this case, although specific complex constant to be multiplied by each column vector of specific pre-coding matrix, this means the pre-coding matrix that multiplied result represents identical, so hypothesis a, a ', or a " is set to 1.

Preferably, the 4th embodiment can be applied to situation when execution level is replaced.Stratification changes operation and represents that customizing messages sequence is recycled mapping and is sent to all layers, and the SINR performance difference of each layer is normalized.If use equal-wattage in different layers, then from the viewpoint of precoded output signal, the data sequence of the last layer corresponding with not having the last row of 0 value has the highest power.

When changing when not using stratification and use enhancement mode SIC receiver algorithm, the layer that the first code word is mapped to preferably should be relatively higher than with transmitted power the precoding vector that other precoding vectors arrange and arrange corresponding.When [equation 48], the 3rd row can have the transmitted power larger than other row.Be mapped to ground floor for first row, secondary series is mapped to the second layer, and the 3rd row are mapped to the situation of third layer, and [equation 48a] can be used to replace [equation 48].Permission is improved performance when not using stratification to change and use when SIC receiver by this pre-coding matrix structure, and when this is due to given multiple codeword transmission, the probability that is correctly decoded of whole code word improves.

[equation 48a]

$G1=\left[\begin{array}{ccc}a& 0& 1\\ b& 0& X\\ c& 1& 0\\ d& Y& 0\end{array}\right],$ $G2=\left[\begin{array}{ccc}{a}^{\&prime;}& 0& 1\\ b^{\&prime;}& 1& 0\\ c^{\&prime;}& 0& X\\ d^{\&prime;}& Y& 0\end{array}\right],$ $G3=\left[\begin{array}{ccc}{a}^{\&prime;\&prime;}& 0& 1\\ b^{\&prime;\&prime;}& 1& 0\\ c^{\&prime;\&prime;}& 0& X\\ d^{\&prime;\&prime;}& Y& 0\end{array}\right]$

Wherein, $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

order 3-the 5th embodiment

In the 5th embodiment, suppose that following group shown in equation 50 is used as the pre-coding matrix group keeping good CM performance.

[equation 50]

$G1=\left(\left[\begin{array}{ccc}1& 0& a\\ X& 0& b\\ 0& 1& c\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}0& 1& a\\ 0& X& b\\ 1& 0& c\\ Y& 0& d\end{array}\right]\left[\begin{array}{ccc}a& 0& 1\\ b& 0& X\\ c& 1& 0\\ d& Y& 0\end{array}\right]\right)$

$G2=\left(\left[\begin{array}{ccc}1& 0& a^{\&prime;}\\ 0& 1& b^{\&prime;}\\ X& 0& c^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& 1& a^{\&prime;}\\ 1& 0& b^{\&prime;}\\ 0& X& c^{\&prime;}\\ Y& 0& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}{a}^{\&prime;}& 0& 1\\ b^{\&prime;}& 1& 0\\ c^{\&prime;}& 0& X\\ d^{\&prime;}& Y& 0\end{array}\right]\right)$

$G3=\left(\left[\begin{array}{ccc}1& 0& a^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& 1& a^{\&prime;\&prime;}\\ 1& 0& b^{\&prime;\&prime;}\\ Y& 0& c^{\&prime;\&prime;}\\ 0& X& d^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}{a}^{\&prime;\&prime;}& 0& 1\\ b^{\&prime;\&prime;}& 1& 0\\ c^{\&prime;\&prime;}& Y& 0\\ d^{\&prime;\&prime;}& 0& X\end{array}\right]\right)$

Wherein, $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Pre-coding matrix group shown in equation 50 is made up of the multiple pre-coding matrixes obtained when performing line replacement or column permutation to the structure of the 4th embodiment.Column vector in pre-coding matrix group shown in equation 50 can be different pre-coding matrixes, such as based on the precoding vector/matrix of DFT or the precoding vector/matrix based on bold and unconstrained Si Huoerde.Such as, the example of above column vector can be order-1 code book of 3GPPLTE system (distribution version 8 system).

Be similar to the 4th embodiment, in the 5th embodiment, preferably pre-coding matrix vector is orthogonal, and is all set to 1 except for the element except first value of 0 in all column vectors of each pre-coding matrix group.

The pre-coding matrix generated when comprising according to the code book of the 5th embodiment column permutation is performed to the pre-coding matrix of the 4th embodiment.As mentioned above, the pre-coding matrix with column vector [c1, c2, c3] can have 6 column permutation pre-coding matrixes, such as [c1, c3, c2], [c2, c1, c3], [c2, c3, c1], [c3, c2, c1], [c3, c1, c2] and [c3, c1, c2].

