CN105847198B - The IQ imbalances of OFDM-WLAN radio frequency test systems estimate and compensation method - Google Patents

The IQ imbalances of OFDM-WLAN radio frequency test systems estimate and compensation method Download PDF

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CN105847198B
CN105847198B CN201610145766.8A CN201610145766A CN105847198B CN 105847198 B CN105847198 B CN 105847198B CN 201610145766 A CN201610145766 A CN 201610145766A CN 105847198 B CN105847198 B CN 105847198B
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imbalances
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CN105847198A (en
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裴文江
朱磊
王开
夏亦犁
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Southeast University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03178Arrangements involving sequence estimation techniques
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0212Channel estimation of impulse response
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/022Channel estimation of frequency response
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L2025/03592Adaptation methods
    • H04L2025/03598Algorithms
    • H04L2025/03611Iterative algorithms
    • H04L2025/03617Time recursive algorithms
    • H04L2025/03624Zero-forcing
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L2025/03592Adaptation methods
    • H04L2025/03598Algorithms
    • H04L2025/03611Iterative algorithms
    • H04L2025/03636Algorithms using least mean square [LMS]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
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Abstract

The invention discloses a kind of estimations of IQ imbalances and compensation method suitable for OFDM-WLAN radio frequency test systems, the smoothness properties for being first depending on channel impulse response obtain the rough estimate of IQ imbalance parameters using the long training sequence of WLAN signal, then according to minimum mean square error criterion, it is iterated operation using the pilot frequency information in symbol to obtain more accurate amplitude and phase error estimation and phase error, and carries out the joint equalization of IQ imbalance and channel to signal according to estimated result.The case where IQ imbalances proposed by the present invention estimation and compensation method are suitable for channel there are frequency selectivities, and it is compared to traditional LMS algorithm, only increase a small amount of operation and can be obtained the initial value for approaching steady state solution, greatly accelerate convergence speed of the algorithm, good estimation and compensation effect can also be obtained in the case where number of symbols is less, and there is very strong practicability.

Description

The IQ imbalances of OFDM-WLAN radio frequency test systems estimate and compensation method
Technical field
The present invention relates to the transmitter IQ imbalances in OFDM-WLAN RF consistency testing systems to estimate and compensation side Method belongs to signal processing, wireless communication field.
Background technology
IQ imbalances refer to transmitter and receiver in-phase branch and it is orthogonal between amplitude and phase mismatch.? Ideally, the gain on the roads I and the roads Q is equal, phase strict orthogonal, but actual circuit system is difficult to accomplish above-mentioned ideal Situation, the uneven filter between the nonideal Up/Down Conversion operation in transmitter and receiver end, the roads I and the roads Q can be in system Middle introducing IQ is uneven.
Transceiver mostly uses classical super-heterodyne architecture in traditional communication system, and this structure has good inhibition The performance of Image interference, but in the terminal, the factor of component size and cost is even more important, and Direct Conversion structure is exactly Based on above need for improved super-heterodyne architecture, zero intermediate frequency part is eliminated, radiofrequency signal is direct by quadrature frequency conversion It is converted to baseband signal.Compared to super-heterodyne architecture, Direct Conversion structure remove intermediate-frequency section and image-rejection filters from And the volume and power consumption of equipment are substantially reduced, while the structure use can single chip integrated low-pass filtering and baseband signal power amplifier It realizes, simplifies the design of terminal, and the structure has oneself of bigger in the transmitting and reception for realizing multiband, multi-standard By spending, the mainstream that these advantages make Direct Conversion transreceiver enjoy huge commercial value and designed as mobile terminal, As the good solution of OFDM terminals.But IQ imbalance problems present in super-heterodyne architecture are still present in zero In frequency structure, and super-heterodyne architecture is compared, the IQ imbalances of Direct Conversion structure are generally more serious and are difficult to eliminate.
