CN103944677A - Codebook design method for multi-antenna quantization precoding - Google Patents

Abstract

The invention discloses a codebook design method for multi-antenna quantization precoding. A codebook designed through the codebook design method is composed of a main codebook and an auxiliary codebook; the main codebook is a Kerdock codebook, and the auxiliary codebook is composed of a series of diagonal matrixes. According to the codebook design method based on the two codebooks, the defects of an existing Kerdock codebook design can be overcome, the capacity of the codebooks can be well extended, the codebook design method is particularly suitable for a large-scale antenna array system, effective multi-antenna precoding operation can be provided, and the requirement of a large-scale antenna array for precoding performance is met.

Description

A kind of many antennas quantize the code book method for designing of precoding

Technical field

The invention belongs to wireless communication technology field, more specifically say, relate to a kind of code book method for designing of many antenna quantification precodings.

Background technology

Multi-aerial space multiplexing has abundant researching value because of it compared with high spectrum efficiency.In order to improve system transmission performance by carrying out precoding at transmitting terminal, transmitting terminal need to be known channel condition information (CSI), and CSI is obtained to transmitting terminal feedback by receiving terminal conventionally.In the time of receiving terminal known channel state information (CSI), can utilize precoding technique implementation space multiplexing, at transmitting terminal, transmitting vector is multiplied by a pre-coding matrix that comprises channel condition information in advance.Under the hypothesis of the known complete channel state information of transmitting terminal, precoding can reach ideal performance.But in real system, transmitting terminal can not obtain complete channel state information.Therefore, the finiteness of CSI feedback channel has determined the necessity of the code book design for quantizing precoding.

Existing code book method for designing mainly comprises Household code book, Fourier transform code book, Kerdock code book etc.In the method for designing of these code books, Kerdock code book has the benefits such as easy structure, storage overhead is little, codebook matrix search complexity is low, has larger advantage for the precoding transmission of extensive antenna array.But the limitation of Kerdock code book is, its codebook size is limited, and this is the limitation that it applies under extensive antenna array.In order to ensure the performance of precoding, we need to be by increasing its codebook size someway.

Summary of the invention

The object of the invention is to overcome the deficiencies in the prior art, provide a kind of many antennas to quantize the code book method for designing of precoding, to expand well the size of code book, meet the precoding performance requirement under extensive antenna array.

For achieving the above object, the many antennas of the present invention quantize the code book method for designing of precoding, it is characterized in that, comprise the following steps:

(1), structure primary key originally

Comprise M based on Kerdock thought structure ₁the primary key of individual codebook matrix originally, is designated as set Φ ₁={ W ₁(i ₁) | i ₁=0,1 ..., M ₁-1}, codebook matrix W ₁(i ₁) size is N _t× L, N _tfor number of transmit antennas, and to require be 2 power, meets N _t=2 ^b, L is the number of multiplex antenna stream;

1.1), generator matrix D _n(n=0,1 ..., N _t-1), wherein, matrix D _nthat size is N _t× N _tdiagonal matrix, its diagonal element value can only be ± 1 and ± j;

1.2), generate N _t× N _tsylvester – Hadamard matrix be defined as follows:

Wherein, $H_2=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right];$

1.3), generate corresponding orthogonal matrix S _n(n=0,1 ..., N _t-1):

$S_n=\frac{1}{\sqrt{N_t}}{D}_n{H}_{N_t},n=\mathrm{0,1},...,N_t-1;$

1.4), utilize step 1.3) the orthogonal matrix S that generates _nconstruct structure primary key originally: for the multiplexing number of plies L of difference, by choosing arbitrarily matrix S _n(n=0,1 ..., N _t-1) L in is listed as to build M ₁individual codebook matrix W ₁(i ₁);

(2), structure auxiliary code originally

Structure comprises M ₂the auxiliary code of individual codebook matrix originally, is designated as set Φ ₂={ W ₂(i ₂) | i ₂=0,1 ..., M ₂-1}; W ₂(i ₂) be big or small N _t× N _tdiagonal matrix, each diagonal element w _kmeet | w _k|=1;

(3), (its size is N to final codebook matrix W (i) _t× L) construct by following formula:

W(i)=W ₂(i ₂)W ₁(i ₁)，i=M ₂i ₁+i ₂

The code book of codebook matrix W (i) Construction designing.