The reason not comprising particular column displacement is, the first code word be mapped to ground floor and the second code word be distributed and map to pre-coding matrix in the system of the second layer and third layer second and the 3rd column permutation do not cause in performance difference.

order 3-the 6th embodiment

The form obtained during to perform line replacement to the pre-coding matrix of the code book shown in the 4th embodiment configures the pre-coding matrix according to the 6th embodiment, because can switch by antenna the pre-coding matrix obtaining the 6th embodiment.

Pre-coding matrix according to the 6th embodiment can be represented by following equation 51.

[equation 51]

$G1=\left(\left[\begin{array}{ccc}1& 0& a\\ X& 0& b\\ 0& 1& c\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}X& 0& b\\ 1& 0& a\\ 0& 1& c\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}0& 1& c\\ X& 0& b\\ 1& 0& a\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}0& Y& d\\ X& 0& b\\ 0& 1& c\\ 1& 0& a\end{array}\right]\left[\begin{array}{ccc}1& 0& a\\ 0& 1& c\\ X& 0& b\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}1& 0& a\\ 0& Y& d\\ 0& 1& c\\ X& 0& b\end{array}\right]\left[\begin{array}{ccc}1& 0& a\\ X& 0& b\\ 0& Y& d\\ 0& 1& c\end{array}\right]\right)$

$G2=\left(\left[\begin{array}{ccc}1& 0& a^{\&prime;}\\ 0& 1& b^{\&prime;}\\ X& 0& c^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& 1& b^{\&prime;}\\ 1& 0& a^{\&prime;}\\ X& 0& c^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}X& 0& c^{\&prime;}\\ 0& 1& b^{\&prime;}\\ 1& 0& a^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& Y& d^{\&prime;}\\ 0& 1& b^{\&prime;}\\ X& 0& c^{\&prime;}\\ 1& 0& a^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& a^{\&prime;}\\ X& 0& c^{\&prime;}\\ 0& 1& b^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& a^{\&prime;}\\ 0& Y& d^{\&prime;}\\ X& 0& c^{\&prime;}\\ 0& 1& b^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& a^{\&prime;}\\ 0& 1& b^{\&prime;}\\ 0& Y& d^{\&prime;}\\ X& 0& c^{\&prime;}\end{array}\right]\right)$

$G3=\left(\left[\begin{array}{ccc}1& 0& a^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& 1& b^{\&prime;\&prime;}\\ 1& 0& a^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& Y& c^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ 1& 0& a^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}X& 0& d^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ 1& 0& a^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& a^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& a^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& a^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ X& 0& d^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\end{array}\right]\right)$

$X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

[equation 51]

Column vector or their line replacement form can be different pre-coding matrix, such as based on the precoding vector/matrix of DFT or the precoding vector/matrix based on bold and unconstrained Si Huoerde.Such as, the example of above column vector can be order-1 code book of 3GPPLTE system (distribution version 8 system).

Be similar to the 4th embodiment, in the sixth embodiment, preferably the column vector of pre-coding matrix is orthogonal, and element a, a ', or a " is set to 1.Example according to the code book of the 6th embodiment can be represented by following equation 52.

[equation 52]

${G1}^{\&prime;}=\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& 1& c\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}X& 0& -X\\ 1& 0& 1\\ 0& 1& c\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}0& 1& c\\ X& 0& -X\\ 1& 0& 1\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}0& Y& d\\ X& 0& -X\\ 0& 1& c\\ 1& 0& 1\end{array}\right]\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& c\\ X& 0& -X\\ 0& Y& d\end{array}\right]\left[\begin{array}{ccc}1& 0& 1\\ 0& Y& d\\ 0& 1& c\\ X& 0& -X\end{array}\right]$

$\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& Y& d\\ 0& 1& c\end{array}\right]$

${G2}^{\&prime;}=\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& b^{\&prime;}\\ X& 0& -X\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& 1& b^{\&prime;}\\ 1& 0& 1\\ X& 0& -X\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}X& 0& -X\\ 0& 1& b^{\&prime;}\\ 1& 0& 1\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}0& Y& d^{\&prime;}\\ 0& 1& b^{\&prime;}\\ X& 0& -X\\ 1& 0& 1\end{array}\right]\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& 1& b^{\&prime;}\\ 0& Y& d^{\&prime;}\end{array}\right]\left[\begin{array}{ccc}1& 0& 1\\ 0& Y& d^{\&prime;}\\ X& 0& -X\\ 0& 1& b^{\&prime;}\end{array}\right]$