In an ofdm system, the unbalanced presence of IQ can introduce Image interference to cause the bit error rate of system to rise.Newly Generation communication system tends to the modulation system using high-order for the handling capacity of lifting system, and the modulation methods of high-order make The Image interference that system introduces IQ imbalances is more sensitive, and the unbalanced disturbances of small IQ can so that system performance is serious Decline.So the estimation of IQ imbalances causes extensive discussion and research with compensation problem in academia.Existing algorithm is big absolutely What part was studied is the IQ imbalance problems of receiver end, rarely has grinding towards IQ imbalance problems caused by transmitter merely Study carefully, and the uneven performances that seriously restrict system of actually IQ caused by transmitter, it is the important finger of RF consistency test Mark.
Invention content
Goal of the invention:For problem not deep enough to transmitter IQ imbalances in existing research, the present invention proposes a kind of The unbalanced estimations of IQ and compensation method suitable for the transmitter of OFDM-WLAN radio frequency test systems.
Technical solution:A kind of estimation of IQ imbalances and compensation method suitable for OFDM-WLAN radio frequency test systems, including Following step:
(1) signal received to Vector Signal Analyzer carries out serioparallel exchange, and carry out FFT transform translate the signals into Frequency domain;
(2) training sequence for using signal carries out rough estimate to IQ imbalance parameters using the smoothness properties of channel, and disappears It is influenced except IQ is unbalanced in channel estimation to be equalized the initial value of sequence;
(3) operation is iterated to obtain more using least mean-square error (LMS) criterion to the pilot frequency information in symbol Accurate equalized sequence;
(4) it is uneven balanced with IQ to carry out united channel for sub-carrier and its image component.
Channel estimation results are expressed as in the step (2):
Wherein, diag { λ } is true channel impulse response, α=cos (Δ φ)+j εTSin (Δ φ), β=εT cos (Δ φ)+j sin (Δ φ), with amplitude and unbalance in phase parameter εTRelated to Δ φ, estimated value is respectively:
Wherein, LTS2=LTS#/ LTS, LTS are the frequency domain representation of training sequence, and subscript # indicates sequence of complex numbers conjugation FFT transform as a result, k be subcarrier index value,For channel estimation,Indicate the real part for the number of winning the confidence,Indicate the void for the number of winning the confidence Portion.
Preferably, eliminating the unbalanced influences of IQ in channel estimation in the step (2), the frequency domain response of channel indicates For:
In the step (2) after obtaining the rough estimate result of IQ imbalances parameter and channel, the first of equalized sequence is set Value is:
It is using the ART network iterative formula of LMS criterion for the pilot frequency information in symbol in the step (3):
WhereinZ (k) indicates k-th of subcarrier of transmitting sequence, s (k) k-th of subcarrier of reception sequence, w are indicatedkAnd wN-k+2For according to the newer equalized sequence of LMS criterion.
Specifically, the iterative process of equalizing coefficient is:
Wherein, k={ 2 ..., N/2 },WithThe equalized sequence and transmitting sequence at i moment are respectively represented,To use training sequenceK-th of pilot sub-carrier carry out ith iteration when error signal,To use training sequenceThe N-k+2 pilot sub-carrier carry out ith iteration When error signal, uLMSFor step-length used in iterative process.
Preferably, using Normalized LMS Algorithm, iteration step length is designed as:
Wherein μstepFor step size normalization, value range is 0 < μstep< 2, | | z (i) | |2To receive the energy of signal.
Channel and the unbalanced joint equalization methods of IQ are in the step (4):
Sub-carrier and its image component carry out joint consideration, channel are split as with the unbalanced joint equalizations of IQ multiple The solution of 2 × 2 decoupling equations, defines k={ 2 ..., N/2 }:
Being estimated as frequency domain data can be then obtained by the way of zero forcing equalization:
Wherein δ > 0 are normalization factors to fight ГkFor ill-condition matrix the case where, I be unit battle array.
Advantageous effect:A kind of IQ imbalances estimation suitable for OFDM-WLAN radio frequency test systems disclosed by the invention with Compensation method, the smoothness properties for being first depending on channel impulse response obtain IQ imbalances ginseng using the long training sequence of WLAN signal Several rough estimates is iterated operation to obtain more then according to minimum mean square error criterion using the pilot frequency information in symbol For accurate amplitude and phase error estimation and phase error, and carry out according to estimated result that IQ is uneven and the joint equalization of channel to signal. This method is suitable for channel the case where there are frequency selectivities, and is compared to traditional LMS algorithm, only increases a small amount of fortune Calculation can be obtained the initial value for approaching steady state solution, convergence speed of the algorithm greatly be accelerated, in the less situation of number of symbols Under can also obtain good estimation and compensation effect, have very strong practicability.