Goal of the invention of the present invention is achieved in that

Based on the deficiency of prior art existence, the present invention proposes a kind of code book method for designing of many antenna quantification precodings.The designed code book of the method is originally made up of primary key basis and auxiliary code, and this is Kerdock code book for primary key, and auxiliary code is originally made up of a series of diagonal matrix.This deficiency that can make up existing Kerdock code book design based on dicode code book method for designing originally, expand well the size of code book, be specially adapted to extensive antenna array system, effective many antennas pre-encode operation can be provided, meet the precoding performance requirement under extensive antenna array.

Brief description of the drawings

Fig. 1 is the code book method for designing flow chart that the many antennas of the present invention quantize precoding;

Fig. 2 is that the present invention is the embodiment flow chart of 32 o'clock at transmitting antenna.

Embodiment

Below in conjunction with accompanying drawing, the specific embodiment of the present invention is described, so that those skilled in the art understands the present invention better.Requiring particular attention is that, in the following description, in the time that perhaps the detailed description of known function and design can desalinate main contents of the present invention, these are described in here and will be left in the basket.

Fig. 1 is performing step flow chart of the present invention.As shown in Figure 1, the present invention includes and construct primary key basis, structure auxiliary code originally and three large steps of codebook matrix W (i).

In the present embodiment, as shown in Figure 2, taking transmitting antenna as N _t=32 extensive antenna array is set forth put forward code book method for designing for example, comprises the following steps:

1, structure primary key originally

Comprise M based on Kerdock thought structure ₁the primary key of individual codebook matrix originally, is designated as set Φ ₁={ W ₁(i ₁) | i ₁=0,1 ..., M ₁-1}, in the present embodiment, codebook matrix W ₁(i ₁) size is 32 × L, L equals the number of multiplex antenna stream.

1.1, generate the diagonal matrix D that size is 32 × 32 _n(n=0,1 ..., 31), concrete numerical value is as shown in table 1.

Table 1

In the present embodiment, table 1 has provided diagonal matrix D _n(n=0,1 ..., 31) and diagonal element example, wherein, each row in table 1 are each diagonal matrix D _nall diagonal entry values, diagonal element value be ± 1 and ± j.

1.2, generate N _t× N _ti.e. 32 × 32 Sylvester – Hadamard matrix H ₃₂, be defined as follows:

Wherein, $H_2=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right];$

1.3, generate corresponding orthogonal matrix S _n(n=0,1 ..., 31):

$S_n=\frac{1}{\sqrt{32}}{D}_n{H}_{32},n=\mathrm{0,1},...,31.$

(1-4) choose matrix S _n(n=0,1 ..., 31) in L be listed as to build codebook matrix W ₁(i ₁), i ₁=0,1 ..., M ₁-1.For the codebook matrix W under L=1～8 ₁(i ₁) construct as shown in table 2:

Table 2

In the present embodiment, codebook matrix W ₁(i1) construct as shown in table 2.By i ₁be decomposed into N _tk+n, then chooses corresponding n orthogonal matrix S _nbe listed as to build codebook matrix W since the continuous L of Lk row ₁(i ₁), wherein, k is 0,1,2 ... integer.As shown in table 2, due to number of transmit antennas N _tbe 32, build codebook matrix W ₁(i ₁) time, i1 is decomposed into 32k+n, then choose corresponding n orthogonal matrix S _nsince the continuous L row of Lk row, be designated as

2, structure comprises M ₂the auxiliary code of individual codebook matrix originally, is designated as set Φ ₂={ W ₂(i ₂) | i ₂=0,1 ..., M ₂-1}; W ₂(i ₂) be the diagonal matrix of size 32 × 32, be specifically constructed as follows:

Wherein, θ _l=[1 e ^{j2 π l/8}e ^{j4 π l/8}e ^{j6 π l/8}e ^{j8 π l/8}e ^{j10 π l/8}e ^{j12 π l/8}e ^{j14 π l/8}] ^t, l=0 ..., 7.