$\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& b^{\&prime;}\\ 0& Y& d^{\&prime;}\\ X& 0& -X\end{array}\right]$

${G3}^{\&prime;}=\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& b^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ X& 0& -X\end{array}\right]\left[\begin{array}{ccc}0& 1& b^{\&prime;\&prime;}\\ 1& 0& 1\\ 0& Y& c^{\&prime;\&prime;}\\ X& 0& -X\end{array}\right]\left[\begin{array}{ccc}0& Y& c^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ 1& 0& 1\\ X& 0& -X\end{array}\right]\left[\begin{array}{ccc}X& 0& -X\\ 0& 1& b^{\&prime;\&prime;}\\ 0& Y& c^{\&prime;\&prime;}\\ 1& 0& 1\end{array}\right]\left[\begin{array}{ccc}1& 0& 1\\ 0& Y& c^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\\ X& 0& -X\end{array}\right]\left[\begin{array}{ccc}1& 0& 1\\ X& 0& -X\\ 0& Y& c^{\&prime;\&prime;}\\ 0& 1& b^{\&prime;\&prime;}\end{array}\right]$

$\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& b^{\&prime;\&prime;}\\ X& 0& -X\\ 0& Y& c^{\&prime;\&prime;}\end{array}\right]$

Wherein, $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

order 3-the 7th embodiment

The code book according to the 7th embodiment is configured with the form of the line replacement of the code book shown in the 5th embodiment.Example according to the code book of the 7th embodiment can be represented by following equation 53.

[equation 53]

Wherein, $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

Column vector or their line replacement form can be different pre-coding matrix, such as based on the precoding vector/matrix of DFT or the precoding vector/matrix based on bold and unconstrained Si Huoerde.Such as, the example of above column vector can be order-1 code book of 3GPPLTE system (distribution version 8 system).

Be similar to the 4th embodiment, in the 7th embodiment, preferably the column vector of pre-coding matrix is orthogonal, and element a, a ', or a " be set to 1.Preferably using the code book according to the present embodiment when not performing antenna permutation, this is because when the code book of use the 7th embodiment, antenna permutation effect can be realized by the pre-coding matrix performing line replacement.

Example according to the code book of the 7th embodiment can be represented by following equation 54.

[equation 54]

$G1=$

$G2=$

$G3=$

Wherein, $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$

for selecting the reference of other pre-coding matrix

Except norm 1 and norm 2, the present embodiment is designed to consider another norm.In this norm, the element represented by the letter be included in each pre-coding matrix group is not be selected from eight values, but is limited to 1, j ,-1 and-j, thus decrease the quantity of the pre-coding matrix comprised in the codebook.

According to the present embodiment, consider the code book collection comprising 16 pre-coding matrixes.Such as, the order 1DFT vector about 4Tx antenna can represent as follows.

Based on N × NDFT matrix (or Fourier matrix) F of given component (component) _n, be such as normalized to f _n=e ^{-j2 π/N}, represented by following equation 55.

[equation 55]

$F_N=\left[\begin{array}{ccccc}1& 1& 1& \&CenterDot;\&CenterDot;\&CenterDot;& 1\\ 1& F_N^1& F_N^2& \&CenterDot;\&CenterDot;\&CenterDot;& F_N^{N-1}\\ \&CenterDot;& \&CenterDot;& \&CenterDot;& & \&CenterDot;\\ \&CenterDot;& \&CenterDot;& \&CenterDot;& \&CenterDot;\&CenterDot;\&CenterDot;& \&CenterDot;\\ \&CenterDot;& \&CenterDot;& \&CenterDot;& & \&CenterDot;\\ 1& F_N^{(N-1)}& F_N^{2\&CenterDot;(N-1)}& \&CenterDot;\&CenterDot;\&CenterDot;& F_N^{(N-1)\&CenterDot;(N-1)}\end{array}\right]$

Order 1DFT vector about 4Tx antenna is made up of 16 column vectors of the initial four lines being positioned at equation 55.

[table 8]

Next, the bold and unconstrained Si Huoerde vector of 4Tx order 1 (HH vector) can represent by with following table 9.

[table 9]

codebook size limits

At least one in first to the 3rd norm (norm 1, norm 2 and norm 3) can be used to the quantity limiting the pre-coding matrix comprised in the codebook.In the present embodiment, the codebook size described in detail for each order is limited, particularly, the size restriction of order 1 code book.

