CN115015849A - Interference suppression method and related device - Google Patents

Interference suppression method and related device Download PDF

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CN115015849A
CN115015849A CN202210951623.1A CN202210951623A CN115015849A CN 115015849 A CN115015849 A CN 115015849A CN 202210951623 A CN202210951623 A CN 202210951623A CN 115015849 A CN115015849 A CN 115015849A
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frequency
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matrix
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周峰
田甜
韩文畅
李建鑫
樊伟伟
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Xidian University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/36Means for anti-jamming, e.g. ECCM, i.e. electronic counter-counter measures
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/28Details of pulse systems
    • G01S7/285Receivers
    • G01S7/292Extracting wanted echo-signals
    • G01S7/2923Extracting wanted echo-signals based on data belonging to a number of consecutive radar periods

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Abstract

The invention provides an interference suppression method and a related device, and the interference suppression method comprises the following steps: processing an original echo signal to obtain a two-dimensional time-frequency graph corresponding to the original echo signal; detecting the two-dimensional time-frequency graph to obtain a broadband interference area; and reconstructing the broadband interference area to obtain a reconstructed echo signal. The method can effectively inhibit broadband interference.

Description

Interference suppression method and related device
Technical Field
The present invention relates to the field of signal processing, and in particular, to an interference suppression method and related apparatus.
Background
Synthetic Aperture Radar (SAR) is a high resolution imaging Radar with excellent performance. Because of its ability to detect all-weather and large-range, it has been widely used in military field (strategic information detection, dynamic monitoring of war zone, target identification and tracking, etc.) and civil field (map mapping, ocean glacier detection, resource exploration, etc.). In recent years, with the increasing complexity of electromagnetic environment, radio frequency interference signals are inevitably mixed into the SAR echo signals, which has a serious influence on the SAR high-precision imaging and target detection capability. On one hand, the existence of radio frequency noise can reduce the SAR echo quality, so that the Doppler parameter estimation precision is reduced, and SAR image blurring and defocusing are caused; on the other hand, when high power radio frequency noise exists, the SAR image results may be severely corrupted, thereby losing a large amount of useful target information. Therefore, the research of an effective SAR interference suppression method for recovering the damaged SAR echo signal has important application value. Depending on the bandwidth of the interference signal, it can be divided into Narrow-Band interference (NBI) and Wide-Band interference (WBI). For NBI, the bandwidth only occupies a small part of the effective signal bandwidth, so that a better interference suppression effect can be obtained by a time domain or frequency domain analysis method, such as a frequency domain notch method, a subspace projection method, an empirical mode decomposition method and the like. For WBI, however, it is relatively complex to suppress WBI because it is highly overlapped with the desired target signal in both the time and frequency domains.
Disclosure of Invention
The application provides an interference suppression method and a related device, wherein the method can effectively suppress broadband interference.
In a first aspect, the present application provides an interference suppression method, including: determining the window length; processing the original echo signal by using a short-time Fourier transform method based on the window length to obtain a two-dimensional time-frequency graph; detecting the two-dimensional time-frequency graph to obtain a broadband interference area; and reconstructing the broadband interference area to obtain a reconstructed echo signal.
Wherein the window length is related to the frequency resolution and the time resolution of the two-dimensional time-frequency diagram.
Wherein the step of determining the window length comprises: processing the original echo signal by using a short-time Fourier transform method based on an initial standard deviation to obtain a first initial result, wherein the initial standard deviation is determined based on the sampling frequency of the original echo signal; calculating a first order differential result and a second order differential result of the first initial result; calculating a set of chirp rate estimate values for the original echo signal using the first order differential result and the second order differential result; and carrying out weighted average on the modulation frequency estimation values in the modulation frequency estimation value set, determining a prediction standard deviation based on the weighted average result, and determining the prediction standard deviation as the window length if the prediction standard deviation is smaller than a first threshold value.
The step of detecting the two-dimensional time-frequency diagram to obtain a broadband interference area comprises the following steps: determining a threshold value, wherein the threshold value is related to the precision of the broadband interference region; and detecting the two-dimensional time-frequency graph based on the threshold value by using a broadband detection algorithm to obtain a broadband interference area.
Wherein the step of determining the threshold value comprises: calculating by using the initial Rayleigh distribution parameter to obtain an initial threshold value; the initial Rayleigh distribution parameter is determined based on the two-dimensional time-frequency diagram; determining a time-frequency mask matrix based on the initial threshold value and the two-dimensional time-frequency graph, and determining a complementary time-frequency mask matrix based on the time-frequency mask matrix; determining a predicted Rayleigh distribution parameter based on the two-dimensional time-frequency graph and the complementary time-frequency mask matrix; and determining a final threshold value based on the predicted Rayleigh distribution parameter, wherein if the final threshold value is smaller than a second threshold value, the final threshold value is determined to be the threshold value.
The step of reconstructing the broadband interference region to obtain a reconstructed echo signal includes: determining a compression parameter; refining the time-frequency mask matrix by using the compression parameters to obtain a refined time-frequency mask matrix; and reconstructing the refined time-frequency mask matrix based on the compression parameters to obtain a reconstructed echo signal.
Wherein the step of determining the compression parameter comprises: defining a frequency resolution matrix and a time resolution matrix; the frequency resolution matrix comprises frequency resolution parameters corresponding to the two-dimensional time-frequency graph, and the time resolution matrix comprises time resolution parameters corresponding to the two-dimensional time-frequency graph; constructing a reference matrix based on the frequency resolution matrix and the time resolution matrix, wherein the size of the reference matrix is determined based on the size of the frequency resolution matrix and the size of the time resolution matrix; determining the compression parameter based on the reference matrix.
