CN108616469B - Method and device for estimating and compensating IQ imbalance of receiving end of SC-FDE system - Google Patents
Method and device for estimating and compensating IQ imbalance of receiving end of SC-FDE system Download PDFInfo
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- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
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- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
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- H04L25/0228—Channel estimation using sounding signals with direct estimation from sounding signals
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- H—ELECTRICITY
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- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03891—Spatial equalizers
Abstract
The invention discloses a method and a device for estimating and compensating IQ imbalance of a receiving end of an SC-FDE system, wherein the method comprises the steps of carrying out stream analysis on modulated data at a transmitting end; the data block is added with CP and is received by a receiving end through wireless channel and noise interference; IQ imbalance is introduced into a received signal due to hardware damage at a radio frequency end. In the method, after a receiving end removes a CP (content provider) of data, the time domain data is FFT (fast Fourier transform) transformed to a frequency domain; estimating channel information by using pilot frequency data, and then obtaining an IQ imbalance parameter estimation value; then, the received signals are mirrored and combined, and frequency domain data of the original signals are estimated through LS; finally, the original data can be recovered after IFFT transformation and demodulation. The IQ imbalance parameter estimation and compensation method provided by the invention firstly utilizes pilot frequency data in a frequency domain, carries out separate estimation on IQ imbalance parameters and a channel, and then adopts a simple LS method to simultaneously compensate IQ imbalance and channel interference, and the method can be simultaneously suitable for SISO and MIMO systems.
Description
Technical Field
The invention relates to a receiving end IQ imbalance estimation and compensation method and device of an SC-FDE system, belonging to the technical field of wireless communication systems.
Background
Down-conversion is a basic stage in all rf front-end architectures, and compared to the conventional superheterodyne front-end architecture, a direct-conversion receiver provides a good implementation. However, such a low-cost front-end may be very sensitive to analog component defects, mainly due to radio frequency impairments caused by manufacturing non-uniformities, such as IQ-imbalance, carrier frequency offset, phase noise, etc. In which IQ imbalance is divided into Frequency Independent (FI) and Frequency Dependent (FD), FI imbalance is mainly caused by non-ideality of Local Oscillator (LO), which is kept constant within the signal bandwidth. Ideally, the LO should produce I and Q branches of the same gain and 90 ° phase offset, however, in practice this is almost impossible and therefore results in FI imbalance. In contrast, the FD model considers both FI imbalance and FD imbalance, which are caused by unbalanced frequency responses of the I and Q paths, which vary with bandwidth. In the present invention, we only consider FI imbalance. As next generation wireless systems will require simpler, flexible and configurable front-ends, implementing the front-ends using scaled-down manufacturing techniques will make the impact of these imbalances more severe. The resulting distortion may cause a drastic degradation in performance and limit the achievable data rate, so these impairments should be adequately compensated for.
The single carrier frequency domain equalization (SC-FDE) technique can effectively combat the multipath effect, and is to transmit a time-domain modulation signal in a data block manner, each data block occupies the entire transmission bandwidth, and a receiving end equalizes a received signal in the frequency domain. The SC-FDE technology has the advantages of low peak-to-average power ratio (PAPR), insensitivity to frequency offset, high spectrum utilization rate and the like. A multiple-input multiple-output (MIMO) system is configured with multiple antennas at both the transmitting end and the receiving end, and the multiple-antenna system can increase the system capacity by a multiple without increasing the channel bandwidth. The combination of MIMO and SC-FDE technology can effectively resist channel frequency selective interference and increase the throughput of the system.
Disclosure of Invention
The purpose of the invention is as follows: aiming at the situation that IQ imbalance exists at a receiving end of an SC-FDE system, the invention aims to provide an IQ imbalance estimation and compensation method and device based on pilot frequency data.
The technical scheme is as follows: in order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a receiving end IQ imbalance estimation and compensation method of an SC-FDE system comprises the following steps:
(1) the receiving end FFT transforms the time domain data after the cyclic prefix is removed to a frequency domain;
(2) superposing the frequency domain data of the pilot frequency data block and the mirror image, obtaining superposed data irrelevant to IQ imbalance by utilizing the relation between IQ imbalance parameters, and estimating channel information by adopting an LS method;
(3) substituting the obtained channel estimation and the mirror image thereof into the received frequency domain data, and estimating IQ imbalance parameters by using a pilot frequency data block;
(4) the method comprises the steps of mirroring frequency domain received data, merging the data, substituting IQ imbalance parameters and channel information, compensating the frequency domain data, and estimating the frequency domain data of a transmitted signal on a frequency domain through LS;
(5) and transforming the estimated value obtained on the frequency domain into a time domain by IFFT, and recovering the original sending data after demodulation.
