CN117741582B - Multi-dimensional domain coding-based main lobe interference resisting method and system for array radar - Google Patents
Multi-dimensional domain coding-based main lobe interference resisting method and system for array radar Download PDFInfo
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Abstract
The invention discloses a multi-dimensional domain coding-based method and a multi-dimensional domain coding-based system for resisting main lobe interference of an array radar, which comprise the steps of obtaining a received signal, and mixing the received signal to obtain a mixed signal; sequentially performing slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals; obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise; and obtaining an interference suppression result according to the received total signal. According to the invention, a radar new system of multi-dimensional domain coding is adopted, compared with an EPC-MIMO radar system, the Doppler modulation is used for realizing radar emission waveform separation, the defect that the orthogonality of the EPC-MIMO radar can not meet the requirement when the interference power is high is overcome, and the anti-interference capability of the MIMO radar is improved.
Description
Technical Field
The invention belongs to the technical field of radars, and particularly relates to an array radar main lobe interference resistance method and system based on multidimensional domain coding.
Background
In the paper Mainlobe interference suppression WITH ELEMENT-pulse conding MIMO radar published by Lan et al, a main lobe deception jamming suppression method based on EPC-MIMO (Element Pulse Coding-Multiple Input Multiple Output, array element-pulse code multiple input multiple output) radar is studied, waveform separation is achieved by transmitting orthogonal code waveforms, and main lobe deception jamming suppression is achieved by coding around the array element-pulse.
The conventional EPC-MIMO radar based on array element-pulse coding realizes waveform separation by transmitting orthogonal coding waveforms and performing matched filtering on a receiving end, however, when the power for forwarding interference is large enough, the separation of interference signals cannot be realized by means of the orthogonality of the orthogonal coding waveforms, so that the antijamming capability of the EPC-MIMO radar is invalid, in addition, the EPC-MIMO radar can only inhibit interference signals from different distance ambiguity intervals, and the suppression capability of interference identical to the distance ambiguity interval of a target echo is insufficient.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides an array radar main lobe interference resistance method and system based on multi-dimensional domain coding.
The technical problems to be solved by the invention are realized by the following technical scheme:
the invention provides an array radar main lobe interference resisting method based on multi-dimensional domain coding, which comprises the following steps:
Acquiring a received signal, and mixing the received signal to obtain a mixed signal, wherein the mixed signal comprises The mixed sub-pulses are N, the total number of receiving array elements is K, the total number of pulses is L, and the total number of sub-pulses in one pulse is L;
Sequentially performing slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals;
Obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
and obtaining an interference suppression result according to the received total signal.
Optionally, the mixed sub-pulses are expressed as:
;
Wherein, For mixed/>The/>, received by the receiving array elementThe/>, of the pulseSub-pulse/>Complex amplitude for point target,/>For carrier frequency,/>,/>For the distance between the point target and the radar,/>In order to achieve the light velocity, the light beam is,For the total number of transmitting array elements,/>For/>Waveform transmitted by each transmitting array element,/>For fast time,/>For coding coefficients,/>,/>Is the pulse delay number,/>Is array element spacing,/>For the angle between the point target and the radar,/>Is wavelength,/>For the target Doppler frequency,/>,/>For the target speed,/>For pulse repetition period,/>,/>,,/>。
Optionally, performing slow time phase compensation, discrete fourier transform, signal separation and pulse compression processing on the mixed signal in sequence to obtain a pulse compressed signal, where the method includes:
Performing slow time phase compensation on the mixed signals to obtain compensated signals;
performing discrete Fourier transform on the compensated signal at a slow time to obtain a transformed signal;
Using pass bands as Filtering the transformed signal to obtain a filtered signal, wherein/>For pulse repetition frequency,/>For the total number of transmit array elements;
performing inverse discrete Fourier transform on the filtered signal to obtain an inverse transformed signal;
obtaining a separated signal according to the inversely transformed signal;
Stacking all separated signals into one Vector of dimension, get the signal after stacking;
Performing fast time phase compensation on the stacked signals to obtain fast time phase compensated signals;
And carrying out pulse compression on the signal subjected to the fast time phase compensation to obtain a signal subjected to pulse compression.