In a second aspect, the present application provides an interference suppression apparatus, comprising: a determining module for determining a window length; the processing module is used for processing the original echo signal by utilizing a short-time Fourier transform method based on the window length to obtain a two-dimensional time-frequency graph; the detection module is used for detecting the two-dimensional time-frequency diagram to obtain a broadband interference area; and the reconstruction module is used for reconstructing the broadband interference area to obtain a reconstructed echo signal.
In a third aspect, the present application provides an electronic device, including a processor and a memory coupled to each other, where the memory is configured to store program instructions for implementing any one of the methods described above; the processor is configured to execute the program instructions stored by the memory.
In a fourth aspect, the present application provides a computer readable storage medium storing a program file executable to implement the method of any one of the above.
The beneficial effects of the invention are different from the situation of the prior art, and the interference suppression method of the invention comprises the following steps: processing an original echo signal to obtain a two-dimensional time-frequency graph corresponding to the original echo signal; detecting the two-dimensional time-frequency graph to obtain a broadband interference area; and reconstructing the broadband interference region to obtain a reconstructed echo signal. The method can effectively inhibit broadband interference.
Drawings
Fig. 1 is a flowchart illustrating an interference suppression method according to a first embodiment of the present invention;
FIG. 2 is a flowchart illustrating an embodiment of a window length determination method;
FIG. 3 is a flowchart illustrating an embodiment of a threshold determination method;
FIG. 4 is a flowchart illustrating an embodiment of a compression parameter determination method;
fig. 5 is a schematic structural diagram of an interference suppression apparatus according to a first embodiment of the present invention;
FIG. 6 is a schematic structural diagram of an electronic device according to an embodiment of the invention;
FIG. 7 is a structural diagram of an embodiment of a computer-readable storage medium according to the invention.
Detailed Description
To further explain the technical means and effects of the present invention adopted to achieve the predetermined objects, the present invention will be described in detail with reference to the accompanying drawings and the detailed description. The foregoing and other technical matters, features and effects of the present invention will be apparent from the following detailed description of the embodiments, which is to be read in connection with the accompanying drawings. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. The drawings are only for reference and illustration purposes and are not intended to limit the technical aspects of the invention.
The invention aims to provide an SAR broadband interference suppression method based on high-precision time frequency representation, which is characterized in that on the basis of carrying out two-dimensional time frequency representation by adopting STFT (short-time Fourier Transform) with self-adaptive window width, a time frequency mask of WBI is constructed, a method of mask Second-order multiple synchronous compression Transform (MSST 2) is designed, high-resolution time frequency analysis is carried out on an echo, the time frequency mask is subjected to refining treatment, WBI is reconstructed at high precision, and SAR useful signals are recovered.
Referring to fig. 1, fig. 1 is a flowchart illustrating an interference suppression method according to a first embodiment of the present invention, which specifically includes:
step S11: the window length is determined.
Step S12: and processing the original echo signal by using a short-time Fourier transform method based on the window length to obtain a two-dimensional time-frequency graph.
Specifically, short-time fourier transform (STFT) with adaptive window width is performed on the original echo signal to obtain a corresponding two-dimensional time-frequency graph.
Fourier transforms and fast fourier transforms play an important role in signal processing. However, the fourier transform transforms the entire signal, and thus loses time information. While STFT, an extension of the fourier transform, provides time-frequency localization information of a signal and is widely used for time-frequency graph analysis, the basic idea of STFT is to perform a fourier transform on a portion of a signal, usually using a smoothing window for weighting.
For a discrete-time signal, the STFT may be expressed as:
Figure 682385DEST_PATH_IMAGE001
wherein, the first and the second end of the pipe are connected with each other,
Figure 287941DEST_PATH_IMAGE002
the number of the units of the imaginary number is expressed,
Figure 67678DEST_PATH_IMAGE003
a time sample number is represented and,
Figure 462887DEST_PATH_IMAGE004
which is indicative of the time delay,
Figure 214942DEST_PATH_IMAGE005
a frequency sample number is indicated and,
Figure 37405DEST_PATH_IMAGE006
the number of frequency sampling points is represented,
Figure 491389DEST_PATH_IMAGE007
which represents a discrete-time signal that is,
Figure 690289DEST_PATH_IMAGE008
a window function is represented.
In the present invention, the time-frequency plot generated by the STFT shows the time-frequency plot and the frequency spectrum of different types (chirp, sinusoidal chirp, am-fm) of WBI, the frequency spectrum being represented after normalization by Fast Fourier Transform (FFT) results.
A suitable window width is critical to obtain high resolution STFT results. When a long window is chosen, better frequency resolution is obtained, but time resolution is reduced. Therefore, a compromise between frequency resolution and time resolution is required. Therefore, in one embodiment, a window length is determined, and the window length is related to the frequency resolution and the time resolution of the two-dimensional time frequency graph; and processing the original echo signal by using a short-time Fourier transform method based on the window length to obtain the two-dimensional time-frequency graph.
Specifically, the gaussian window has the characteristic of minimum time-bandwidth product, and is widely used for time-frequency analysis. Gauss window
Figure 296851DEST_PATH_IMAGE009
Is defined as:
Figure 290215DEST_PATH_IMAGE010
wherein the content of the first and second substances,
Figure 735889DEST_PATH_IMAGE011
in the form of a time, the time,
Figure 472901DEST_PATH_IMAGE012
is the standard deviation and can be considered as a measure of the window length. Optimum value thereof
Figure 933969DEST_PATH_IMAGE013
Comprises the following steps:
Figure 363814DEST_PATH_IMAGE014
wherein the content of the first and second substances,
Figure 605439DEST_PATH_IMAGE015
is the derivative of the instantaneous frequency, i.e. the instantaneous tuning frequency. But for
Figure 67513DEST_PATH_IMAGE016
Accurate estimation of (d) is still a problem.