At present, the down link 4Tx code book for 3GPPLTE system specifies that each order has the vector/matrix (that is, 16 vector/matrixes) of equal number.But, it is well known in the art that the quantity of the pre-coding matrix obtained needed for optimum performance from high order is less than the quantity obtaining the pre-coding matrix needed for optimum performance from low-rank.For this purpose, this embodiment of the present invention proposes new code book form, and wherein, the quantity of the pre-coding matrix of low-rank, higher than the quantity of the pre-coding matrix of high order, makes each order have the pre-coding matrix of varying number.

Meanwhile, mobile communication system can support multiple transmission mode.Suppose that X transmission mode can, effectively for being positioned at the UE of cell edge, make UE can support to use the close loop maneuver of order 1 precoding matrix indicators (PMI).In this case, order 1PMI vector can be selected from order 1 pre-coding matrix be included in whole code book, and this whole code book is by supporting that multiple pre-coding matrixes of all orders of Y transmission mode (such as, open loop MIMO or closed-loop MIMO) are formed.In this case, suppose that X transmission mode is different from Y transmission mode.For Y transmission mode, the size of order 1 code book does not need the power being configured to two.In addition, although order 1 codebook size is configured to the power of two, only has codebook size to increase, and there is no higher performance improvement.Therefore, this embodiment proposes the method limiting codebook size while having proper property reasoningly, makes it possible to represent code book with the feedback information of less amount.

First, suppose that the quantity of the pre-coding matrix of each order of support Y transmission mode is set to A-order 1, B-order 2, C-order 3 and D-order 4 (wherein, D≤C≤B≤A).In this case, the size of whole code book equals the summation of A, B, C and D.In order to support above codebook size, need the m bit signalling for meeting the following condition shown in equation 56.

[equation 56]

A+B+C+D≤2 ^m

If UE is configured to use X transmission mode, then UE can use order 1PMI information.Preferably again limit 2 ⁿindividual order 1PMI (wherein, n < m), to reduce the bit number required by signaling.Multiple method (1), (2), (3), (4), (5) and (6) can be used to reduce signaling bit number.

(1) method 1

If of course, select even number index.

(2) method 2

If of course, select odd number index.

(3) method 3

Select initial 2 ⁿindividual index.

(4) method 4

Select last 2 ⁿindividual index.

(5) method 5

Any selection index.

(6) method 6

Structure is realized by signaling.

Such as, for Y transmission mode, for order 1 provides 33 pre-coding matrixes, for order 2 provides 15 pre-coding matrixes, for order 3 provides 15 pre-coding matrixes, and provide 4 pre-coding matrixes for order 4.

In this case, can use the multiple method (1) for constructing order 1 code book, (2), (3), (4), (5) and (6), this order 1 code book is used for only representing 16 pre-coding matrixes.

(1) method 1

If of course, select even number index

(2) method 2

If of course, select odd number index

(3) method 3

Select 16 initial indexes.

(4) method 4

Select 16 last indexes.

(5) method 5

Any selection index.

(6) method 6

Structure is realized by signaling.

Meanwhile, can use the multiple method (1) for constructing order 1 code book, (2), (3) and (4), this order 1 code book is used for only representing 32 pre-coding matrixes.

(1) method 1

Select 32 initial indexes.

(2) method 2

Select 32 last indexes.

(3) method 3

Any selection index.

(4) method 4

Structure is realized by signaling.

Include in order 1 code book of 32 pre-coding matrixes if 16 down link order 1 vectors are included in, then can use following method for limiting (I) and (II).

To the method for limiting (I) corresponding with the situation of order 1 code book constructing 16-size be described in detail and describe in detail below.

A) 16 down link order 1 vectors are selected.

B) select 16-size order 1 code book, and do not consider down link order 1 vector.

(1) 16 initial indexes are selected.

(2) 16 last indexes are selected.

(3) index is selected arbitrarily.

(4) structure is realized by signaling.

Another method for limiting (II) corresponds to the another kind of situation of structure 32-size order 1 code book, and will describe its detailed description in detail following.

A) vector selecting 16 down link orders 1 vectorial+other.

(1) 16 initial indexes are selected.

(2) 16 last indexes are selected.

(3) index is selected arbitrarily.

(4) structure is realized by signaling.

B) select 32-size order 1 code book, and do not consider down link order 1 vector.

(1) 32 initial indexes are selected.

(2) 32 last indexes are selected.

(3) index is selected arbitrarily.

(4) structure is realized by signaling.

The quantity of the code book of each order effectively can be configured to according to such scheme.

iII. Equipments Setting

The modified node method that III chapter will be included in following discloses in UE, wherein, modified node method can keep good PAPR or CM characteristic, MIMO scheme application first downlink signal is sent simultaneously.