Optionally, the compensated signal is expressed as:
;
Wherein, For/>The first/>, after compensation of the individual transmitting array elementsThe/>, of the kth pulse received by the receiving array elementSub-pulse/>Complex amplitude for point target,/>For carrier frequency,/>,/>For the distance between the point target and the radar,/>Is the speed of light,/>For the angle between the point target and the radar,/>Is array element spacing,/>For the doppler frequency of the target,,/>For the target speed,/>Is wavelength,/>For pulse repetition period,/>For/>Waveform transmitted by each transmitting array element,/>For fast time,/>Is the pulse delay number,/>For coding coefficients,/>,/>,/>,,/>,/>。
Optionally, the filtered signal is expressed as:
;
Wherein, Is the obtained/>The m-th transmitting array element received by the receiving array elements transmits the/>Sub-pulse/>For Doppler channel sequence number,/>,,/>Transposed,/>First/>, as a low pass filterAn element;
The separated signal is expressed as:
;
Wherein, Is the separated first/>The (th) >, of the kth pulse transmitted by the mth transmitting array element received by the receiving array elementSub-pulses.
Optionally, the fast time phase compensated signal is expressed as:
;
Wherein, For the received/>, for N receiving array elementsThe/>, of the pulseSignal after fast time phase compensation of sub-pulses,/>The received/>, for N receiving array elementsThe/>, of the pulseThe stacked signal of the sub-pulses,To convert the vector into a diagonal matrix,/>Compensating vectors for fast time phases,/>,For/>Dimension column vector,/>,/>,/>,,/>For dot product,/>,/>Is Cronecker product.
Optionally, the pulse compressed signal is expressed as:
;
Wherein, For/>Pulse compression of the pulsesSub-pulse/>,。
Optionally, the received total signal is expressed as:
;
Wherein, To receive the total signal,/>As interference signal,/>,/>For interference signal amplitude,/>,/>,,/>,/>Is Doppler vector of interference signal,/>,,/>For the modulation speed of the interference signal,/>Is noise.
Optionally, the interference suppression result is expressed as:
;
Wherein, For interference suppression results,/>,/>For the conjugate-transpose operation,For sampling covariance matrix,/>。
The invention also provides an array radar main lobe interference resisting system based on multi-dimensional domain coding, which comprises:
A mixing module, configured to obtain a received signal, and mix the received signal to obtain a mixed signal, where the mixed signal includes The mixed sub-pulses are N, the total number of receiving array elements is K, the total number of pulses is L, and the total number of sub-pulses in one pulse is L;
The processing module is used for sequentially carrying out slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals;
the total signal generation module is used for obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
And the interference suppression module is used for obtaining an interference suppression result according to the received total signal.
Compared with the prior art, the invention has the beneficial effects that:
The method comprises the steps of firstly mixing a received signal to obtain a mixed signal, then sequentially carrying out slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signal to obtain a pulse compressed signal, obtaining a total received signal according to the pulse compressed signal, an interference signal and noise, and finally obtaining an interference suppression result according to the total received signal. Compared with an EPC-MIMO radar system, the radar transmission waveform separation method based on the multi-dimensional domain coding is used for realizing the radar transmission waveform separation by using Doppler modulation, overcomes the defect that the orthogonality of the EPC-MIMO radar cannot meet the requirement when the interference power is high, and improves the anti-interference capability of the MIMO radar. The invention can not only restrain the false targets in different distance fuzzy sections, but also restrain the false targets in the same distance fuzzy section.
The present invention will be described in further detail with reference to the accompanying drawings.