To determine
Figure 710984DEST_PATH_IMAGE016
So as to obtain a time-frequency diagram with high aggregation degree, the invention designs the solution
Figure 983834DEST_PATH_IMAGE017
The iterative algorithm of (1). The specific process shown in fig. 2 includes:
step S21: and processing the original echo signal by using a short-time Fourier transform method based on an initial standard deviation to obtain a first initial result, wherein the initial standard deviation is determined based on the sampling frequency of the original echo signal.
Hypothesis signal
Figure 712756DEST_PATH_IMAGE018
In that
Figure 791570DEST_PATH_IMAGE019
The vicinity is approximately stationary, then the STFT result is now
Figure 977963DEST_PATH_IMAGE020
Comprises the following steps:
Figure 749610DEST_PATH_IMAGE021
wherein the content of the first and second substances,
Figure 637931DEST_PATH_IMAGE022
and
Figure 520437DEST_PATH_IMAGE023
are respectively signals at
Figure 59871DEST_PATH_IMAGE024
The magnitude and frequency of the vicinity is,
Figure 2420DEST_PATH_IMAGE025
in order to be a time delay,
Figure 378037DEST_PATH_IMAGE026
is the frequency.
Order to
Figure 798654DEST_PATH_IMAGE027
Available bandwidth
Figure 271224DEST_PATH_IMAGE028
Empirically setting a sampling frequency of 0.02 times the bandwidth of the original echo signal to obtain an initial standard deviation
Figure 70159DEST_PATH_IMAGE029
Processing the original echo signal based on the initial standard deviation by using a short-time Fourier transform method to obtain a first initial result, wherein the first initial result represents
Figure 995390DEST_PATH_IMAGE030
Step S22: a first order differential result and a second order differential result of the first initial result are calculated.
Specifically, a first order differential result and a second order differential result of the first initial result are calculated, and the specific first order differential result is:
Figure 157381DEST_PATH_IMAGE031
Figure 218878DEST_PATH_IMAGE032
the second order differential results are:
Figure 503229DEST_PATH_IMAGE033
Figure 102706DEST_PATH_IMAGE034
wherein, the first and the second end of the pipe are connected with each other,
Figure 130705DEST_PATH_IMAGE035
to take time
Figure 249971DEST_PATH_IMAGE036
Multiplication by a window function
Figure 439644DEST_PATH_IMAGE037
Short-time fourier transform results obtained as a new window function.
Step S23: and calculating a set of chirp rate estimate values for the original echo signal using the first order differential result and the second order differential result.
For gaussian linear modulation signals, the frequency modulation operator is generally used
Figure 27882DEST_PATH_IMAGE038
As instantaneous frequency modulation rate
Figure 593993DEST_PATH_IMAGE039
(instantaneous modulation frequency is derivative of instantaneous frequency)
Figure 895661DEST_PATH_IMAGE040
It is defined as:
Figure 193918DEST_PATH_IMAGE041
wherein the content of the first and second substances,
Figure 581037DEST_PATH_IMAGE042
representing a real part;
Figure 950839DEST_PATH_IMAGE043
Figure 28385DEST_PATH_IMAGE044
Figure 825440DEST_PATH_IMAGE045
can obtain
Figure 371959DEST_PATH_IMAGE046
Estimated value of (a):
Figure 545451DEST_PATH_IMAGE047
it should be noted that the original echo signal has a plurality of instantaneous modulation frequencies, and therefore there are a plurality of calculated estimates, which form a set of modulation frequency estimation values.
Step S24: and carrying out weighted average on the modulation frequency estimation values in the modulation frequency estimation value set, determining a prediction standard deviation based on the weighted average result, and determining the prediction standard deviation as the window length if the prediction standard deviation is smaller than a first threshold value.
For convenience, consider
Figure 259196DEST_PATH_IMAGE048
In discrete form
Figure 164836DEST_PATH_IMAGE049
I.e. the matrix form of the STFT result, will
Figure 447918DEST_PATH_IMAGE050
Also defined as a matrix, then
Figure 97205DEST_PATH_IMAGE051
. In order to enable the optimization algorithm to be more efficient and maintain the consistency of the whole time-frequency domain, the invention carries out weighting and averaging on the estimated frequency values in the estimated frequency value set
Figure 588492DEST_PATH_IMAGE052
Figure 914300DEST_PATH_IMAGE053
Wherein the content of the first and second substances,
Figure 435411DEST_PATH_IMAGE054
is a time frequency mask (matrix form) and represents the area in which WBI exists in the time frequency domain;
Figure 370613DEST_PATH_IMAGE055
representing the element-by-element multiplication of the matrix.
Determining a prediction standard deviation based on the result of the weighted average, in particular, by
Figure 293569DEST_PATH_IMAGE056
Giving a reasonable predicted standard deviation.
Specifically, if the predicted standard deviation is smaller than a first threshold, the predicted standard deviation is determined to be the window length, and the original echo signal is processed by using a short-time fourier transform method based on the window length to obtain the two-dimensional time-frequency graph.
If the prediction standard deviation is not smaller than the first threshold value, the process returns to step S21. The window length is calculated in an iterative manner, and the iterative process is explained as follows:
define the result of STFT as
Figure 790279DEST_PATH_IMAGE057
Wherein, in the step (A),
Figure 798686DEST_PATH_IMAGE058
and
Figure 540508DEST_PATH_IMAGE059
are respectively as
Figure 317971DEST_PATH_IMAGE060
Amplitude and phase.
Then, the signal
Figure 923265DEST_PATH_IMAGE061
Instantaneous frequency of
Figure 907051DEST_PATH_IMAGE062
Can be approximated as:
Figure 701832DEST_PATH_IMAGE063
wherein the content of the first and second substances,
Figure 583069DEST_PATH_IMAGE064
in order to be the phase operator,
Figure 172313DEST_PATH_IMAGE065
indicating the real part operation.
