CN113472712B - Phase noise suppression method - Google Patents

Phase noise suppression method Download PDF

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CN113472712B
CN113472712B CN202110741216.3A CN202110741216A CN113472712B CN 113472712 B CN113472712 B CN 113472712B CN 202110741216 A CN202110741216 A CN 202110741216A CN 113472712 B CN113472712 B CN 113472712B
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phase noise
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CN113472712A (en
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虞凯
杨捷
韦道准
龙旭
谢联莲
杨岗
易立富
高柏松
乔飞
类先富
沈健
王梓丞
张杰亮
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China Railway Eryuan Engineering Group Co Ltd CREEC
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Abstract

The invention discloses a phase noise suppression method, which comprises the following steps: s1, acquiring a received signal from a communication system, and recovering a data symbol from the received signal; s2, calculating pilot part phase noise information of reserved amplitude according to the recovered data symbols and pilot symbols inserted by a transmitting end of the communication system; s3, performing linear interpolation based on phase noise information of the pilot part with reserved amplitude to obtain phase noise information with the length of M; and S4, accumulating and filtering the phase noise information with the length of M, normalizing the filtered phase noise information to obtain a phase angle, and compensating the phase noise. With the adoption of the method, the performance improvement of the method is more obvious under the AWGN channel and the Rayleigh channel than the existing linear interpolation algorithm along with the increase of the pilot quantity, and the method has better phase noise estimation compensation performance.

Description

Phase noise suppression method
Technical Field
The invention relates to the technical field of phase noise processing of an OFDM system, in particular to a phase noise suppression method.
Background
Phase noise is essentially phase error noise in the received signal compared to the transmitted signal, which can cause random phase variations in the received signal of the DFT-S-OFDM system, resulting in reduced system performance. The impact of phase noise on the system can be generally divided into two parts: a first part, a common phase error (Common Phase Error, CPE), which part is embodied in a common phase rotation of constellation points in the constellation; and a second part, inter-Carrier-Interference (ICI), which is embodied in the constellation diagram, where constellation points diverge around. In general, CPE in phase noise is relatively easy to estimate and compensate because it is a common error part for each symbol; however, the second ICI portion of the phase noise is correlated with the transmitted symbols and is more random per data symbol, making phase noise estimation and compensation of that portion difficult. Since OFDM systems are widely used in practice, a great deal of literature has been studied on phase noise estimation and compensation techniques of OFDM systems, and the main algorithms can be roughly divided into three categories: first, only estimating and compensating CPE part in phase noise; a second class, ICI compensation algorithms that additionally take into account ICI components in phase noise; and the third class, iterative algorithm combining channel estimation and phase noise estimation compensation.
In the OFDM system, most of the literature adopts phase noise compensation based on a frequency domain, and a scholars propose phase noise compensation based on a time domain of the OFDM system, wherein a high-order FIR filter designed by utilizing a Remez algorithm is used for correcting estimated phase noise. The complexity of the adopted high-order FIR filter is higher, the latter adopts the accumulating and filtering with lower complexity to replace, and better phase noise compensation performance is obtained. Then, a learner expands an algorithm for correcting estimated phase noise by using an accumulation and filter as a low-pass filter to a DFT-S-OFDM system, obtains a better phase noise compensation effect, and analyzes two different pilot frequency insertion modes in the DFT-S-OFDM system: pilot frequency is inserted into data before pilot frequency and DFT module are inserted from frequency domain, so that the pilot frequency is inserted from frequency domain, and the phase noise compensation algorithm which has been proved by a great deal of researches and demonstration of predecessors in OFDM system can be utilized, but the pilot frequency insertion mode can improve peak-to-average power ratio of DFT-S-OFDM system; the pilot frequency is inserted before the DFT module, the receiving end carries out estimation compensation on the phase noise after demodulation of the IDFT module, and the pilot frequency insertion mode does not increase the peak-to-average ratio of the DFT-S-OFDM system. The method has the advantages that the Kalman filtering is applied to eliminate the phase noise problem in the communication system, and the Kalman filtering algorithm is applied to the DFT-S-OFDM system, so that a good phase noise estimation compensation effect is obtained.
In the existing phase noise estimation compensation algorithm, an iterative algorithm combining channel estimation and phase noise estimation compensation can better estimate and compensate the phase noise of a system, but in an actual communication system, the ICI part in the phase noise is not serious enough to be completely eliminated, so that the algorithm is less applied in the actual system due to higher complexity.