Drawings
Fig. 1 is a schematic flow chart of an array radar main lobe interference resisting method based on multi-dimensional domain coding provided by the embodiment of the invention;
figure 2 is a range-doppler plot for signal separation provided by an embodiment of the present invention;
Fig. 3 is a non-adaptive beamforming pattern in the transmit-receive spatial frequency domain provided by an embodiment of the present invention;
Fig. 4 is a Capon power spectrum of a transmit-receive spatial frequency domain provided by an embodiment of the present invention;
FIG. 5 is a schematic diagram of the signal correlation accumulation results provided by the embodiment of the present invention when the method of the present invention is not used;
FIG. 6 is a schematic diagram of the signal correlation accumulation results when the method according to the present invention is used;
fig. 7 is a schematic diagram of an array radar main lobe interference resisting system based on multi-dimensional domain coding according to an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to specific examples, but embodiments of the present invention are not limited thereto.
Example 1
In the EPC-MIMO radar, phase differences related to the number of pulses and the number of array elements exist between different pulses, so that the phase differences lead to different steering vectors corresponding to different pulses, and the EPC-MIMO radar can achieve the purpose of interference suppression on signals in different distance ambiguity intervals. However, the necessary premise for the EPC-MIMO radar to achieve the above functions is that the transmit signals of the respective transmit array elements have high orthogonality, so that the subsequent radar can separate the signals transmitted by different channels. When deception jamming exists in the environment, the common phase coding orthogonal signals are low in orthogonality, and when the jamming power is large, the cross correlation peak value of each transmitting signal forwarded by the jammer can submerge a real target, so that the functions of target searching, tracking and the like of the radar are greatly affected. The invention provides a multi-dimensional domain coding system radar with joint coding around space, slow time and fast time, which realizes orthogonal transmission of a MIMO radar based on a Doppler modulation mode and suppresses main lobe deception interference while realizing good orthogonal waveforms.
Referring to fig. 1, fig. 1 is a flow chart of an array radar main lobe interference resisting method based on multi-dimensional domain coding provided by an embodiment of the present invention, and the embodiment of the present invention provides an array radar main lobe interference resisting method based on multi-dimensional domain coding, which includes:
Step 1, obtaining a received signal and mixing the received signal to obtain a mixed signal, wherein the mixed signal comprises And the mixed sub-pulses are N, wherein N is the total number of receiving array elements, K is the total number of pulses, and L is the total number of sub-pulses in one pulse.
Specifically, this embodiment sets a co-located MIMO radar system having M transmitting array elements and N receiving array elements, where an echo of a reflected transmitting signal is received by a receiving array element, and is implemented as follows:
Assuming that K pulses are transmitted by the radar within one CPI (Coherent Processing Interval ), then First/>, of individual transmitting array elementsThe/>, of the pulseThe encoding of the sub-pulses may be designed to:
;
Wherein, For coding coefficients,/>,/>For the total number of transmit array elements.
Assuming that the far field has a point target, the angle and distance between the point target and the radar are respectivelyAnd/>And the pulse delay number is/>Under narrowband conditions, by/>The/>, received by the receiving array elementThe/>, of the pulseSub-pulse/>The method comprises the following steps:
;
Wherein, Complex amplitude for point target,/>For/>Waveform transmitted by each transmitting array element,/>For fast time,/>,/>For the distance between the point target and the radar,/>Is the speed of light,/>For carrier frequency,/>For the doppler frequency of the target,,/>For the target speed,/>Is wavelength,/>For pulse repetition period,/>For the signal to travel with a two-way delay,,/>For the angle between the point target and the radar,/>Is array element spacing,/>。
Then, the received signal is mixed to obtain a mixed signal, and the mixed signal comprisesMixed sub-pulses, the mixed sub-pulses are denoted as:
;
Wherein, For mixed/>The/>, received by the receiving array elementThe/>, of the pulseSub-pulses.
And step 2, sequentially performing slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals.
And 2.1, performing slow time phase compensation on the mixed signal to obtain a compensated signal.