Figure 10 is the block diagram that general base station (BS) and general user's equipment (UE) are shown.

Processor 11, memory 12 and radio frequency (RF) module 13 is comprised with reference to Figure 10, base station (BS) 10.RF module 13 is used as receiving uplink signal and sends the transmission/reception module of down link signal.Processor 11 can use storage down link signal in memory 12 to send information (such as, being included in for the specific pre-coding matrix in the code book of downlink signal transmissions) and control downlink signal transmissions.Otherwise, as the reverse process of precoding processing, processor 11 can receive information (such as by the uplink signal that will store in memory 12, uplink signal) be multiplied by the Hermitian matrix of same pre-coding matrix as the pre-coding matrix used in UE20, carry out control signal and receive process.

UE20 can comprise the processor 21, memory 22 and the RF module 23 that are used as the transmission/reception module sending uplink signal and receiving downlink signal.Processor 21 can use the uplink signal be stored in memory 22 to send information (such as, being included in for the specific pre-coding matrix in the above-mentioned code book of uplink signal transmission) and control uplink signal transmission.Otherwise, as the reverse process of precoding processing, processor 21 can receive information (such as by the down link signal that will be stored in memory 22, down link signal) be multiplied by the Hermitian matrix of same pre-coding matrix as the pre-coding matrix used in UE20, carry out control signal and receive process.

Meanwhile, below will describe the processor about UE20 (or BS10), and especially use SC-FDMA scheme to send the detailed description of the structure of signal.Below use description to send the processor of signal and the processor for sending signal based on the OFDM scheme in 3GPPLTE system based on the SC-FDMA scheme in 3GPPLTE system, and use description to below make UE use SC-FDMA scheme and MIMO scheme to send the processor of uplink signal.

Figure 11 and Figure 12 illustrates the SC-FDMA scheme for sending uplink signal in 3GPPLTE system and the OFDMA scheme for sending down link signal in 3GPPLTE system.

With reference to Figure 11, not only for sending the UE of uplink signal, and include for the base station (BS) sending down link signal: serial-parallel converter 401, subcarrier mapper 403, M point IDFT module 404, parallel-serial converter 405 etc.But the UE using SC-FDMA scheme to send signal comprises N point DFT module 402 further, and compensate the IDFT process impact of the predetermined portions of M point IDFT module 404, make to send signal and can have single carrier feature.

Figure 12 illustrates and is comprising the relation between the block diagram of the uplink signal process specified in the TS36.211 of 3GPPLTE system specifications and the processor using SC-FDMA scheme transmission signal.According to TS36.211, each UE uses specific scrambler sequence to carry out scrambler to transmission signal, and to send uplink signal, and signal after scrambler is modulated, makes to generate complex symbol.After this, conversion precoding complex symbol being carried out to DFT spread processing is performed.That is, the conversion precoder specified in TS36.211 can correspond to N point DFT module.After this, by resource element mapper, according to the mapping ruler based on Resource Block (RB), DFT spread-spectrum signal can be mapped to specific resources element, and can recognize, this operation corresponds to the subcarrier mapper shown in Figure 11.By SC-FDMA signal generator, M point IDFT or IFFT process are carried out to the signal mapping to resource element, parallel-serial converter is performed to IDFT or IFFT result, then Cyclic Prefix (CP) is added into P/S transformation result.

Meanwhile, Figure 12 further illustrates the processor of base station (BS), and this base station is for receiving by signal that above-mentioned process receives in a base station.

Like this, the processor for carrying out SC-FDMA transmission in 3GPPLTE system does not comprise the structure utilizing MIMO scheme.Thus, first will be described in the BS processor carrying out MIMO transmission in 3GPPLTE system, and then use above BS processor in conjunction with SC-FDMA scheme and MIMO scheme to send the processor of uplink signal by being described through.

Figure 13 illustrates to make base station (BS) in 3GPPLTE system, use MIMO scheme to send the block diagram of the processor of down link signal.

Base station (BS) in 3GPPLTE system can send one or more code word via down link.Thus this one or more code word in the mode identical with the uplink operation shown in Figure 12, can be treated to complex symbol by scrambler module 301 and modulation mapper 302.After this, complex symbol is mapped to multiple layer by layer mapper 303, and each layer is multiplied by the predetermined pre-coding matrix selected according to channel status, is then assigned to each transmitting antenna by precoding module 304.Transmission signal after the process of each antenna is mapped to the time-frequency resources element will sent in data by resource element mapper 305.After this, after passing through OFDMA signal generator 306, the result of mapping can send via each antenna.