The nonlinear distortion of the radio frequency can bring phase noise interference to the OFDM system, so that the frequency spectrum of the signal output by the oscillator is expanded, and serious influence is brought to the system performance. With the rapid development of communication technology, the performance index requirements of the system for suppressing the phase noise in the system are more and more strict, so that the research of the phase noise related estimation compensation algorithm is more and more urgent. In the prior art, the invention patent publication No. (CN 201910059644.0) of a novel time domain volume Kalman phase noise compensation scheme in a coherent optical OFDM system discloses a phase noise compensation scheme of a CO-OFDM system, and particularly relates to a novel time domain volume Kalman phase noise compensation algorithm scheme. In the scheme, pilot frequency information is utilized to compensate CPE phase noise through an extended Kalman and linear interpolation algorithm, pre-judgment is carried out on a signal subjected to first-order compensation of the phase noise, and secondary symbol processing is carried out on the signal subjected to pre-judgment in a time domain. And combining the time domain signal processed by the secondary symbol, and carrying out a volume Kalman phase noise compensation algorithm on the judged data in the time domain to realize fine compensation of ICI phase noise. And carrying out iterative operation on the data after fine compensation, thereby improving the compensation effect.
However, the algorithm for ICI compensation with an accumulation and filter, where the input of the accumulation and filter is only the phase noise estimate information at the pilot, does not provide good source information for the input of the accumulation and filter.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provides a phase noise suppression method.
In order to achieve the above object, the present invention provides the following technical solutions:
a phase noise suppression method comprising the steps of:
s1, acquiring a received signal from a communication system, and recovering a data symbol from the received signal;
s2, calculating pilot part phase noise information of reserved amplitude according to the recovered data symbols and pilot symbols inserted by a transmitting end of the communication system;
s3, performing linear interpolation based on the phase noise information of the pilot part with the reserved amplitude to obtain phase noise information with the length of M;
and S4, accumulating and filtering the phase noise information with the length of M, normalizing the filtered phase noise information to obtain a phase angle, and compensating the phase noise.
As a preferred embodiment of the present invention, in step S1, the data symbol is represented as:
Figure BDA0003141446620000049
wherein ,
Figure BDA0003141446620000041
for the phase noise influence of the data symbols after the receiving end passes through the IDFT module, +.>
Figure BDA00031414466200000410
Is a gaussian noise vector of m×1, s= [ d (1), d (2),. The term, d (M)] T D (M) is a constellation symbol, m=1, 2.
As a preferred embodiment of the present invention, in step S2, a calculation formula for calculating the phase noise information of the pilot portion of the reserved amplitude is as follows:
Figure BDA0003141446620000042
wherein ,
Figure BDA0003141446620000043
is the phase noise information of pilot part of the reserved amplitude epsilon p(k) Index position indicating kth pilot, N p For inserting the number of pilot of the data part, < >>
Figure BDA0003141446620000044
Is the recovered data symbol, s= [ d (1), d (2),. The term, d (M)] T D (M) is a constellation symbol, m=1, 2,..m, [ ·] * Representing conjugation.
As a preferred embodiment of the present invention, in step S3, the calculation formula of the phase noise information with length M is:
Figure BDA0003141446620000045
wherein ,
Figure BDA0003141446620000046
is the first phase noise information of the pilot part of the reserved amplitude,/and>
Figure BDA0003141446620000047
is the +.about.th of the pilot part of the reserved amplitude>
Figure BDA0003141446620000048
Information of phase noise N p K=1, 2, N for the number of pilot inserted into the data portion p I is index position information, ε p(k) Index position indicating kth pilot,/-, etc.>
Figure BDA0003141446620000051
Is the pilot part phase noise information that preserves the amplitude.
As a preferred embodiment of the present invention, in step S4, the phase angle is an estimated phase noise phase angle
Figure BDA0003141446620000052
Estimated phase noise phase angle>
Figure BDA0003141446620000053
Represented as
Figure BDA0003141446620000054
Where, g is phase noise information, b is a vector of all 1, and arg { } is a principal value of argument of complex number.
Based on the same conception, the invention also provides a phase noise suppression device which comprises at least one processor and a memory which is in communication connection with the at least one processor; the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any one of the above.
Compared with the prior art, the invention has the beneficial effects that:
with the adoption of the method, the performance improvement of the method is more obvious under the AWGN channel and the Rayleigh channel than the existing linear interpolation algorithm along with the increase of the pilot quantity, and the method has better phase noise estimation compensation performance. And the ZC sequence, the Golay sequence and the 4-QAM sequence can exert better phase noise estimation compensation performance.