Specifically, to separate the firstThe/>, received by the receiving array elementPulse signals sent by the transmitting array elements need to be corresponding to the specific pulse numberThe received signals of the receiving array elements are subjected to slow time phase compensation, and the compensated signals can be expressed as:
;
Wherein, For/>The first/>, after compensation of the individual transmitting array elementsThe/>, of the kth pulse received by the receiving array elementSub-pulses.
And 2.2, performing discrete Fourier transform on the compensated signal at slow time to obtain a transformed signal.
Specifically, compensate forAfter the phase, when/>When (1)The signals of the transmitting array elements move to Doppler zero frequency, and the compensated signals are subjected to discrete Fourier transform to obtain transformed signals.
Step 2.3, using passband asFiltering the transformed signal to obtain a filtered signal, wherein/>For pulse repetition frequency,/>。
In particular, a passband is usedLow pass filter/>To filter out signals of other frequency bands, the filtered signals are expressed as:
;
Wherein, Is the obtained/>The m-th transmitting array element received by the receiving array elements transmits the/>Sub-pulse/>For Doppler channel sequence number,/>,,/>Transposed,/>First/>, as a low pass filterThe elements.
And 2.4, performing inverse discrete Fourier transform on the filtered signal to obtain an inverse transformed signal.
Specifically, the inverse transformed signal is expressed as:
;
Wherein, For/>Is a result of the inverse discrete fourier transform of (a).
And 2.5, obtaining a separated signal according to the inversely transformed signal.
Specifically, take out respectivelyCan obtain the (th) >The/>, received by the receiving array elementThe/>, transmitted by each transmitting array elementThe/>, of the pulseA sub-pulse signal, expressed as:
;
Wherein, Is the separated first/>The (th) >, of the kth pulse transmitted by the mth transmitting array element received by the receiving array elementSub-pulses.
Step 2.6, stacking all the separated signals into oneVector of dimensions, resulting in a stacked signal, expressed as:
;
Wherein, The received/>, for N receiving array elementsThe/>, of the pulseA stacked signal of sub-pulses.
And 2.7, performing fast time phase compensation on the stacked signals to obtain fast time phase compensated signals.
Specifically, phase difference between adjacent channels is eliminated by fast time phase compensationThe method comprises the following steps of:
;
Wherein, For the received/>, for N receiving array elementsThe/>, of the pulseSignal after fast time phase compensation of sub-pulses,/>To convert the vector into a diagonal matrix,/>For a fast time phase compensation vector,,/>For/>Dimension column vector,/>,/>,,/>,,/>For dot product,/>Is Cronecker product.
And 2.8, performing pulse compression on the signal subjected to the fast time phase compensation to obtain a signal subjected to pulse compression.
Here, the pulse-compressed signal is expressed as:
;
Wherein, For/>Pulse compression of the pulsesSub-pulse/>,。
And step 3, obtaining a total received signal according to the pulse compressed signal, the interference signal and the noise.
According to the signal processing flow, consider the interception of the jammer and forward the radar signal. Suppose that the own radar is affected by self-defence fast forwarding interference, and the distance ambiguity interval, angle and speed of the interference signal are the same as those of the target. In general, when the distance ambiguity interval of the forward interference signal is the same as the distance ambiguity interval of the target echo, the interference signal will necessarily lag behind the target echo in time, and when the interference signal and the target echo do not overlap in time domain due to the fact that the forwarding delay of the jammer is greater than the pulse width, the first peak value after pulse pressure will necessarily correspond to the real target, the pulse front of the target echo can be determined by this feature, and then the fast time phase compensation can be performed in the target echo region, while the fast time encoding phase of the interference signal, namelyCannot be normally compensated, so the signal model of the forward interference can be expressed as:
;
Wherein, As interference signal,/>For interference signal amplitude,/>,,/>,/>,/>Is Doppler vector of interference signal,/>,/>,For the modulation speed of the interference signal, phase compensation is performed through fast time encoding.