(3) final codebook matrix W (i) (size is 32 × L) constructs by following formula:

W(i)=W ₂(i ₂)W ₁(i ₁)，i=M ₂i ₁+i ₂

The code book of codebook matrix W (i) Construction designing.

Table 2

Table 2 is construction process of the present embodiment codebook matrix W (i).Can find out, the designed code book of the inventive method is originally made up of primary key basis and auxiliary code, and this is Kerdock code book for primary key, and auxiliary code is originally made up of a series of diagonal matrix, expands well the size of code book, has made up the deficiency of existing Kerdock code book design.

The present invention is specially adapted to extensive antenna array system, and effective many antennas pre-encode operation can be provided, and meets the precoding performance requirement under extensive antenna array.

Although above the illustrative embodiment of the present invention is described; so that those skilled in the art understand the present invention; but should be clear; the invention is not restricted to the scope of embodiment; to those skilled in the art; as long as various variations appended claim limit and definite the spirit and scope of the present invention in, these variations are apparent, all utilize innovation and creation that the present invention conceives all at the row of protection.

Claims (2)

1. antenna more than quantizes a code book method for designing for precoding, it is characterized in that, comprises the following steps:

(1), structure primary key originally

Comprise M based on Kerdock thought structure ₁the primary key of individual codebook matrix originally, is designated as set Φ ₁={ W ₁(i ₁) | i ₁=0,1 ..., M ₁-1}, codebook matrix W ₁(i ₁) size is N _t× L, N _tfor transmitting antenna, and to require be 2 power, and L is the number of multiplex antenna stream;

1.1), generator matrix D _n(n=0,1 ..., N _t-1), wherein, matrix D _nthat size is N _t× N _tdiagonal matrix, its diagonal element value can only be ± 1 and ± j;

1.2), generate N _t× N _tsylvester – Hadamard matrix be defined as follows:

Wherein, $H_2=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right];$

1.3), generate corresponding orthogonal matrix S _n(n=0,1 ..., N _t-1):

$S_n=\frac{1}{\sqrt{N_t}}{D}_n{H}_{N_t},n=\mathrm{0,1},...,N_t-1;$

1.4), utilize step 1.3) the orthogonal matrix S that generates _nconstruct structure primary key originally: for the multiplexing number of plies L of difference, by choosing arbitrarily matrix S _n(n=0,1 ..., N _t-1) L in is listed as to build M ₁individual codebook matrix W ₁(i ₁);

(2), structure auxiliary code originally

Structure comprises M ₂the auxiliary code of individual codebook matrix originally, is designated as set Φ ₂={ W ₂(i ₂) | i ₂=0,1 ..., M ₂-1}; W ₂(i ₂) be big or small N _t× N _tdiagonal matrix, each diagonal element w _kmeet | w _k|=1;

(3), (its size is N to final codebook matrix W (i) _t× L) construct by following formula:

W(i)=W ₂(i ₂)W ₁(i ₁)，i=M ₂i ₁+i ₂

The code book of codebook matrix W (i) Construction designing.

2. code book method for designing claimed in claim 1, is characterized in that, described for the multiplexing number of plies L of difference, by choosing arbitrarily matrix S _n(n=0,1 ..., N _t-1) L in is listed as to build M ₁individual codebook matrix W ₁(i ₁) be: by i ₁be decomposed into N _tk+n, then chooses corresponding n orthogonal matrix S _nbe listed as to build codebook matrix W since the continuous L of Lk row ₁(i ₁), wherein, k is 0,1,2 ... integer.