Description of the drawings:
FIG. 1 is a transmission model of a DFT-S-OFDM system with phase noise added in embodiment 1 of the present invention;
fig. 2 is a flowchart of a phase noise suppression method in embodiment 1 of the present invention;
FIG. 3 shows the compensation effect (AWGN channel) of the method of the present invention at different pilot numbers in example 1 of the present invention;
fig. 4 shows the compensation effect (rayleigh channel) of the method of the present invention at different pilot numbers in example 1 of the present invention;
FIG. 5 shows the compensation effect (AWGN channel) of the different pilot sequences according to the method of the invention in example 1;
fig. 6 shows the compensation effect (rayleigh channel) of the different pilot sequences according to the method of the present invention in example 1 of the present invention.
Detailed Description
The present invention will be described in further detail with reference to test examples and specific embodiments. It should not be construed that the scope of the above subject matter of the present invention is limited to the following embodiments, and all techniques realized based on the present invention are within the scope of the present invention.
Example 1:
the algorithm is directed to a DFT-S-OFDM (Discrete Fourier Transform-spread-Orthogonal Frequency Division Multiplexing) system. The DFT-S-OFDM system model in consideration of phase noise is shown in fig. 1, and the effect of phase noise on the transmitting system may be equivalent to that applied to a signal after radio frequency transmission, and the effect of phase noise on the receiving system may be equivalent to that applied to a received signal.
Matrix phi of phase angle of phase noise of transmitting end Tx And a receiving end phase noise phase angle matrix phi Rx Respectively defined as
φ Tx =diag(φ Tx (1),φ Tx (2),...,φ Tx (N)) (1)
φ Rx =diag(φ Rx (1),φ Rx (2),...,φ Rx (N)) (2)
Under the above background, a phase noise suppression method, a flowchart of which is shown in fig. 2, includes the following steps:
s1, acquiring a received signal from a communication system, and recovering a data symbol from the received signal;
s2, calculating pilot part phase noise information of reserved amplitude according to the recovered data symbols and pilot symbols inserted by a transmitting end of the communication system;
s3, performing linear interpolation based on the phase noise information of the pilot part with the reserved amplitude to obtain phase noise information with the length of M;
and S4, accumulating and filtering the phase noise information with the length of M, normalizing the filtered phase noise information to obtain a phase angle, and compensating the phase noise.
The method comprises the steps of S1, acquiring a received signal from a communication system, and recovering a data symbol from the received signal, wherein the method comprises the following steps:
let the information bit stream of the user be a bit vector c= [ c ] of length M x k 1 ,c 2 ,...,cM k ] T . Every k consecutive information bits { c (m-1)+1 ,c (m-1)+2 ,...,c (m-1)+k Modulated into one constellation symbol d (M), (m=1, 2,., M). Thus, the user's transmitted symbol can be written as s= [ d (1), d (2),] T, wherein [·]T Representing the transpose operation. Next, M-point DFT is performed on D to obtain s= [ S (0), S (1),] T i.e.
S=F M s (3)
in the formulaFM The p-th row and q-th column elements of (a)
Figure BDA0003141446620000081
Representing an mxm DFT matrix. Similarly, an M-point IDFT matrix can be defined as F M H, wherein [·]H Representing the conjugate transpose operation.
The frequency domain symbol of the user is mapped to M corresponding sub-carriers by P, and then is transformed to the time domain by N-point IFFT to obtain the time domain transmitting symbol of the user as
Figure BDA0003141446620000082
And adding CP to x, and forming a time domain transmission signal of the user after parallel-serial conversion and D/A conversion.
Defining the time domain channel matrix from the user to the transmitting end as C. C is an nxn cyclic matrix, the first column of which is the user-to-sender channel impulse response sequence. After receiving the user signal, the receiving end obtains a time domain receiving signal y through A/D conversion, serial-parallel conversion and CP removal, which can be expressed as
Figure BDA0003141446620000083
Where z represents an n×1 time domain gaussian white noise vector, n×m matrix P represents a subcarrier mapping matrix of the user, and F represents FFT transformation.
Frequency domain symbol of user after frequency domain equalization Q process
Figure BDA0003141446620000084
Can be expressed as
Figure BDA0003141446620000085
Since the phase noise has steep low-pass characteristics and has a smaller spectrum bandwidth relative to the correlation bandwidth of the channel, the main energy in the phase noise power spectrum density is concentrated in the range of the coherence bandwidth of the channel, and the equation (6) can be simplified into
Figure BDA0003141446620000091
wherein ,
Figure BDA0003141446620000092
e is the phase noise after combination, defined as
Figure BDA0003141446620000093
Wherein phi (n) =phi Tx (n)+φ Rx (n),n=1,2,...,N。
The frequency domain total phase noise matrix Φ can be expressed as
Figure BDA0003141446620000094
Substituted into (7) with
Figure BDA0003141446620000095
Thus, the recovered user sends the symbol as
Figure BDA0003141446620000096
in the formula
Figure BDA0003141446620000097
Is an mx1 gaussian noise vector.