The receiving end expresses frequency domain data Y (k, n) obtained after FFT of the received signal as:
where k denotes the kth data block, n denotes the nth data symbol of the frequency domain data block, Yj(k, n) is a value after FFT conversion of a received signal of a j-th antenna at a receiving end; si(k, n) are the values of the transmission signal of the ith antenna of the transmitting terminal after FFT; superscript # denotes mirror; w (k, n), U (k, n) are terms related to channel information and IQ imbalance parameters, and take values as:
wherein, αj=(1+jexp(jθj))/2,βj=(1-jexp(-jθj))/2,θjAndjis the phase and amplitude imbalance parameter at the jth receiving antenna; hji(k, n) is the channel frequency domain fading coefficient of the jth receiving antenna to the ith transmitting antenna;is the noise interference term, V, of the jth antenna at the receiving endjAnd (k, n) is the value of the J-th antenna of the receiving end after the FFT of the additive white Gaussian noise.
The channel information estimation method in the step (2) comprises the following steps:
mirroring the frequency domain data Y (k, n), and mirroring Y (k, n) and Y#(k, n) superposition using IQ imbalance parameter relationshipsObtaining values not related to IQ imbalance
Stacking the nth data symbol of the pilot frequency data block to obtain:
wherein K represents the number of pilot data blocks, and V is an interference term related to noise;
estimating H by adopting an LS method:
the IQ imbalance parameter estimation method in the step (3) comprises the following steps:
channel informationAnd mirror image thereofSubstituting the frequency domain data Y of the j antennaj(k,n):
Stacking all data symbols of K pilot data blocks received by the jth antenna in sequence, and changing the data symbols into a column vector form:
estimating parameters α using LS methodjAnd βj:
The frequency domain data compensation method in the step (4) comprises the following steps:
taking its mirror image Y for Y (k, n)#(k, n) are combined to give:
Wa(k)、Ua(k) is a term related to channel information and IQ imbalance, and takes the values as:
obtaining S by LS methodaEstimated value of (a):
a device for realizing the IQ imbalance estimation and compensation method of the receiving end of the SC-FDE system comprises the following steps:
the FFT conversion module is used for FFT converting the time domain data after the cyclic prefix is removed to a frequency domain;
the channel information estimation module is used for superposing the frequency domain data of the pilot frequency data block and the mirror image, obtaining superposed data irrelevant to IQ imbalance by utilizing the relation between IQ imbalance parameters, and estimating channel information by adopting an LS method;
an IQ imbalance estimation module for substituting the obtained channel estimation and its mirror image into the received frequency domain data, and estimating IQ imbalance parameters by using the pilot frequency data block;
the IQ imbalance compensation module is used for merging the mirror images of the frequency domain received data, substituting IQ imbalance parameters and channel information, compensating the frequency domain data, and estimating the frequency domain data of the transmitted signals on the frequency domain through LS;
an IFFT conversion module used for IFFT converting the frequency domain data obtained by the IQ imbalance compensation module to a time domain;
and the demapping module is used for demodulating the IQ imbalance compensated time domain data to obtain original sending data.
Has the advantages that: the IQ imbalance parameter estimation and compensation method for the receiving end based on the SC-FDE technology communication system provided by the invention separately estimates the IQ imbalance parameter and the channel information in the frequency domain by utilizing the relation between the pilot frequency data and the IQ imbalance parameter. Then, the mirror image of the frequency domain receiving signal is obtained, the estimated IQ imbalance parameter and the channel information are substituted, and the simple LS estimation is adopted, so that the IQ imbalance and the interference of the channel to the signal can be compensated simultaneously, and the method can be simultaneously suitable for SISO and MIMO systems.
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FIG. 1 is a schematic diagram of an IQ imbalance compensation method for an SC-FDE system according to an embodiment of the present invention.
