CN105137404A - Radar compression sampling method based on prepulse processing, and radar compression sampling system - Google Patents
Radar compression sampling method based on prepulse processing, and radar compression sampling system Download PDFInfo
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Abstract
本发明提出一种基于预脉冲间处理的雷达压缩采样方法及系统,属于雷达信号处理技术领域。所述压缩采样方法包括:步骤一,用一个模拟伪随机序列对输入模拟信号进行了混频,获得混频信号;步骤二,利用低通滤波器对所述混频信号进行滤波,获得滤波信号;步骤三,利用低速ADC对输入模拟信号进行采样,获得采样数字信号;步骤四,利用动目标指示器(MTI)和动目标检测(MTD)对采样数字信号进行脉冲间杂波抑制/相参积累处理;步骤五,利用压缩重构算法对所述步骤四中处理后的所得信号进行重构。该压缩采样方法及系统具有复杂度低,易于实现等特点。The invention proposes a radar compression sampling method and system based on pre-pulse inter-processing, belonging to the technical field of radar signal processing. The compressed sampling method includes: Step 1, using an analog pseudo-random sequence to mix the input analog signal to obtain a mixed frequency signal; Step 2, using a low-pass filter to filter the mixed frequency signal to obtain a filtered signal ; Step 3, use low-speed ADC to sample the input analog signal to obtain the sampled digital signal; Step 4, use the moving target indicator (MTI) and moving target detection (MTD) to perform pulse-to-pulse clutter suppression/coherent accumulation on the sampled digital signal Processing; step five, using a compression reconstruction algorithm to reconstruct the signal obtained after processing in step four. The compressed sampling method and system have the characteristics of low complexity, easy realization and the like.
Description
技术领域technical field
本发明涉及一种基于预脉冲间处理的雷达压缩采样方法及系统,属于雷达信号处理技术领域。The invention relates to a radar compression sampling method and system based on pre-pulse inter-processing, and belongs to the technical field of radar signal processing.
背景技术Background technique
传统的雷达压缩采样系统基于模拟-信息转换器(AnalogtoInformationConverter,AIC)。首先用一个模拟伪随机序列对模拟信号进行混频,然后将混频后的信号通过一个低通滤波器,之后用低速模/数转换器(AnalogtoDigitalConverter,ADC)对滤波后信号进行欠采样,最后将混频与低通滤波的等效矩阵与稀疏矩阵的乘积作为观测矩阵,用压缩感知的重构算法从欠采样信号中恢复出原信号。Traditional radar compression sampling system is based on analog-information converter (AnalogtoInformationConverter, AIC). First use an analog pseudo-random sequence to mix the analog signal, then pass the mixed signal through a low-pass filter, and then use a low-speed analog/digital converter (AnalogtoDigitalConverter, ADC) to undersample the filtered signal, and finally The product of the equivalent matrix of frequency mixing and low-pass filtering and the sparse matrix is used as the observation matrix, and the reconstruction algorithm of compressed sensing is used to restore the original signal from the under-sampled signal.
GuangmingShi针对雷达信号压缩采样提出了一种波形匹配(WaveformMatch,WM)稀疏字典。WM稀疏字典矩阵可以视作是由一系列具有不同时延的发射脉冲所形成的列向量构成的矩阵。可以看出,这与发送信号的自相关矩阵非常相似。实际上,雷达信号的压缩采样与重构,可以视为对信号同时进行采样与脉冲压缩。在WM字典下,压缩重构的目标信号就是雷达信号进行脉冲压缩的结果。GuangmingShi proposed a waveform matching (WaveformMatch, WM) sparse dictionary for radar signal compression sampling. The WM sparse dictionary matrix can be regarded as a matrix composed of column vectors formed by a series of transmitted pulses with different time delays. It can be seen that this is very similar to the autocorrelation matrix of the transmitted signal. In fact, the compressed sampling and reconstruction of radar signals can be regarded as simultaneous sampling and pulse compression of the signal. Under the WM dictionary, the compressed and reconstructed target signal is the result of pulse compression of the radar signal.
在压缩采样理论中,进行可靠恢复所需的样本数量是由重构信号的稀疏度和长度决定的。当重构信号的长度为N,稀疏度为K时,从压缩采样信号中可靠地恢复出原信号所需的样本数量为:CKlog(N/K),其中C为正的经验参数。可以看出,在目标信号的稀疏度较低时,压缩采样所需的最低样本数量与稀疏度几乎成正比。In compressed sampling theory, the number of samples required for reliable recovery is determined by the sparsity and length of the reconstructed signal. When the length of the reconstructed signal is N and the degree of sparsity is K, the number of samples needed to recover the original signal reliably from the compressed sampling signal is: CKlog(N/K), where C is a positive empirical parameter. It can be seen that when the sparsity of the target signal is low, the minimum number of samples required for compressed sampling is almost proportional to the sparsity.