But, if use the down link signal scheme shown in Figure 13 in 3GPPLTE system, then PAPR or CM characteristic degradation.Therefore, UE must be combined in SC-FDMA scheme and the MIMO scheme shown in Figure 13 of good PAPR and the CM performance of the maintenance described in Figure 11 and Figure 12 effectively, and must construct use the pre-coding matrix of good PAPR and the CM characteristic described in the embodiment above can be kept to perform the UE of precoding.

According to one embodiment of present invention, suppose that the UE sending uplink signal via multiple antenna (multiple antennas) comprises for sending the multiple antenna (not shown) with Received signal strength.Comprise with reference to Figure 10, UE20: for storing the memory 22 of code book and being connected to multiple antenna (not shown) and memory 22 to process the processor 21 of uplink signal transmission.In this case, the code book be stored in memory 22 comprises and is sent to the mode of each in multiple antenna with single layer signal and the pre-coding matrix set up.The processor 21 of the UE of above-mentioned configuration will be described in detail below.

Figure 14 illustrates processor according to an embodiment of the invention.

With reference to Figure 14, the processor of UE20 comprises according to an embodiment of the invention: code word to layer mapper 1401, for uplink signal being mapped to the layer of the predetermined quantity corresponding with specific order; The DFT module 1402 of predetermined quantity, for each execution discrete Fourier transform (DFT) (DFT) spread spectrum in the layer signal of predetermined quantity; And precoder 1043.Precoder 1043 is selected to be sent to the mode of each antenna 1405 and the specific pre-coding matrix set up, to carry out precoding to the layer signal that the DFT spread spectrum received from DFT module 1402 obtains with a layer signal.Especially, in this embodiment in accordance with the invention, each DFT module 1402 performs the spread spectrum of each layer signal, before this DFT module 1402 for carrying out spread spectrum to each layer signal is just in time positioned at precoder 1043.When precoder 1043 performs precoding, precoder 1403 is configured to make each layer signal be mapped to an antenna, then send via mapped antenna, to make the single carrier feature keeping each layer signal, and keep good PAPR and CM characteristic.Meanwhile, UE20 comprises sending module further.Sending module performs the process based on precoded signal structure SC-FDMA symbol, and via multiple antenna 1405, obtained precoded signal is sent to base station (BS).

Meanwhile, precoder 1403 is selected to be used for the pre-coding matrix of Signal transmissions from the code book be stored in memory 22, and performs precoding to selected pre-coding matrix.Preferably, these pre-coding matrixes can be the pre-coding matrixes being established for the transmitted power of balanced multiple antenna and/or the transmitted power of each layer.

The quantity of multiple antenna 1045 can be 2 or 4.The processor of UE can not only perform further for changing periodically or aperiodically the layer translation function mapping to the layer of certain code word according to an embodiment of the invention, and performs the antenna translation function being used for periodically or changing the antenna sending certain layer signal aperiodically.Layer translation function can be performed by layer mapper 1401 separately with the precoding of precoder 1403, or can also work as when precoder 1403 performs precoding and performed by the column permutation of pre-coding matrix.In addition, antenna translation function can also perform separately with the precoding of precoder 1403, or can also be performed by the line replacement of pre-coding matrix.

Exemplary embodiments described above is the combination of element of the present invention and feature.Unless otherwise mentioned, otherwise element or feature can be considered to optional.When not with other elements or Feature Combination, each element or feature can be realized.And embodiments of the invention can be constructed by built-up section element and/or feature.The operating sequence described in an embodiment of the present invention can rearrange.Some structures of any one embodiment or feature can comprise in another embodiment, and can replace by the corresponding construction of another embodiment or feature.Significantly, the present invention can be implemented as the combination of the claim in the following claims without specific reference relation, or the new claim revised after can comprising submission.

Embodiments of the invention can be realized by multiple device, such as, and hardware, firmware, software or its combination.In hardware configuration, embodiments of the invention can by realizations such as one or more application-specific integrated circuit (ASIC) (ASIC), digital signal processor (DSP), digital signal processing appts (DSPD), programmable logic device (PLD), field programmable gate array (FPGA), processor, controller, microcontroller, microprocessors.

In firmware or software merit rating, embodiments of the invention can by performing the realization such as module, process, function of above-mentioned functions or operation.Software code can be stored in a memory cell and be driven by processor.Memory cell can be positioned at inside or the outside of processor, and can send data to processor via multiple known devices and receive data from processor.