FIG. 2 is a schematic diagram of IQ imbalance parameter estimation mean square error simulation according to an embodiment of the present invention
Fig. 3 is a schematic diagram illustrating a simulation of the data bit error rate after IQ imbalance compensation according to an embodiment of the present invention.
Detailed Description
The invention is further illustrated with reference to the following specific embodiments and the accompanying drawings.
As shown in FIG. 1, in the SC-FDE systemAfter the data is modulated at the transmitting end, the data is divided into stream numbers corresponding to the number of transmitting antennas through stream analysis. The CP is added on the data block, the data is sent out through the radio frequency end, the data sent on the ith antenna is si(k,t)。
Considering IQ imbalance parameters of a transmitting terminal, after wireless channel and additive noise interference, the signal of the jth receiving antenna is
Where k represents the kth data block and t represents the tth data symbol. h isjiRepresents the fading coefficient of the jth receiving antenna to the ith transmitting antenna, vjIs additive noise for the jth receive antenna,representing the convolution of the signal.
IQ imbalance is introduced into a received time domain signal due to hardware damage of a radio frequency front end, the received signal is added into a conjugate term of an original signal, and a received signal y of a j antennajShould be that
α thereinjAnd βjAre the IQ imbalance related terms on the jth antenna, and their value is αj=(1+jexp(jθj))/2,βj=(1-jexp(-jθj))/2,θjAndjis the phase and amplitude imbalance parameter at the jth receiving antenna.
In view of the above situation, an embodiment of the present invention discloses a receiving end IQ imbalance estimation and compensation method for an SC-FDE system, which mainly includes the following steps:
(1) and after receiving the data with IQ imbalance introduced, the receiving end removes the CP and transforms the time domain data to the frequency domain through FFT. Removing CP from the data block, and FFT converting the data Y (k, n) into frequency domain
The superscript # indicates the mirror image,is a data block of N data symbols, a mirror interference introduced by IQ imbalanceAnd SiThe relationship of (k, n) is
W (k, n), U (k, n) are terms related to channel information and IQ imbalance parameters, and take values as:
(2) the channel information is estimated using the pilot data block.
Mirroring the frequency domain data Y (k, n):
mixing Y (k, n) and Y#(k, n) superposition using IQ imbalance parameter relationshipsObtaining values not related to IQ imbalance
Stacking the nth data symbol of the pilot data block
K denotes the number of pilot data blocks and V is an interference term associated with noise. Estimating H by adopting an LS method:
(3) the obtained channel informationAnd mirror image thereofSubstituting the received frequency domain data to estimate the IQ imbalance parameters. The frequency domain signal on the jth receiving antenna is:
stacking N data symbols of K pilot data blocks received by a jth antenna in sequence to form a column vector:
wherein Comprising noise and channel estimation error, we estimate parameters using the LS method αjAnd βj:
(4) Substituting the channel information and the IQ imbalance parameters into frequency domain data to compensate the frequency domain data, and rewriting the frequency domain receiving data as follows:
taking its mirror image Y for Y (k, n)#(k, n) are combined to give:
Wa(k)、Ua(k) is a term related to channel information and IQ imbalance, and takes the values as:
s can be obtained by simple LS methodaEstimated value of (a):
(5) after the estimated value of the frequency domain data block is obtained, the original data can be recovered after IFFT transformation and demapping.
Another embodiment of the present invention discloses a receiving end IQ imbalance estimation and compensation apparatus for an SC-FDE system, comprising: the FFT conversion module is used for FFT converting the time domain data after the cyclic prefix is removed to a frequency domain; the channel information estimation module is used for superposing the frequency domain data of the pilot frequency data block and the mirror image, obtaining superposed data irrelevant to IQ imbalance by utilizing the relation between IQ imbalance parameters, and estimating channel information by adopting an LS method; an IQ imbalance estimation module for substituting the obtained channel estimation and its mirror image into the received frequency domain data, and estimating IQ imbalance parameters by using the pilot frequency data block; the IQ imbalance compensation module is used for merging the mirror images of the frequency domain received data, substituting IQ imbalance parameters and channel information, compensating the frequency domain data, and estimating the frequency domain data of the transmitted signals on the frequency domain through LS; an IFFT conversion module used for IFFT converting the frequency domain data obtained by the IQ imbalance compensation module to a time domain; and the demapping module is used for demodulating the IQ imbalance compensated time domain data to obtain original sending data. The FFT module, the IFFT module, the demapping module, and the like are all mature modules in the existing communication system, and are not described herein again. For details of the IQ mismatch parameter estimation and IQ mismatch compensation module, reference may be made to the above method embodiments, and further description is omitted here.