Description of the drawings
Fig. 1 is transmitter IQ unbalanced system model schematics of the present invention;
Fig. 2 is the equivalent block diagram of transmitter IQ unbalanced system models of the present invention;
Fig. 3 is that IQ imbalances of the present invention are estimated and balanced method flow diagram;
Fig. 4 is (a) (b) planisphere comparing result figure afterwards before the signal IQ imbalance compensations modulated using 16QAM;
Fig. 5 is (a) (b) planisphere comparing result figure afterwards before the signal IQ imbalance compensations modulated using 64QAM;
Fig. 6 is the BER performance verification result figures of the method for the present invention.
Specific implementation mode
Being applied to the estimation of IQ imbalances and balanced method in WLAN the invention discloses a kind of.In order to which carry out must The channel estimation wanted and tracking, WLAN standard IEEE 802.11a/g/n/ac provide long training sequence, and in symbol Middle insertion pilot frequency information, the present invention for above-mentioned known array provide a kind of channel and IQ imbalances Combined estimator with it is balanced Method.
Below by taking IEEE 802.11ac signals as an example, the method proposed in invention is carried out in conjunction with attached drawing further detailed It describes in detail bright.
Attached drawing 1 be there are transmitter system when amplitude and unbalance in phase, within the system IQ imbalances mainly by The clock of system causes, and in each frequency range of transmitting signal, its influence shows as constant, is referred to as the IQ unrelated with frequency It is uneven.It is assumed that transmitting terminal amplitude caused by clock and unbalance in phase parameter are respectively εTWith Δ φ, then ideal time domain Signal xL(t)=xI(t)+jxQ(t) after by frequency up-conversion operation, the radiofrequency signal of transmission is represented by:
xRF(t)=(1+ εT)cos(ω0T+ Δ φ) xI(t)-(1-εT)sin(ω0t-Δφ)xQ(t) (1)
Ideal receiver is by the radiofrequency signal and xLO(t)=exp (- j ω0T) it is mixed, then passes through low-pass filter The signal after high fdrequency component is filtered out to be represented by:
Wherein:
α=cos (Δ φ)+j εTSin (Δ φ), β=εT cos(Δφ)+jsin(Δφ) (2)
The equivalent block diagram of the unbalanced Model in Time Domain of transmitter IQ is as shown in Fig. 2, OFDM symbol s=[s (1) s (2) … s(N)]TBy IFFT operational transformations to time domain, and adds cyclic prefix to symbol head and formedIt is grasped by parallel-serial conversion Frequency up-conversion operation is carried out by antenna after work, by the unbalanced influences of transmitter IQ, the signal of actual transmission is represented by:The length of channel finite impulse response is less than the length of cyclic prefix, therefore before receiving terminal removal cycle After sewing, receives sequence and be represented by:
Wherein, HcFor the cyclic shift matrices of N × N sizes,For the white Gaussian noise of receiving terminal.Matrix HcCycle move Position characteristic so that the result of its Fourier transformation is diagonal matrix, is carried out at the same time Fourier transform operation to above formula both ends, and define Subscript # indicates the FFT transform of sequence of complex numbers conjugation as a result, its relationship between former sequence FFT transformation results is represented by:
The relationship that frequency domain receives between sequence z and former sequence s, which can be obtained, is:
Z=diag (λ) (α s+ β s#)+v (5)
Wherein, diag { λ } is true channel impulse response, and v is white Gaussian noise.
As shown in figure 3, a kind of IQ suitable for OFDM-WLAN radio frequency test systems disclosed by the embodiments of the present invention is uneven Estimation and compensation method, mainly include the following steps:
S1:The signal received to Vector Signal Analyzer carries out serioparallel exchange, and carry out FFT transform translate the signals into Frequency domain;
S2:IQ imbalance rough estimates:Using the training sequence of signal, using the smoothness properties of channel to IQ imbalance parameters Rough estimate is carried out, and eliminates the unbalanced influences of IQ in channel estimation to be equalized the initial value of sequence;
S3:The uneven thin estimations of IQ:Operation is iterated to obtain more using LMS criterion to the pilot frequency information in symbol Accurate equalized sequence, and iteration step length is normalized to ensure algorithmic statement;
S4:Joint equalization:It is uneven balanced with IQ that sub-carrier and its image component carry out united channel.