Thus, the true or false targets can be distinguished by different transmission spatial frequencies. Subsequently, the interference signal can be suppressed and the target signal can be accumulated by constructing an adaptive beamformer, the weight vector being expressed as:
;
Wherein, For transmitting and receiving joint steering vectors,/>For conjugate transpose operation,/>Is a sampling covariance matrix. The final received signal of the radar contains targets, interference and noise, which can be expressed as:
;
Wherein, To receive the total signal,/>Is noise.
And 4, obtaining an interference suppression result according to the received total signal.
Here, the interference suppression result is expressed as:
;
Wherein, Is the interference suppression result.
The invention firstly codes the multidimensional domains of the surrounding space, slow time and fast time of each array element transmitting signal, when the receiving end processes, firstly carries out slow time phase compensation on the receiving signal, then carries out discrete Fourier transform to enable the frequency spectrum of the required signal to be moved to zero frequency, then uses a low-pass filter to carry out signal separation to obtain the required signal, then needs to compensate the fast time coding phase, carries out beam forming, and completes target accumulation and interference suppression. According to the invention, a radar new system of multi-dimensional domain coding is adopted, compared with an EPC-MIMO radar system, the separation of radar emission waveforms is realized by Doppler modulation, the defect that the orthogonality of the EPC-MIMO radar can not meet the requirement when the interference power is high is overcome, and the anti-interference capability of the MIMO radar is improved.
Compared with EPC-MIMO radar, the invention can inhibit false targets in different distance fuzzy intervals and has inhibition effect on false targets in the same distance fuzzy interval.
When the radar waveform transmitted by the invention is generated, the transmission waveforms of different array elements and pulses can be obtained by multiplying a common transmission waveform by different initial coding phases, so the invention is easy to realize and the required hardware structure is simple.
The invention is further described in connection with simulation experiments.
1. Simulation parameter setting:
The simulation parameters of the radar system are given in table 1, the target parameters are given in table 2, and the self-defense jammer is assumed to generate 2 decoys, wherein the decoys 1 are cross-pulse forwarding interference, and the decoys 2 are fast forwarding interference.
Table 1 simulation parameters for multi-dimensional domain coded radar systems
TABLE 2 target parameters
2. Simulation content and result analysis:
Simulation 1, under the simulation parameters of table 1 and table 2, the distance-doppler diagram of the MIMO radar in signal separation is shown in fig. 2 by adopting the technology of the present invention and the multidimensional domain coding method, so that the transmitting signals of each array element are uniformly arranged in the doppler dimension under the coding effect, and thus, each transmitting signal can be separated by a low-pass filter.
An adaptive beamforming pattern for the transmit-receive spatial frequency domain is shown in fig. 3. The power spectrum of the transmitting-receiving space frequency domain of the receiving signal is shown in fig. 4, and it can be seen that under the coding effect, the power peak point of each sub-pulse of the interference signal and the power peak of the target are respectively located above different transmitting space frequencies, so that the radar can distinguish the target from the interference signal.
Simulation 2 the pseudo-target interference suppression was simulated using the technique of the present invention under the simulation parameters of tables 1 and 2 above. Fig. 5 shows the result of signal coherent accumulation without using the present invention, and it can be seen that 2 power decoys appear in the result of accumulation, and fig. 6 shows the result of signal coherent accumulation after MIMO radar uses multi-dimensional domain coding, and it can be seen that the interference signals at the positions of 4km and 2km have been suppressed, which illustrates the effectiveness of the present invention.
The simulation analysis and test prove the correctness and effectiveness of the method provided by the invention.
Example two
Referring to fig. 7, fig. 7 is a main lobe interference resisting system of an array radar based on multi-dimensional domain coding according to an embodiment of the present invention, where the main lobe interference resisting system of an array radar according to an embodiment of the present invention includes:
The frequency mixing module is used for acquiring a received signal and mixing the received signal to obtain a mixed signal, wherein the mixed signal comprises The mixed sub-pulses are N, the total number of receiving array elements is K, the total number of pulses is L, and the total number of sub-pulses in one pulse is L;
The processing module is used for sequentially carrying out slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals;
the total signal generation module is used for obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
and the interference suppression module is used for obtaining an interference suppression result according to the received total signal.