Then, define
Figure 906045DEST_PATH_IMAGE066
And introducing group delay
Figure 238938DEST_PATH_IMAGE067
Wherein, in the step (A),
Figure 974681DEST_PATH_IMAGE068
on this basis, the frequency modulation rate estimate may be defined as:
Figure 685892DEST_PATH_IMAGE069
Figure 890608DEST_PATH_IMAGE070
in the method and the device, after the window length is determined, the original echo signal is processed by utilizing a short-time Fourier transform method based on the window length to obtain the two-dimensional time-frequency diagram.
Step S13: and detecting the two-dimensional time-frequency diagram to obtain a broadband interference area.
Specifically, in the case where it is assumed that the SAR echo free of interference follows a complex gaussian distribution, since the STFT is a linear transformation, the STFT result of the SAR echo also follows the complex gaussian distribution, and thus the amplitude of the STFT result follows a rayleigh distribution. The wideband interference region detection can be modeled as a binary hypothesis test:
Figure 276459DEST_PATH_IMAGE071
wherein the content of the first and second substances,
Figure 617442DEST_PATH_IMAGE072
Figure 564800DEST_PATH_IMAGE073
Figure 256813DEST_PATH_IMAGE074
and
Figure 180775DEST_PATH_IMAGE075
STFT results representing SAR echo, useful target echo, noise and WBI, respectively. Under the assumption that
Figure 641844DEST_PATH_IMAGE076
In the following, the first and second parts of the material,
Figure 751315DEST_PATH_IMAGE077
the amplitude of (2) obeys Rayleigh distribution and gives false alarm probability
Figure 665044DEST_PATH_IMAGE078
Threshold of
Figure 392697DEST_PATH_IMAGE079
The calculation is as follows:
Figure 662267DEST_PATH_IMAGE080
wherein the content of the first and second substances,
Figure 935116DEST_PATH_IMAGE081
the parameters of Rayleigh distribution are obtained by adopting first moment estimation, namely:
Figure 850989DEST_PATH_IMAGE082
wherein the content of the first and second substances,
Figure 867486DEST_PATH_IMAGE083
to include for evaluation
Figure 50950DEST_PATH_IMAGE084
The vector of time-frequency bins of (a),
Figure 494700DEST_PATH_IMAGE085
representing the average of the subtended quantities. Ideally, a vector
Figure 835552DEST_PATH_IMAGE086
Does not contain WBI, however, for the SAR echo signal with WBI, the threshold should be used firstly
Figure 406473DEST_PATH_IMAGE087
And detecting the time frequency point containing the WBI. In this regard, the present invention contemplates an algorithm for detecting WBI. The specific process is as follows: determining a threshold value, wherein the threshold value is related to the precision of the broadband interference region; and detecting the two-dimensional time-frequency graph based on the threshold value by using a broadband detection algorithm to obtain a broadband interference area.
Specifically, please refer to fig. 3, which includes:
step S31: calculating by using the initial Rayleigh distribution parameter to obtain an initial threshold value; the initial Rayleigh distribution parameter is determined based on the two-dimensional time-frequency diagram.
First, will
Figure 696640DEST_PATH_IMAGE088
Vectorizing and sorting in ascending order to obtain
Figure 826139DEST_PATH_IMAGE089
And
Figure 201756DEST_PATH_IMAGE090
Figure 251402DEST_PATH_IMAGE091
is composed of
Figure 910922DEST_PATH_IMAGE092
Is represented by a vectorization of (a),
Figure 696475DEST_PATH_IMAGE093
is composed of
Figure 310122DEST_PATH_IMAGE094
The sorted result is used for calculating the initial Rayleigh distribution parameter
Figure 472113DEST_PATH_IMAGE095
And initial threshold values:
Figure 923823DEST_PATH_IMAGE096
Figure 893659DEST_PATH_IMAGE097
wherein the content of the first and second substances,
Figure 430820DEST_PATH_IMAGE098
is the initial threshold value of the threshold value,
Figure 130923DEST_PATH_IMAGE099
is a vector
Figure 921DEST_PATH_IMAGE100
From the first element to the second
Figure 393856DEST_PATH_IMAGE101
The interception of the individual elements is carried out,
Figure 480630DEST_PATH_IMAGE102
Figure 687487DEST_PATH_IMAGE103
is composed of
Figure 661259DEST_PATH_IMAGE104
The length of (a) of (b),
Figure 474363DEST_PATH_IMAGE105
is a proportionality coefficient, namely the estimation of the proportion of the interference-free points on the frequency plane,
Figure 487581DEST_PATH_IMAGE106
indicating a rounding off. In the present invention, is provided
Figure 529486DEST_PATH_IMAGE107
Because the present invention assumes that the power of the WBI is higher than that of the useful target echo and noise, and that the time-frequency points where the WBI exists only occupy
Figure 810295DEST_PATH_IMAGE108
A fraction of (a).
Step S32: and determining a time-frequency mask matrix based on the initial threshold value and the two-dimensional time-frequency graph, and determining a complementary time-frequency mask matrix based on the time-frequency mask matrix.
In an embodiment, a time-frequency mask is determined based on the initial threshold value and the two-dimensional time-frequency graph
Figure 292836DEST_PATH_IMAGE109
Matrix:
Figure 839355DEST_PATH_IMAGE110
further determining a complementary time-frequency mask matrix based on the time-frequency mask matrix:
Figure 199798DEST_PATH_IMAGE111
wherein the content of the first and second substances,
Figure 148162DEST_PATH_IMAGE112
for complementary time-frequency masksThe operation of the membrane is carried out by the operator,
Figure 804534DEST_PATH_IMAGE113
the superscript indicates the number of iterations.
Step S33: and determining a predicted Rayleigh distribution parameter based on the two-dimensional time-frequency graph and the complementary time-frequency mask matrix.