From the foregoing, it can be seen that Φ is a cyclic matrix, the main diagonal elements of which are the same, and Φ is Φ=Φ 0 I N ++ (phi-phi) 0 I N ) Form of phi 0 Is the main diagonal element of the frequency domain total phase noise matrix phi, and the equation (10) can be expressed as
Figure BDA0003141446620000101
As can be derived from equation (11), the effect of phase noise on DFT-S-OFDM system is mainly manifested in two parts: a part is the common phase rotation brought by the CPE component of the phase noise to the system, i.e. the first term in equation (11); the other part is that phase noise causes interference of adjacent subcarriers of a symbol of the DFT-S-OFDM system, namely, the second term in the equation (11), and the part is ICI part of the phase noise.
Definition of the definition
Figure BDA0003141446620000102
A frequency response matrix affected by the time domain phase noise on the sub-carrier corresponding to the user, i.e
Figure BDA0003141446620000103
Formula (10) can be simplified as +.>
Figure BDA0003141446620000104
wherein ,
Figure BDA0003141446620000105
for the influence of phase noise on the data symbols after the receiving end passes through the IDFT module, i.e.
Figure BDA0003141446620000106
Since the DFT-S-OFDM system generally employs a centralized subcarrier mapping, it is possible to obtain a result that the phase noise interference suffered by the data symbol is equivalent to the time domain phase noise interference passing through the low-pass filter.
In reality, the DFT-S-OFDM system is mostly applied to the uplink, and if only the phase noise influence of the transmitting end is considered, the system will
Figure BDA0003141446620000107
And->
Figure BDA0003141446620000108
Are all gaussian noise distributed identically to z. The data symbols received by the receiver can therefore be expressed as the following relationship:
Figure BDA0003141446620000111
s2, calculating pilot part phase noise information of reserved amplitude according to the recovered data symbol and a pilot symbol inserted by a transmitting end of a communication system, wherein the method comprises the following steps:
in the DFT-S-OFDM system, the pilot is selected to be uniformly inserted into the DFT-input end, and is subjected to DFT conversion together with a transmitted data symbol, then is subjected to subcarrier mapping and then is subjected to IDFT conversion to be converted into a time domain to become a transmitted signal. Let the number of inserted pilot be N p ,ε p(k) The index position of the kth pilot is represented, and the calculation formula for calculating the phase noise information of the pilot part of the reserved amplitude is as follows:
Figure BDA0003141446620000112
wherein ,
Figure BDA0003141446620000113
is the phase noise information of pilot part of the reserved amplitude epsilon p(k) Index position indicating kth pilot, N p For inserting the number of pilot of the data part, < >>
Figure BDA0003141446620000114
Is the recovered data symbol, s= [ d (1), d (2),. The term, d (M)] T D (M) is a constellation symbol, m=1, 2,..m, [ ·] * Representing conjugation.
Conventional phase noise compensation CPE algorithms and belief interpolation algorithms require only phase noise phase angle information, which requires preserving amplitude information obtained from the received signal, because the algorithm can better estimate the reliability of phase noise per pilot symbol and automatically weight the higher reliability pilot symbols during filtering with a low pass filter.
S3, performing linear interpolation based on the phase noise information of the pilot part with the reserved amplitude to obtain phase noise information with the length of M, wherein the method comprises the following steps:
based on
Figure BDA0003141446620000121
Performing linear interpolation to obtain phase noise information g, # with length M>
Figure BDA0003141446620000122
wherein ,
Figure BDA0003141446620000123
is the first phase noise information of the pilot part of the reserved amplitude,/and>
Figure BDA0003141446620000124
is the +.about.th of the pilot part of the reserved amplitude>
Figure BDA0003141446620000125
Information of phase noise N p K=1, 2, N for the number of pilot inserted into the data portion p I is index position information, ε p(k) Index position indicating kth pilot,/-, etc.>
Figure BDA0003141446620000126
Is the pilot part phase noise information that preserves the amplitude.
And S4, accumulating and filtering the phase noise information with the length of M, normalizing the filtered phase noise information to obtain a phase angle, and compensating the phase noise.