It should be noted that the terms "first," "second," and "second" are used for descriptive purposes only and are not to be construed as indicating or implying a relative importance or implying a number of technical features being indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include one or more features. In the description of the present invention, the meaning of "a plurality" is two or more, unless explicitly defined otherwise.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example.
Although the invention is described herein in connection with various embodiments, other variations to the disclosed embodiments can be understood and effected by those skilled in the art in practicing the claimed invention, from a study of the drawings and the disclosure. In the description, the word "comprising" does not exclude other elements or steps, and the "a" or "an" does not exclude a plurality. Some measures are described in mutually different embodiments, but this does not mean that these measures cannot be combined to produce a good effect.
The foregoing is a further detailed description of the invention in connection with the preferred embodiments, and it is not intended that the invention be limited to the specific embodiments described. It will be apparent to those skilled in the art that several simple deductions or substitutions may be made without departing from the spirit of the invention, and these should be considered to be within the scope of the invention.
Claims (9)
1. The method for resisting main lobe interference of the array radar based on the multidimensional domain coding is characterized by comprising the following steps of:
Obtaining a receiving signal and mixing the receiving signal to obtain a mixed signal, wherein the mixed signal comprises N x K x L mixed sub-pulses, N is the total number of receiving array elements, K is the total number of pulses, L is the total number of sub-pulses in one pulse, the code of the first sub-pulse of the kth pulse transmitted by the mth transmitting array element is represented as phi m,k,l = j2 pi gamma (m-1) (k+l), gamma is a coding coefficient, M=1, 2, …, M is the total number of transmit array elements, k=1, 2, …, K, l=1, 2, …, L;
Sequentially performing slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals;
Obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
obtaining an interference suppression result according to the received total signal, wherein the interference suppression result is expressed as:
Wherein Y l' is the interference suppression result, Y l is the received total signal, H is a conjugate transpose operation,/>For sampling covariance matrix,/> Θ 0 is the angle between the point target and the radar,/>Lambda 0 is the wavelength and d is the array element spacing.
2. The multi-dimensional domain coding based array radar main lobe interference prevention method of claim 1, wherein the mixed sub-pulses are expressed as:
Wherein x n,l,k (t) is the first sub-pulse of the kth pulse received by the nth receiving array element after mixing, A s is the complex amplitude of the point target, f 0 is the carrier frequency, R 0 is the distance between the point target and the radar, c is the speed of light, M is the total number of transmitting array elements, phi m(t-τ0) is the waveform transmitted by the M-th transmitting array element, t is the fast time, gamma is the coding coefficient,/>P s is the pulse delay number, θ 0 is the angle between the point target and the radar, f d0 is the target Doppler frequency,/>V 0 is the target speed, T r is the pulse repetition period, m=1, 2, …, M, n=1, 2, …, N, k=1, 2, …, K, l=1, 2, …, L.
3. The multi-dimensional domain coding-based main lobe interference resisting method for array radar of claim 1, wherein sequentially performing slow time phase compensation, discrete fourier transform, signal separation and pulse compression processing on the mixed signal to obtain a pulse compressed signal comprises:
Performing slow time phase compensation on the mixed signals to obtain compensated signals;
performing discrete Fourier transform on the compensated signal at a slow time to obtain a transformed signal;
Using pass bands as Filtering the transformed signal to obtain a filtered signal, wherein f r is pulse repetition frequency, and M is total number of transmitting array elements;
performing inverse discrete Fourier transform on the filtered signal to obtain an inverse transformed signal;
obtaining a separated signal according to the inversely transformed signal;
Stacking all the separated signals into a vector of MN multiplied by 1 dimension to obtain a stacked signal;
Performing fast time phase compensation on the stacked signals to obtain fast time phase compensated signals;
And carrying out pulse compression on the signal subjected to the fast time phase compensation to obtain a signal subjected to pulse compression.