It is evident that for those skilled in the art, multiple amendment and change can be made in the present invention without departing from the spirit or scope of the present invention.Thus foregoing detailed description should be considered to only for illustration of object instead of restriction object.Scope of the present invention must be decided by the reasonable analysis of claim, and all comprises within the scope of the invention at all modifications of equivalent scope of the present invention.Apparently, the present invention can be implemented as the combination of the claim in the following claims without specific reference relation, or can comprise the new claim revised after application is submitted to.

Can obviously find out from the above description, the present invention can keep PAPR or CM characteristic while use MIMO scheme sends uplink signal.

In addition, the present invention as one man controls or regulates antenna/layer transmitted power, minimizes the signaling consumption needed for precoding matrix information, and obtains maximum diversity gain.

The present invention can be applicable to wideband wireless mobile communication system.

It will be obvious to those skilled in the art that and can make multiple amendment and change in the present invention without departing from the spirit or scope of the present invention.Therefore, this invention is intended to cover amendment of the present invention and change, as long as they fall in the scope of claims and equivalent thereof.

Claims (18)

1., for controlling the method for subscriber equipment (UE) via multiple antenna transmission uplink signal, described method comprises:

Described uplink signal is mapped to the layer of predetermined quantity;

Discrete Fourier transform (DFT) (DFT) spread spectrum is performed to each in the layer signal of predetermined quantity;

By using the specific pre-coding matrix selected among pre-stored code book to carry out precoding to each DFT spread spectrum layer signal, each pre-coding matrix wherein in described pre-stored code book is set up in the mode of the layer that each transmission in described multiple antenna is no more than in the layer of described predetermined quantity; And

By performing the predetermined process for constructing Single Carrier-Frequency Division multiple access access (SC-FDMA) symbol to the signal of precoding, via described multiple antenna, the signal of described precoding is sent to base station (BS).

2. method according to claim 1, wherein, described specific pre-coding matrix is the pre-coding matrix set up in the mode between described multiple antenna with homogeneous transmitted power.

3. method according to claim 1, wherein, described specific pre-coding matrix is the pre-coding matrix set up in the mode between the layer of described predetermined quantity with homogeneous transmitted power.

4. method according to claim 1, wherein, described code book comprise quantity when described multiple antenna for 4 and rank value is set to 2 time order 2 pre-coding matrix that utilizes, wherein, described order 2 pre-coding matrix comprises and being configured to $\left[\begin{array}{cc}1& 0\\ X& 0\\ 0& 1\\ 0& Y\end{array}\right]$ Form and satisfy condition into $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$ First kind pre-coding matrix, here, each row of described pre-coding matrix corresponds respectively to four antennas in described multiple antenna, and each row correspond respectively to layer.

5. method according to claim 4, wherein, described order 2 pre-coding matrix comprises further: be configured to $\left[\begin{array}{cc}1& 0\\ 0& 1\\ X& 0\\ 0& Y\end{array}\right]$ The Second Type pre-coding matrix of form, and be configured to $\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& Y\\ X& 0\end{array}\right]$ 3rd type pre-coding matrix of form, here, each in described Second Type pre-coding matrix and described 3rd type pre-coding matrix satisfies condition $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}.$

6. method according to claim 5, wherein, described order 2 pre-coding matrix comprises further: the pre-coding matrix generated when the position of each row of the described first to the 3rd type pre-coding matrix changes, the pre-coding matrix that generates when the position of each row of the described first to the 3rd type pre-coding matrix changes, and one or more in the pre-coding matrix generated when the position change of each row of the described first to the 3rd type pre-coding matrix and each row.

7. method according to claim 1, wherein, described code book comprise quantity when described multiple antenna for 4 and rank value is set to 3 time order 3 pre-coding matrix that utilizes, wherein, described order 3 pre-coding matrix comprises and being configured to $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ X& 0& 0\end{array}\right]$ Form and satisfying condition $X\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$ First kind pre-coding matrix, here, each row of described pre-coding matrix corresponds respectively to four antennas in described multiple antenna, and each row correspond respectively to layer.

8. method according to claim 7, wherein, described order 3 pre-coding matrix comprises further and being configured to $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& Y& 0\end{array}\right]$ The Second Type pre-coding matrix of form, and be configured to $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& Z\end{array}\right]$ 3rd type pre-coding matrix of form, here, each in described Second Type pre-coding matrix and the 3rd type pre-coding matrix all satisfies condition $Y,Z\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}.$

9. method according to claim 8, wherein, described order 3 pre-coding matrix comprises further: the pre-coding matrix generated when the position of each row of the described first to the 3rd type pre-coding matrix changes, the pre-coding matrix that generates when the position of each row of the described first to the 3rd type pre-coding matrix changes, and one or more in the pre-coding matrix generated when the position change of each row of the described first to the 3rd type pre-coding matrix and each row.