The IQ imbalance parameter estimation and compensation method is further explained below with reference to specific matlab simulation examples and effects. The method mainly comprises the following steps:
1) the system is provided with two transmitting antennas and two receiving antennas. The data of the transmitting terminal is modulated by adopting a 16QAM mode, and 100 data blocks containing 256 sampling points are generated. In order to ensure the accuracy of IQ imbalance parameter and channel information estimation, the number of pilot data blocks K is 8-12, and data is subjected to stream analysis and divided into two streams with equal data volume.
2) Each data block is added with a CP with the length of 64, the length of the time delay of the channel is less than the length of the CP, and the channel is kept stable in the interval of continuous data blocks, regardless of IQ imbalance parameters of a transmitting end. The signals are received on two antennas after the signals pass through a channel and are added with additive white Gaussian noise interference
IQ imbalance introduced by considering received time domain signals due to hardware damage of radio frequency front end
y1(k,t)=α1r1(k,t)+β1r1 *(k,t)
α thereinj=(1+jexp(jθj))/2,βj=(1-jexp(-jθj) 2) of the first receiving antenna is theta1=3°,11.2; the phase and amplitude imbalance parameters of the second receiving antenna are theta2=2°,2=1.3。
3) At the receiving end, the CP is removed from the data block, and the data after being transformed into the frequency domain through the FFT of 256 points is
Wherein (·)TDenoting transposition, W (k, n) and U (k, n) are parameters related to IQ imbalance parameters and channels:
mirroring Y (k, n):
mixing Y (k, n) and Y#(k, n) superposition using IQ imbalance parameter relationshipsObtaining values not related to IQ imbalance
WhereinH#(k, n) is a mirror image of H (k, n). Can utilizeTo estimate the channel, howeverGenerating only one equation to estimate H (k, n) and H#(k,n),Comprising two parameters, H (k, n) and H#(K, n) contains eight parameters, in order to ensure the accuracy of estimation, it needs to generate multiple identical equations to estimate the channel, so the value range of the number K of the pilot data blocks is 8-12, therefore we stack the nth data symbol of the pilot data block
Estimating H by adopting an LS method:
4) the obtained channel informationAnd mirror image thereofSubstituting the received frequency domain data to estimate the IQ imbalance parameters. The frequency domain signals on the 1 st receiving antenna are:
stacking N data symbols of K pilot data blocks in sequence to form a column vector:
wherein Comprising noise and channel estimation error, we estimate parameters using the LS method α1And β1:
The same method can also be applied to IQ imbalance parameter α of the 2 nd antenna2And β2Estimating, IQ imbalance parameter estimation mean square errorWhen the number of pilot data is 8, 10, and 12, respectively, the variation curve of the error of the IQ imbalance parameter estimation with the SNR is shown in fig. 2.
5) Substituting the channel information estimated from 10 pilot frequency data and IQ imbalance parameters into frequency domain data to compensate the frequency domain data, and rewriting the frequency domain received data as follows:
Wa(k)、Ua(k) the terms related to channel information and IQ imbalance are:
taking its mirror image Y for Y (k, n)#(k, n) are combined to give:
s can be obtained by simple LS methodaEstimated value of (a):
6) number estimatedAccording toTaking out the estimated value of the original dataAnd the original data can be recovered after IFFT transformation and demapping.
The estimated bit data is compared with the original data, the bit error rate under different signal to noise ratios is calculated, and the simulation result is shown in fig. 3. The method is compared with the situation that IQ imbalance does not exist at the receiving end and IQ imbalance is not compensated, so that the serious influence on the system performance caused by the IQ imbalance can be seen, and after the IQ imbalance is compensated by using the method, the bit error rate is close to the ideal situation.
To sum up, the method is suitable for the condition that the receiving and transmitting end of the wireless communication system has frequency uncorrelated IQ imbalance, uses the pilot frequency data block to separately estimate IQ imbalance parameters and channel information in the frequency domain, then substitutes the estimated information into the frequency domain data, and can simultaneously compensate the IQ imbalance parameters and channel interference by adopting a simple LS method, and the method has good adaptability to the MIMO system.