4. The multi-dimensional domain coding based array radar main lobe interference rejection method of claim 3 wherein the compensated signal is represented as:
Wherein, For the ith sub-pulse of the kth pulse received by the nth receiving array element after compensating the ith transmitting array element, A s is the complex amplitude of the point target, f 0 is the carrier frequency,/>R 0 is the distance between the point target and the radar, c is the speed of light, θ 0 is the angle between the point target and the radar, d is the array element spacing, f d0 is the target Doppler frequency,/>V 0 is target speed, lambda 0 is wavelength, T r is pulse repetition period, phi m(t-τ0) is waveform transmitted by mth transmitting array element, T is fast time, p s is pulse delay number, gamma is coding coefficient,/>m=1,2,…,M,i=1,2,…,M,n=1,2,…,N,k=1,2,…,K,l=1,2,…,L。
5. The multi-dimensional domain coding based array radar main lobe interference rejection method of claim 4, wherein the filtered signal is represented as:
Wherein X n,m,l,t (K ') is the first sub-pulse transmitted by the mth transmitting array element received by the nth receiving array element obtained after frequency filtering, K ' is Doppler channel number, K ' =0, 1, …, K-1, [ ] T Is transposed, H LP (k ') is the k' th element of the low pass filter;
The separated signal is expressed as:
Wherein, And the first sub-pulse of the kth pulse transmitted by the mth transmitting array element is received by the separated nth receiving array element.
6. The multi-dimensional domain coding based array radar main lobe interference prevention method of claim 5, wherein the fast time phase compensated signal is expressed as:
wherein x' l,k (t) is the signal after fast time phase compensation of the first sub-pulse of the kth pulse received by the N receiving array elements, For the N stacked signals of the first sub-pulse of the kth pulse received by the N receiving array elements, diag {.cndot } is the conversion of the vector into a diagonal matrix, g is the fast time phase compensation vector,/>1 N Is an Nx1-dimensional column vector,/> As a result of the dot product, Is Cronecker product.
7. The multi-dimensional domain coding based array radar main lobe interference prevention method of claim 6, wherein the pulse compressed signal is expressed as:
wherein Y s,l is the first sub-pulse after pulse compression of the K pulses,
8. The multi-dimensional domain coding based array radar main lobe interference rejection method of claim 7, wherein the received total signal is expressed as:
Yl=Ys,l+Yf,l+Yn;
wherein Y l is the received total signal, Y f,l is the interference signal, Beta j is the interference signal amplitude,/> C (f df) is the Doppler vector of the interfering signal,V f is the modulation speed of the interference signal and Y n is noise.
9. An array radar main lobe interference resisting system based on multi-dimensional domain coding, which is characterized by comprising:
the frequency mixing module is used for acquiring a received signal and mixing the received signal to obtain a mixed signal, wherein the mixed signal comprises N.K.L sub-pulses after frequency mixing, N is the total number of received array elements, K is the total number of pulses, L is the total number of sub-pulses in one pulse, the code of the first sub-pulse of the kth pulse transmitted by the mth transmitting array element is represented as phi m,k,l = j2 pi gamma (m-1) (k+l), gamma is a coding coefficient, M=1, 2, …, M is the total number of transmit array elements, k=1, 2, …, K, l=1, 2, …, L;
The processing module is used for sequentially carrying out slow time phase compensation, discrete Fourier transform, signal separation and pulse compression on the mixed signals to obtain pulse compressed signals;
the total signal generation module is used for obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
The interference suppression module is configured to obtain an interference suppression result according to the received total signal, where the interference suppression result is expressed as:
Wherein Y l' is the interference suppression result, Y l is the received total signal, H is a conjugate transpose operation,/>For sampling covariance matrix,/> Θ 0 is the angle between the point target and the radar,/>Lambda 0 is the wavelength and d is the array element spacing.
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