The phase noise information g is subjected to an accumulation and filter to finish the operation of a low-pass filter, and the filtered phase noise information is normalized to obtain a phase angle, and the extracted phase information is the estimated phase noise phase angle
Figure BDA0003141446620000127
Assuming that the impulse response of the accumulation filter is b, i.e. b is a vector of all 1's, whose length is the window length of the accumulation filter, the estimated phase noise phase angle +.>
Figure BDA0003141446620000128
Can be expressed as
Figure BDA0003141446620000129
Where, represents a convolution operation.
Finally, using the estimated phase angle
Figure BDA0003141446620000131
The receiving end receives the symbol after phase noise compensation>
Figure BDA0003141446620000132
Can be expressed as
Figure BDA0003141446620000133
The compensation effect (AWGN channel) of the method of the present invention at different pilot numbers is shown in fig. 3; the compensation effect (rayleigh channel) of the method of the present invention at different pilot numbers is shown in fig. 4. On both channels, the bit error rate of the new algorithm is significantly reduced compared to the conventional linear interpolation algorithm for the same number of pilot. With the increase of the pilot quantity, the performance of the method is improved obviously under the AWGN channel and the Rayleigh channel compared with the linear interpolation algorithm. Therefore, the method of the invention has better phase noise estimation compensation performance.
The compensation effect (AWGN channel) of different pilot sequences based on the method of the present invention is shown in fig. 5; the compensation effect (Rayleigh channel) of different pilot sequences based on the method of the invention is shown in fig. 6, and in general, the ZC sequence, the Golay sequence and the 4-QAM sequence can exert better phase noise estimation compensation performance by adopting the method of the invention.
The execution sequence of the steps is one embodiment of the method of the present invention, and is not limited to being executed only in the sequence, but based on the method idea of the present invention, the execution sequence is changed and is within the protection scope of the present invention.

Claims (4)

1. A phase noise suppression method, comprising the steps of:
s1, acquiring a received signal from a communication system, and recovering a data symbol from the received signal;
s2, calculating pilot part phase noise information of reserved amplitude according to the recovered data symbols and pilot symbols inserted by a transmitting end of the communication system;
s3, performing linear interpolation based on the phase noise information of the pilot part with the reserved amplitude to obtain phase noise information with the length of M;
s4, accumulating and filtering the phase noise information with the length of M, normalizing the filtered phase noise information to obtain a phase angle, and compensating the phase noise;
in step S2, the calculation formula for calculating the phase noise information of the pilot part of the reserved amplitude is as follows:
Figure FDA0004153249870000011
wherein ,
Figure FDA0004153249870000012
is the phase noise information of pilot part of the reserved amplitude epsilon p(k) Index position indicating kth pilot, N p For inserting the number of pilot of the data part, < >>
Figure FDA0004153249870000013
Is the recovered data symbol, s= [ d (1), d (2),. The term, d (M)] T D (M) is a constellation symbol, m=1, 2,..m, [ ·] * Represents conjugation;
in step S3, the calculation formula of the phase noise information with length M is:
Figure FDA0004153249870000014
wherein ,
Figure FDA0004153249870000015
is the first phase noise information of the pilot part of the reserved amplitude,/and>
Figure FDA0004153249870000016
is the +.about.th of the pilot part of the reserved amplitude>
Figure FDA0004153249870000021
Information of phase noise N p K=1, 2, N for the number of pilot inserted into the data portion p I is index position information, ε p(k) Index position indicating kth pilot,/-, etc.>
Figure FDA0004153249870000022
Is the pilot part phase noise information that preserves the amplitude.
2. The phase noise suppression method according to claim 1, wherein in step S1, the data symbols are represented as:
Figure FDA0004153249870000023
wherein ,
Figure FDA0004153249870000024
for the phase noise influence of the data symbols after the receiving end passes through the IDFT module, +.>
Figure FDA0004153249870000025
Is a gaussian noise vector of m×1, s= [ d (1), d (2),. The term, d (M)] T D (M) is a constellation symbol, m=1, 2.
3. The method of phase noise suppression according to claim 1, wherein in step S4, the phase angle is an estimated phase noise phase angle
Figure FDA0004153249870000026
Estimated phase noise phase angle>
Figure FDA0004153249870000027
Represented as
Figure FDA0004153249870000028
Where, g is phase noise information, b is a vector of all 1, and arg { } is a principal value of argument of complex number.
4. A phase noise suppression device comprising at least one processor, and a memory communicatively coupled to the at least one processor; the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any one of claims 1-3.
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