Specifically, STFT results are recorded
Figure 838349DEST_PATH_IMAGE114
(i.e. two-dimensional time-frequency diagram) and complementary time-frequency mask
Figure 471324DEST_PATH_IMAGE115
Multiplying point by point to extract time frequency point composition vector without WBI
Figure 539774DEST_PATH_IMAGE116
. Then, estimating and determining the predicted Rayleigh distribution parameters
Figure 369977DEST_PATH_IMAGE117
Figure 78039DEST_PATH_IMAGE118
Step S34: and determining a final threshold value based on the predicted Rayleigh distribution parameter, wherein if the final threshold value is smaller than a second threshold value, the final threshold value is determined to be the threshold value.
Determining a final threshold based on the predicted Rayleigh distribution parameter
Figure 953853DEST_PATH_IMAGE119
The method specifically comprises the following steps:
Figure 63760DEST_PATH_IMAGE120
at this time, whether the final threshold value is smaller than a second threshold value is determined, and if yes, the final threshold value is determined to be the threshold value. If not, returning to execute the step S31 until the final threshold value is smaller than the second threshold value, detecting the two-dimensional time-frequency diagram based on the threshold value by using a broadband detection algorithm to obtain a broadband interference area, so that a high-precision broadband interference area can be obtained.
Step S14: and reconstructing the broadband interference area to obtain a reconstructed echo signal.
Time-frequency analysis is the core of non-stationary signal processing. According to the uncertainty principle, the time-frequency result generated by the traditional linear time-frequency analysis method (such as short-time Fourier transform, wavelet transform and the like) has lower resolution. In order to improve the resolution of the conventional time-frequency analysis method, some post-processing methods are proposed. The SST (synchronous queezing Transform, SST) not only can refine the result of a time-frequency domain, but also can extract a mode from the result, and then the expanded SST2 can be better suitable for emphasizing frequency signals, so that in the invention, an STT 2 method based on STFT is adopted and combined with a multiple synchronous compression technology to obtain an MSST2 (second-order multiple synchronous compression Transform) method so as to improve the resolution of the time-frequency result.
Before introducing the STFT-based SST2 method, a second-order instantaneous frequency estimation method is introduced:
Figure 311202DEST_PATH_IMAGE121
wherein the content of the first and second substances,
Figure 67412DEST_PATH_IMAGE122
next, a definition of the STFT-based SST2 method is given:
Figure 58502DEST_PATH_IMAGE123
wherein the content of the first and second substances,
Figure 85233DEST_PATH_IMAGE124
representing the window function in the STFT,
Figure 503576DEST_PATH_IMAGE125
the threshold is represented by a number of bits representing the threshold,
Figure 484432DEST_PATH_IMAGE126
the accuracy of the representation is such that,
Figure 279213DEST_PATH_IMAGE127
a window function is represented. When the threshold and the precision approach zero, the above definition can be simplified as:
Figure 98133DEST_PATH_IMAGE128
in the present invention, the calculation region of the above formula is determined by a time-frequency mask. In addition, the signal
Figure 429321DEST_PATH_IMAGE129
To (1) a
Figure 412320DEST_PATH_IMAGE130
The individual components may be reconstructed by:
Figure 994480DEST_PATH_IMAGE131
wherein, the first and the second end of the pipe are connected with each other,
Figure 480956DEST_PATH_IMAGE132
is that
Figure 257414DEST_PATH_IMAGE133
To (1) a
Figure 462130DEST_PATH_IMAGE134
The instantaneous frequency of the individual components is,
Figure 582402DEST_PATH_IMAGE135
is a threshold.
Specifically, in one embodiment, compression parameters are determined; refining the time-frequency mask matrix by using the compression parameters to obtain a refined time-frequency mask matrix; and reconstructing the refined time-frequency mask matrix based on the compression parameters to obtain a reconstructed echo signal. Referring to fig. 4, the step of determining the compression parameters includes:
step S41: defining a frequency resolution matrix and a time resolution matrix; the frequency resolution matrix comprises frequency resolution parameters corresponding to the two-dimensional time-frequency graph, and the time resolution matrix comprises time resolution parameters corresponding to the two-dimensional time-frequency graph.
Specifically, for convenience, first, two matrices are defined
Figure 188964DEST_PATH_IMAGE136
And
Figure 71076DEST_PATH_IMAGE137
Figure 481197DEST_PATH_IMAGE138
is a frequency resolution matrix comprising frequency resolution parameters corresponding to the two-dimensional time frequency map, in particular,
Figure 375466DEST_PATH_IMAGE138
each column of (a) contains frequency-resolved parameters corresponding to the STFT results.
Figure 23485DEST_PATH_IMAGE137
Is a time resolution matrix comprising time resolution parameters corresponding to said two-dimensional time-frequency map, in particular,
Figure 816779DEST_PATH_IMAGE137
each row of (a) contains time-resolved parameters corresponding to the STFT results.
Defining a set of frequency-resolving parameters as
Figure 996087DEST_PATH_IMAGE139
The set of time-resolved parameters is
Figure 661424DEST_PATH_IMAGE140
Two, twoThe size of each set is
Figure 462152DEST_PATH_IMAGE141
And
Figure 266160DEST_PATH_IMAGE142
. The number of iterations is defined as
Figure 916453DEST_PATH_IMAGE143
Step S42: and constructing a reference matrix based on the frequency resolution matrix and the time resolution matrix, wherein the size of the reference matrix is determined based on the size of the frequency resolution matrix and the size of the time resolution matrix.