Combined estimator and compensation are carried out to channel and IQ imbalances using the structure in attached drawing 3, by subcarrier and its mirror image It matches, then sub-carrier index value k={ 2 ..., N/2 } can define following relationship:
zkksk+vk (6)
Wherein, vkFor the white Gaussian noise that channel introduces, remaining parameters is defined as follows:
The iterative formula that ART network is defined using LMS algorithm is:
Wherein wkAnd wN-k+2For according to the newer equalized sequence of LMS criterion, initialization sequence is obtained by following operation:
IEEE 802.11ac add VHT-LTF fields to carry out necessary frequency deviation and channel estimation in frame head, The VHT-LTF of 20MHz signals is defined as:
VHTLTF28,28={ 1,1, LTFleft,0,LTFright,-1,-1} (10)
Wherein,
LTFleft={ 1,1, -1, -1,1,1, -1,1, -1,1,1,1,1,1,1, -1, -1,1,1, -1,1, -1,1,1,1,1 }
LTFright=1, -1, -1,1,1, -1,1, -1,1, -1, -1, -1, -1, -1,1,1, -1, -1,1, -1,1, -1,1, 1,1,1}
The influence for ignoring noise carries out LS channel estimations, estimated result using the long training sequence field for receiving signal It is represented by:
Wherein, LTS2=LTS#/ LTS, wherein LTS are the frequency domain representation of training sequence.For subcarrier index value k, (k is The forward position of LTS2 transition), have:
For coherence bandwidth due to channel much larger than being spaced between subcarrier, the frequency domain response on adjacent sub-carrier can be close Like being equal, in addition according to LTS2Nαk+2=LTS2N-(k+1)+2Making difference to two formulas can obtain:
Amplitude in actual ofdm system and phase mismatch that value is smaller, therefore IQ imbalance parameter betas are estimated as:
Being estimated as parameter alpha can be obtained according to triangle inequality relationship:
To there are the unbalanced channel estimation results of IQ to compensate, can obtain:
Therefore after obtaining the rough estimate result of IQ imbalances parameter and channel, the initial value of equalized sequence could be provided as:
Then, it is iterated using the pilot signal in IEEE 802.11ac, IEEE 802.11ac 20MHz signals Pilot sub-carrier index value is KPilot={ ± 7, ± 21 }, the value in each pilot tone are:
pn{ -21, -7,7,21 }={ Ψnmod4(n+1)mod4(n+2)mod4(n+3)mod4} (18)
The linear displacement characteristic of pilot frequency information ensure that the validity of equalized sequence solution, introduce time index i in the sequence, It enablesWithRespectively represent the equalized sequence and transmitting sequence at i moment, then it is balanced for k={ 2 ..., N/2 } to be Several iterative process are:
WhereinTo use training sequenceK-th of pilot sub-carrier carry out ith iteration when Error signal,To use training sequenceThe N-k+2 pilot sub-carrier carry out Error signal when ith iteration, uLMSIt is defined as using Normalized LMS Algorithm for step-length used in iterative process:
Wherein μstepFor step size normalization, value range is 0 < μstep< 2, | | z (i) | |2To receive the energy of signal.It is logical Cross above-mentioned iterative estimate, you can obtain IQ imbalance parameters accurate estimation, and in turn obtain channel shock response to Carry out the frequency domain compensation of signal.Subcarrier and its image component are specially subjected to joint consideration, channel is unbalanced with IQ Joint equalization is split as the solution of multiple 2 × 2 decoupling equations, acquires frequency domain data according to the following formula by the way of zero forcing equalization Estimation, to be operated in the channel of the complete pair signals of frequency domain and the unbalanced joint equalizations of IQ.