Claims (3)
1. A receiving end IQ imbalance estimation and compensation method of an SC-FDE system is characterized by comprising the following steps:
(1) the receiving end FFT transforms the time domain data after the cyclic prefix is removed to a frequency domain;
(2) superposing the frequency domain data of the pilot frequency data block and the mirror image, obtaining superposed data irrelevant to IQ imbalance by utilizing the relation between IQ imbalance parameters, and estimating channel information by adopting an LS method;
(3) substituting the estimated channel information and the mirror image thereof into the received frequency domain data of the pilot frequency data block, and estimating IQ imbalance parameters by using the pilot frequency data block;
(4) taking a mirror image of the frequency domain data, merging the mirror image, substituting IQ imbalance parameters and channel information, compensating the frequency domain data, and estimating the frequency domain data of a sending signal on a frequency domain through LS;
(5) IFFT converting the estimated value obtained from the frequency domain to a time domain, and recovering the original sending data after demodulation;
the receiving end expresses frequency domain data Y (k, n) obtained after FFT of the received signal as:
where k denotes the kth data block, n denotes the nth data symbol of the frequency domain data block, Yj(k, n) is a value after FFT conversion of a received signal of a j-th antenna at a receiving end; si(k, n) are the values of the transmission signal of the ith antenna of the transmitting terminal after FFT; superscript # denotes mirror; w (k, n), U (k, n) are terms related to channel information and IQ imbalance parameters, and take values as:
wherein, αj=(1+jexp(jθj))/2,βj=(1-jexp(-jθj))/2,θjAndjis the phase and amplitude imbalance parameter at the jth receiving antenna; hji(k, n) is the channel frequency domain fading coefficient of the jth receiving antenna to the ith transmitting antenna;is the noise interference term, V, of the jth antenna at the receiving endj(k, n) is the value of the receiver after the FFT of the additive white Gaussian noise of the j antenna;
the channel information estimation method in the step (2) comprises the following steps:
mirroring the frequency domain data Y (k, n), and mirroring Y (k, n) and Y#(k, n) superposition using IQ imbalance parameter relationshipsObtaining values not related to IQ imbalance
Stacking the nth data symbol of the pilot frequency data block to obtain:
wherein K represents the number of pilot data blocks, and V is an interference term related to noise;
estimating H by adopting an LS method:
the IQ imbalance parameter estimation method in the step (3) comprises the following steps:
channel informationAnd mirror image thereofSubstituting the frequency domain data Y of the j antennaj(k,n):
Stacking all data symbols of K pilot data blocks received by the jth antenna in sequence, and changing the data symbols into a column vector form:
estimating parameters α using LS methodjAnd βj:
2. The IQ imbalance estimation and compensation method for a receiving end of an SC-FDE system according to claim 1, wherein the frequency domain data compensation method in step (4) is as follows:
taking its mirror image Y for Y (k, n)#(k, n) are combined to give:
Wa(k,n)、Ua(k, n) is a term related to channel information and IQ imbalance, and takes values as:
obtaining S by LS methodaEstimated value of (a):
3. an apparatus for implementing the receiving IQ imbalance estimation and compensation method for SC-FDE system according to any one of claims 1-2, comprising:
the FFT conversion module is used for FFT converting the time domain data after the cyclic prefix is removed to a frequency domain;
the channel information estimation module is used for superposing the frequency domain data of the pilot frequency data block and the mirror image, obtaining superposed data irrelevant to IQ imbalance by utilizing the relation between IQ imbalance parameters, and estimating channel information by adopting an LS method;
an IQ imbalance estimation module for substituting the obtained channel estimation and its mirror image into the received frequency domain data, and estimating IQ imbalance parameters by using the pilot frequency data block;
the IQ imbalance compensation module is used for merging the mirror images of the frequency domain received data, substituting IQ imbalance parameters and channel information, compensating the frequency domain data, and estimating the frequency domain data of the transmitted signals on the frequency domain through LS;
an IFFT conversion module used for IFFT converting the frequency domain data obtained by the IQ imbalance compensation module to a time domain;
and the demapping module is used for demodulating the IQ imbalance compensated time domain data to obtain original sending data.
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