Specifically, consider a discrete form of a second order instantaneous frequency calculation formula:
Figure 884015DEST_PATH_IMAGE144
Figure 54097DEST_PATH_IMAGE145
Figure 747115DEST_PATH_IMAGE146
Figure 589431DEST_PATH_IMAGE147
then, a size of
Figure 675199DEST_PATH_IMAGE148
Reference matrix of
Figure 949054DEST_PATH_IMAGE149
In particular, the size of the reference matrix is based on the size of the frequency-resolved matrix
Figure 563707DEST_PATH_IMAGE150
And the size of the time-resolved matrix
Figure 970284DEST_PATH_IMAGE151
And (5) determining.
Step S43: determining the compression parameters based on the reference matrix.
Specifically, a variable matrix is set
Figure 328584DEST_PATH_IMAGE152
Each iteration is right
Figure 722526DEST_PATH_IMAGE153
A new value is assigned. First of all, initializing
Figure 773658DEST_PATH_IMAGE154
Then, traverse the time-frequency mask matrix
Figure 590567DEST_PATH_IMAGE155
All elements equal to 1 in
Figure 736246DEST_PATH_IMAGE156
Figure 686491DEST_PATH_IMAGE157
Representing a second order instantaneous frequency matrix (
Figure 908525DEST_PATH_IMAGE158
,
Figure 242423DEST_PATH_IMAGE159
) Elements in collections
Figure 208105DEST_PATH_IMAGE160
In finding the closest
Figure 78103DEST_PATH_IMAGE161
Element of (2), record set
Figure 657989DEST_PATH_IMAGE162
Is closest to
Figure 495495DEST_PATH_IMAGE163
Index of elements of
Figure 752951DEST_PATH_IMAGE164
Let us order
Figure 726723DEST_PATH_IMAGE165
Wherein, in the step (A),
Figure 477511DEST_PATH_IMAGE166
representing a reference matrix
Figure 287466DEST_PATH_IMAGE167
In (A) to (A)
Figure 594950DEST_PATH_IMAGE168
Figure 938076DEST_PATH_IMAGE169
) The elements of (a) and (b),
Figure 672814DEST_PATH_IMAGE170
representation matrix
Figure 904819DEST_PATH_IMAGE171
In (A) to (A)
Figure 999682DEST_PATH_IMAGE172
,
Figure 948047DEST_PATH_IMAGE173
) The elements are selected from the group consisting of,
Figure 604418DEST_PATH_IMAGE174
in the range of
Figure 638233DEST_PATH_IMAGE175
Figure 536788DEST_PATH_IMAGE176
In the range of
Figure 605238DEST_PATH_IMAGE177
Figure 423722DEST_PATH_IMAGE178
In the range of
Figure 679254DEST_PATH_IMAGE179
. After the traversal is finished, order
Figure 381500DEST_PATH_IMAGE180
. Then, the above traversal process is repeated
Figure 304456DEST_PATH_IMAGE181
Then, a reference matrix is obtained
Figure 240314DEST_PATH_IMAGE182
Figure 232409DEST_PATH_IMAGE183
For the number of iterations, order
Figure 223499DEST_PATH_IMAGE184
And obtaining the processing result of MSST 2.
Note that the number of iterations
Figure 748765DEST_PATH_IMAGE185
Can be set by itself, and in a practical application of the application, the iteration number is set
Figure 167108DEST_PATH_IMAGE186
To 2, a high resolution compression parameter T is obtained, which is represented in matrix form. In the application, the result of the instantaneous frequency estimation and rearrangement operation based on MSST2 is obviously more concentrated than the STFT result, and the energy of WBI is tightly gathered near a time-frequency curve, which is important for accurately extracting WBI.
In the application, after the compression parameter T is determined, the time-frequency mask matrix is refined by using the compression parameter to obtain refinedThen, a time-frequency mask matrix is obtained; and reconstructing the refined time-frequency mask matrix based on the compression parameters to obtain a reconstructed echo signal. Specifically, peak detection is performed on each column in the compression parameters, and the distance peak is larger than the distance peak
Figure 912079DEST_PATH_IMAGE187
Is at a time-frequency point of
Figure 441280DEST_PATH_IMAGE188
Set to zero in the corresponding column. In the present invention, to preserve as much WBI energy as possible while avoiding absorbing the energy of the useful target signal, one would like
Figure 89562DEST_PATH_IMAGE187
Set to 2 points (two frequency resolving cells). The time-frequency mask after thinning is finer.
The results of MSST2 are compared
Figure 678806DEST_PATH_IMAGE189
I.e. compression parameters and refined time-frequency mask
Figure 583177DEST_PATH_IMAGE190
Point-by-point multiplication and summation by columns to reconstruct WBI, the calculation formula is as follows:
Figure 669731DEST_PATH_IMAGE191
wherein the content of the first and second substances,
Figure 421787DEST_PATH_IMAGE192
representing the WBI after reconstruction of the image,
Figure 431200DEST_PATH_IMAGE193
indicating column-wise summation.
Since the STFT approximation of the SAR echo follows a complex gaussian distribution, its contribution to the sum is negligible. In other words,
Figure 635916DEST_PATH_IMAGE194
containing approximately only the energy of WBI.
To improve performance, the reconstructed WBI is optimized by orthogonal projection:
Figure 523232DEST_PATH_IMAGE195
the SAR echo can then be reconstructed by:
Figure 129794DEST_PATH_IMAGE196
wherein the content of the first and second substances,
Figure 310108DEST_PATH_IMAGE197
obtaining a reconstructed echo signal for the original echo signal
Figure 2121DEST_PATH_IMAGE198
To further demonstrate the robustness of the interference suppression method proposed by the present invention, in the present invention, WBI with faster frequency variation and WBI with multi-component are suppressed, respectively, wherein in the embodiments of WBI with faster frequency variation, the signal-to-interference ratios of sinusoidally modulated WBI and chirped WBI are-20 dB and-14 dB, respectively; in the multi-component WBI embodiment, the am-fm WBI and two chirp WBI have signal-to-interference ratios of-20 dB and-14 dB, respectively. The results of the reconstruction show that although WBI exhibits strong non-stationarity, the method still maintains the desired performance, accurately suppressing WBI.