10. method according to claim 1, wherein, described code book comprises: when the quantity of described multiple antenna for 4 and rank value is set to 3 time order 3 pre-coding matrix that utilizes, described order 3 pre-coding matrix comprises and is configured to ground floor be mapped to the first antenna and the second antenna, alternatively, and the second layer and third layer are mapped to respectively the pre-coding matrix of third antenna and the 4th antenna.

11. methods according to claim 1, wherein, described code book comprises the pre-coding matrix of the varying number for each order.

12. methods according to claim 1 wherein, take code word as each described uplink signal of unit input, and

The step described uplink signal being mapped to the layer of predetermined quantity comprises: layer periodic variation certain code word be mapped to is another layer.

13. methods according to claim 12, wherein, the step described uplink signal being mapped to the layer of predetermined quantity comprises: the layer that certain code word is mapped to by every SC-FDMA symbol changes into another layer.

14. 1 kinds send the subscriber equipment (UE) of uplink signal via multiple antenna, comprising:

Multiple antenna, for sending and Received signal strength;

Memory, for storing code book, each pre-coding matrix wherein in described code book is set up in the mode of the layer that each transmission of described multiple antenna is no more than in the layer of described predetermined quantity; And

Processor, is connected to described multiple antenna and described memory, to process the transmission of uplink signal,

Wherein, described processor comprises:

Layer mapper, for mapping to the layer of the predetermined quantity corresponding with specific order by described uplink signal;

Discrete Fourier transform (DFT) (DFT) module, for performing DFT spread spectrum to each in the layer signal of predetermined quantity;

Precoder, for by selecting specific pre-coding matrix to carry out precoding to each DFT spread spectrum layer signal received from described DFT module from storing among code book in which memory; And

Sending module, for performing the predetermined process for constructing Single Carrier-Frequency Division multiple access (SC-FDMA) symbol to the signal of precoding, and is sent to base station (BS) via described multiple antenna by the signal after process.

15. subscriber equipmenies according to claim 14 (UE), wherein, store code book in which memory comprise quantity when described multiple antenna for 4 and order is set to 2 time order 2 pre-coding matrix that utilizes, wherein, described order 2 pre-coding matrix comprises and being configured to $\left[\begin{array}{cc}1& 0\\ X& 0\\ 0& 1\\ 0& Y\end{array}\right]$ Form and satisfying condition $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$ First kind pre-coding matrix, here, each row of described pre-coding matrix corresponds respectively to four antennas in described multiple antenna, and each row correspond respectively to layer.

16. subscriber equipmenies according to claim 15 (UE), wherein, described order 2 pre-coding matrix comprises further: be configured to $\left[\begin{array}{cc}1& 0\\ 0& 1\\ X& 0\\ 0& Y\end{array}\right]$ The Second Type pre-coding matrix of form, and be configured to $\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& Y\\ X& 0\end{array}\right]$ 3rd type pre-coding matrix of form, wherein, each in described Second Type pre-coding matrix and described 3rd type pre-coding matrix all satisfies condition $X,Y\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}.$

17. subscriber equipmenies according to claim 14 (UE), wherein, store code book in which memory comprise quantity when described multiple antenna for 4 and order is set to 3 time order 3 pre-coding matrix that utilizes, wherein, described order 3 pre-coding matrix comprises and being configured to $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ X& 0& 0\end{array}\right]$ Form and satisfying condition $X\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}$ First kind pre-coding matrix, here, each row of described pre-coding matrix corresponds respectively to four antennas in described multiple antenna, and each row correspond respectively to layer.

18. subscriber equipmenies according to claim 17 (UE), wherein, described order 3 pre-coding matrix comprises further: be configured to $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& Y& 0\end{array}\right]$ The Second Type pre-coding matrix of form, and be configured to $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& Z\end{array}\right]$ 3rd type pre-coding matrix of form, wherein, each in described Second Type pre-coding matrix and described 3rd type pre-coding matrix all satisfies condition $X,Z\&Element;\{1,\frac{1+j}{\sqrt{2}},j,\frac{1-j}{\sqrt{2}},-1,\frac{-1-j}{\sqrt{2}},-j,\frac{-1+j}{\sqrt{2}}\}.$