There are the unbalanced systems of IQ to compensate with unbalance in phase factor pair for the amplitude estimated using this method, Its system performance is verified, chooses in IEEE 802.11ac agreements and is modulated with using 64QAM using the MCS4 data of 16QAM modulation MCS7 data tested, attached drawing 3 and attached drawing 4 are two groups of front and back planisphere comparative situations of sample datas compensation.It can be with , it is evident that being influenced by IQ imbalances, the point on planisphere is distributed in discrete shape around standard planisphere point, and high-order Modulation system is influenced bigger by IQ imbalances, and the data interlacing on various constellations point is together to cause to judge by accident.By mending Data after repaying inhibit image component, increase the accuracy of channel estimation and equalization, effectively improve the abnormal of planisphere Become so that the point of planisphere is collected near standard point, it is seen that the IQ imbalance frequency domain compensating methods proposed in text have non- Often good compensation effect.
Fig. 6 shows method proposed by the present invention to bit error rate performance, and the system through overcompensation effectively improves system Bit error rate performance, eliminate floor effect caused by IQ imbalances, and i.e. when being iterated trained using only 5 symbols It can get good performance.

Claims (5)

1. a kind of estimation of IQ imbalances and compensation method suitable for OFDM-WLAN radio frequency test systems, it is characterised in that:Including Following step:
(1) serioparallel exchange is carried out to the signal that Vector Signal Analyzer receives, and carries out FFT transform and translates the signals into frequency Domain;
(2) training sequence for using signal carries out rough estimate to IQ imbalance parameters using the smoothness properties of channel, and eliminates letter The unbalanced influences of IQ are to be equalized the initial value of sequence in road estimation;
(3) to be iterated operation using least mean-square error (LMS) criterion to the pilot frequency information in symbol updated to obtain Equalized sequence;Wherein, it is using the ART network iterative formula of LMS criterion for the pilot frequency information in symbol:
WhereinZ (k) indicates k-th of subcarrier of transmitting sequence, s (k) tables Show k-th of subcarrier for receiving sequence, wkAnd wN-k+2For according to the newer equalized sequence of LMS criterion;The iteration mistake of equalizing coefficient Cheng Wei:
Wherein, k={ 2 ..., N/2 },WithThe equalized sequence and transmitting sequence at i moment are respectively represented,To use training sequenceK-th of pilot sub-carrier carry out ith iteration when error signal,To use training sequenceThe N-k+2 pilot sub-carrier carry out ith iteration When error signal, uLMSFor step-length used in iterative process;
(4) it is uneven balanced with IQ to carry out united channel for sub-carrier and its image component;Specifically joint equalization method is:
Sub-carrier and its image component carry out joint consideration, and channel and the unbalanced joint equalizations of IQ are split as multiple 2 × 2 The solution for decoupling equation defines k={ 2 ..., N/2 }:
Being estimated as frequency domain data can be then obtained by the way of zero forcing equalization:
Wherein δ > 0 are normalization factors to fight ΓkFor ill-condition matrix the case where, I be unit battle array.
2. IQ imbalances estimation according to claim 1 and compensation method, it is characterised in that:Channel in the step (2) Estimated result is expressed as:
Wherein, diag { λ } is true channel impulse response, α=cos (Δ φ)+j εTSin (Δ φ), β=εTcos(Δφ)+ Jsin (Δ φ), with amplitude and unbalance in phase parameter εTRelated to Δ φ, estimated value is respectively:
Wherein, LTS2=LTS#/ LTS, LTS are the frequency domain representation of training sequence, and subscript # indicates the FFT transform of sequence of complex numbers conjugation As a result, k is subcarrier index value,For channel estimation,Indicate the real part for the number of winning the confidence,Indicate the imaginary part for the number of winning the confidence.
3. IQ imbalances estimation according to claim 2 and compensation method, it is characterised in that:It is eliminated in the step (2) The unbalanced influences of IQ in channel estimation, the frequency domain response of channel are expressed as:
4. IQ imbalances estimation according to claim 3 and compensation method, it is characterised in that:It is being obtained in the step (2) After taking IQ imbalances parameter and the rough estimate result of channel, the initial value that equalized sequence is arranged is:
5. IQ imbalances estimation according to claim 1 and compensation method, it is characterised in that:Using Normalized LMS Algorithm, Iteration step length is designed as:
Wherein μstepFor step size normalization, value range is 0 < μstep< 2, | | z (i) | |2To receive the energy of signal.
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