Aiming at the SAR interference suppression method based on high-precision time-frequency representation in the embodiment, experimental verification is carried out, and different WBI suppression methods are adopted to compare the suppression performance results; in order to quantitatively evaluate the performance of the proposed method, the error of normalized recovery of the SAR echo is used
Figure 690198DEST_PATH_IMAGE199
(Normalized Recovery Error, NRE), which can be expressed as:
Figure 151266DEST_PATH_IMAGE200
wherein, the first and the second end of the pipe are connected with each other,
Figure 502482DEST_PATH_IMAGE201
is a matrix containing the original SAR echo as its column,
Figure 681790DEST_PATH_IMAGE202
is a matrix containing the recovered SAR echoes,
Figure 848592DEST_PATH_IMAGE203
the Frobenius norm of the matrix is represented.
Experiments prove that the normalized recovery error NRE of the transient frequency spectrum notch is-8.27 dB, the NRE of the transient characteristic subspace filtering is-6.81 dB, the NRE of the iterative adaptive method is-7.37 dB and the NRE of the interference suppression method based on the high-precision time-frequency representation provided by the invention is-9.10 dB, so that the recovery error of the application is the minimum, the suppression method based on the high-precision time-frequency representation provided by the invention has the best suppression effect, and the effectiveness of the invention is verified.
Referring to fig. 5, fig. 5 is a schematic structural diagram of an interference suppression device according to an embodiment of the present invention, which specifically includes: a determination module 51, a processing module 52, a detection module 53 and a reconstruction module 54.
The determining module 51 is configured to determine a window length, where the window length is related to a frequency resolution and a time resolution of the two-dimensional time-frequency graph. In an embodiment, the determining module 51 processes the original echo signal by using a short-time fourier transform method based on an initial standard deviation, so as to obtain a first initial result, where the initial standard deviation is determined based on a sampling frequency of the original echo signal; calculating a first order differential result and a second order differential result of the first initial result; calculating a set of chirp rate estimate values for the original echo signal using the first order differential result and the second order differential result; and carrying out weighted average on the modulation frequency estimation values in the modulation frequency estimation value set, determining a prediction standard deviation based on the weighted average result, and determining the prediction standard deviation as the window length if the prediction standard deviation is smaller than a first threshold value.
The processing module 52 is configured to process the original echo signal based on the window length by using a short-time fourier transform method, so as to obtain a two-dimensional time-frequency diagram.
The detection module 53 is configured to detect the two-dimensional time-frequency diagram to obtain a broadband interference area. Specifically, the detecting module 53 is configured to determine a threshold, where the threshold is related to the accuracy of the broadband interference area; and detecting the two-dimensional time-frequency graph based on the threshold value by using a broadband detection algorithm to obtain a broadband interference area. In one embodiment, the detection module 53 calculates an initial threshold value by using the initial rayleigh distribution parameter; the initial Rayleigh distribution parameter is determined based on the two-dimensional time-frequency diagram; determining a time-frequency mask matrix based on the initial threshold value and the two-dimensional time-frequency graph, and determining a complementary time-frequency mask matrix based on the time-frequency mask matrix; determining a predicted Rayleigh distribution parameter based on the two-dimensional time-frequency graph and the complementary time-frequency mask matrix; and determining a final threshold value based on the predicted Rayleigh distribution parameter, wherein if the final threshold value is smaller than a second threshold value, the final threshold value is determined to be the threshold value.
The reconstruction module 54 is configured to reconstruct the broadband interference region to obtain a reconstructed echo signal. Specifically, the reconstruction module 54 is configured to determine compression parameters; refining the time-frequency mask matrix by using the compression parameters to obtain a refined time-frequency mask matrix; and reconstructing the refined time-frequency mask matrix based on the compression parameters to obtain a reconstructed echo signal. In one embodiment, the reconstruction module 54 defines a frequency-resolved matrix and a time-resolved matrix; the frequency resolution matrix comprises frequency resolution parameters corresponding to the two-dimensional time-frequency graph, and the time resolution matrix comprises time resolution parameters corresponding to the two-dimensional time-frequency graph; constructing a reference matrix based on the frequency resolution matrix and the time resolution matrix, wherein the size of the reference matrix is determined based on the size of the frequency resolution matrix and the size of the time resolution matrix; determining the compression parameters based on the reference matrix.
Fig. 6 is a schematic structural diagram of an electronic device according to an embodiment of the invention. The electronic device comprises a memory 62 and a processor 61 connected to each other.
The memory 62 is used to store program instructions implementing the method of any one of the above.
The processor 61 is operative to execute program instructions stored in the memory 62.
The processor 61 may also be referred to as a CPU (Central Processing Unit). The processor 61 may be an integrated circuit chip having signal processing capabilities. The processor 61 may also be a general purpose processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA) or other programmable logic device, discrete gate or transistor logic, discrete hardware components. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The storage 62 may be a memory bank, a TF card, etc., and may store all information in the electronic device, including the input raw data, the computer program, the intermediate operation results, and the final operation results. It stores and retrieves information based on the location specified by the controller. With the memory, the electronic device can only have the memory function to ensure the normal operation. The storage of electronic devices can be classified into a main storage (internal storage) and an auxiliary storage (external storage) according to the use, and also into an external storage and an internal storage. The external memory is usually a magnetic medium, an optical disk, or the like, and can store information for a long period of time. The memory refers to a storage component on the main board, which is used for storing data and programs currently being executed, but is only used for temporarily storing the programs and the data, and the data is lost when the power is turned off or the power is cut off.
In the several embodiments provided in the present application, it should be understood that the disclosed method and apparatus may be implemented by other methods. For example, the above-described apparatus implementation methods are merely illustrative, e.g., the division of modules or units into only one logical functional division, and additional division methods may be implemented in practice, e.g., units or components may be combined or integrated into another system, or some features may be omitted, or not implemented. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or units, and may be in an electrical, mechanical or other form.
Units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the embodiment of the method.
In addition, functional units in the embodiments of the present application may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit. The integrated unit can be realized in a form of hardware, and can also be realized in a form of a software functional unit.
The integrated unit, if implemented in the form of a software functional unit and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present application may be substantially implemented or contributed to by the prior art, or all or part of the technical solution may be embodied in a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a system server, a network device, or the like) or a processor (processor) to execute all or part of the steps of the implementation method of the present application.
Fig. 7 is a schematic structural diagram of a computer-readable storage medium according to the present invention. The storage medium of the present application stores a program file 71 capable of implementing all the methods, wherein the program file 71 may be stored in the storage medium in the form of a software product, and includes several instructions to enable a computer device (which may be a personal computer, a server, or a network device) or a processor (processor) to execute all or part of the steps of each implementation method of the present application. The foregoing storage device includes: various media capable of storing program codes, such as a usb disk, a mobile hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, or terminal devices, such as a computer, a server, a mobile phone, and a tablet.
The above description is only an implementation method of the present invention, and not intended to limit the scope of the present invention, and all equivalent structures or equivalent flow transformations made by using the contents of the present specification and the accompanying drawings, or directly or indirectly applied to other related technical fields, are included in the scope of the present invention.

Claims (10)

1. An interference suppression method, comprising:
determining the window length;
processing the original echo signal by using a short-time Fourier transform method based on the window length to obtain a two-dimensional time-frequency graph;
detecting the two-dimensional time-frequency graph to obtain a broadband interference area;
and reconstructing the broadband interference area to obtain a reconstructed echo signal.
2. The method of claim 1, wherein the window length is related to a frequency resolution and a time resolution of the two-dimensional time-frequency graph.
3. The method of claim 2, wherein the step of determining the window length comprises:
processing the original echo signal by using a short-time Fourier transform method based on an initial standard deviation to obtain a first initial result, wherein the initial standard deviation is determined based on the sampling frequency of the original echo signal;
calculating a first order differential result and a second order differential result of the first initial result;
calculating a set of chirp rate estimate values for the original echo signal using the first order differential result and the second order differential result;
and carrying out weighted average on the modulation frequency estimation values in the modulation frequency estimation value set, determining a prediction standard deviation based on the weighted average result, and determining the prediction standard deviation as the window length if the prediction standard deviation is smaller than a first threshold value.
4. The method according to claim 1, wherein the step of detecting the two-dimensional time-frequency diagram to obtain a wideband interference region comprises:
determining a threshold value, wherein the threshold value is related to the precision of the broadband interference region;
and detecting the two-dimensional time-frequency graph based on the threshold value by using a broadband detection algorithm to obtain a broadband interference area.
5. The method of claim 4, wherein the step of determining the threshold value comprises:
calculating by using the initial Rayleigh distribution parameter to obtain an initial threshold value; the initial Rayleigh distribution parameter is determined based on the two-dimensional time-frequency diagram;
determining a time-frequency mask matrix based on the initial threshold value and the two-dimensional time-frequency graph, and determining a complementary time-frequency mask matrix based on the time-frequency mask matrix;
determining a predicted Rayleigh distribution parameter based on the two-dimensional time-frequency graph and the complementary time-frequency mask matrix;
and determining a final threshold value based on the predicted Rayleigh distribution parameter, wherein if the final threshold value is smaller than a second threshold value, the final threshold value is determined to be the threshold value.
6. The method of claim 5, wherein the step of reconstructing the wide-band interference region to obtain a reconstructed echo signal comprises:
determining a compression parameter;
refining the time-frequency mask matrix by using the compression parameters to obtain a refined time-frequency mask matrix;
and reconstructing the refined time-frequency mask matrix based on the compression parameters to obtain a reconstructed echo signal.
7. The method of claim 6, wherein the step of determining compression parameters comprises:
defining a frequency resolution matrix and a time resolution matrix; the frequency resolution matrix comprises frequency resolution parameters corresponding to the two-dimensional time-frequency graph, and the time resolution matrix comprises time resolution parameters corresponding to the two-dimensional time-frequency graph;
constructing a reference matrix based on the frequency resolution matrix and the time resolution matrix, wherein the size of the reference matrix is determined based on the size of the frequency resolution matrix and the size of the time resolution matrix;
determining the compression parameter based on the reference matrix.
8. An interference suppression apparatus, comprising:
a determining module for determining a window length;
the processing module is used for processing the original echo signal by utilizing a short-time Fourier transform method based on the window length to obtain a two-dimensional time-frequency graph;
the detection module is used for detecting the two-dimensional time-frequency diagram to obtain a broadband interference area;
and the reconstruction module is used for reconstructing the broadband interference area to obtain a reconstructed echo signal.
9. An electronic device comprising a processor and a memory coupled to each other, wherein,
the memory for storing program instructions for implementing the method of any one of claims 1-7;
the processor is configured to execute the program instructions stored by the memory.
10. A computer-readable storage medium, characterized in that a program file is stored, which program file can be executed to implement the method according to any one of claims 1-7.
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US20190285681A1 (en) * 2018-03-16 2019-09-19 Wuhan University Electromagnetic interference objective complexity evaluation method based on fast s-transformation time-frequency space model
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US20190285681A1 (en) * 2018-03-16 2019-09-19 Wuhan University Electromagnetic interference objective complexity evaluation method based on fast s-transformation time-frequency space model
CN113238193A (en) * 2021-04-23 2021-08-10 西安电子科技大学 Multi-component combined reconstruction SAR echo broadband interference suppression method

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Application publication date: 20220906