在雷达的实际环境下,回波信号中除了所要探测的目标的回波,通常还包含着大量的由地面等障碍物反射回的杂波。杂波具有与目标回波相同的波形,因此在WM字典中也会表现为稀疏目标。这些杂波会大大增加目标信号的稀疏度,从而严重降低雷达压缩采样系统的采样效率。如何消除杂波对压缩采样的影响,是雷达压缩采样走向实际应用所要解决的主要难点之一。In the actual environment of radar, in addition to the echo of the target to be detected, the echo signal usually also contains a large number of clutter reflected by obstacles such as the ground. Clutter has the same waveform as the target echo, so it will also appear as a sparse target in the WM dictionary. These clutters will greatly increase the sparsity of the target signal, thereby seriously reducing the sampling efficiency of the radar compression sampling system. How to eliminate the impact of clutter on compressed sampling is one of the main difficulties to be solved in the practical application of radar compressed sampling.
传统的AIC雷达压缩采样系统将传统雷达系统的脉冲压缩与目标检测两个处理步骤合并为压缩重构,因此在目标检测时无法利用杂波抑制与相参积累所带来的信号增益。因此,我们需要一种新的雷达压缩采样方法,使得系统在进行压缩重构时具备杂波抑制与相参积累所带来的增益,令雷达压缩采样技术能够在多杂波/强噪声环境下得到实际的应用。The traditional AIC radar compression sampling system combines the two processing steps of pulse compression and target detection of the traditional radar system into compressed reconstruction, so the signal gain brought by clutter suppression and coherent accumulation cannot be used in target detection. Therefore, we need a new radar compression sampling method, which enables the system to have the gains brought by clutter suppression and coherent accumulation during compression and reconstruction, so that radar compression sampling technology can be used in multiple clutter/strong noise environments. get practical application.
发明内容Contents of the invention
为了克服传统雷达压缩采样方法及系统无法利用杂波抑制与相参积累所带来的信号增益等问题,所采取的技术方案如下:In order to overcome the problem that the traditional radar compression sampling method and system cannot use the signal gain brought by clutter suppression and coherent accumulation, the technical solutions adopted are as follows:
本发明提出了一种基于预脉冲间处理的雷达压缩采样方法及系统,所述压缩采样方法包括:The present invention proposes a radar compression sampling method and system based on pre-pulse processing, and the compression sampling method includes:
步骤一,用一个模拟伪随机序列对输入模拟信号进行了混频,获得混频信号;In step 1, an analog pseudo-random sequence is used to mix the input analog signal to obtain a mixed frequency signal;
步骤二,利用低通滤波器对所述混频信号进行滤波,获得滤波信号;Step 2, using a low-pass filter to filter the mixed frequency signal to obtain a filtered signal;
步骤三,利用低速ADC对输入模拟信号进行采样,获得采样数字信号;Step 3, using a low-speed ADC to sample the input analog signal to obtain a sampled digital signal;
步骤四,利用动目标指示器(MTI)和动目标检测(MTD)对采样数字信号进行脉冲间杂波抑制/相参积累处理;Step 4, using the moving target indicator (MTI) and moving target detection (MTD) to perform inter-pulse clutter suppression/coherent accumulation processing on the sampled digital signal;
步骤五,利用压缩重构算法对所述步骤四中处理后的所得信号进行重构。Step five, using a compression reconstruction algorithm to reconstruct the signal obtained after processing in step four.
优选地,所述输入模拟信号为雷达信号;所述混频信号的带宽与输入模拟信号的带宽相同频谱能量调制到整个信号的带宽之内;所述低通滤波器的带宽与所述低速ADC的采样频率相同;Preferably, the input analog signal is a radar signal; the bandwidth of the mixing signal is the same as that of the input analog signal, and the spectrum energy is modulated within the bandwidth of the entire signal; the bandwidth of the low-pass filter is the same as that of the low-speed ADC The sampling frequency is the same;
优选地,所述动目标指示器(MTI)采用双线延迟对消方式消除所述回波信号中的静止杂波;所述杂波抑制/相参积累处理在所述模拟信号的脉冲维上进行;所述压缩重构处理在所述模拟信号的距离维上进行。Preferably, the moving target indicator (MTI) adopts a two-line delay cancellation method to eliminate static clutter in the echo signal; the clutter suppression/coherent accumulation process is performed on the pulse dimension of the analog signal Perform; the compression and reconstruction process is performed on the distance dimension of the analog signal.
优选地,所述杂波抑制/相参积累处理针对所述模拟信号的不同条脉冲回波,对所述不同条脉冲回波进行联合处理;所述压缩重构处理针对所述模拟信号的单条脉冲回波,对所述单条回波中不同时间点上的分量进行处理。Preferably, the clutter suppression/coherent accumulation process is aimed at different pulse echoes of the analog signal, and the different pulse echoes are jointly processed; the compression reconstruction process is aimed at a single pulse echo of the analog signal The pulse echo is used to process components at different time points in the single echo.
优选地,所述雷达信号的压缩采样步骤如下:Preferably, the compressed sampling steps of the radar signal are as follows:
步骤一,用一个模拟伪随机序列p(t)={1,-1}对雷达信号x(t)进行了混频,获得相应混频信号xp(t)=x(t)·p(t);所述伪随机序列p(t)的带宽与雷达信号x(t)的带宽相同;Step 1, the radar signal x(t) is mixed with an analog pseudo-random sequence p(t)={1,-1} to obtain the corresponding mixed signal x p (t)=x(t)·p( t); the bandwidth of the pseudo-random sequence p(t) is the same as the bandwidth of the radar signal x(t);
步骤二,利用低通滤波器h(t)对所述混频信号进行滤波,获得滤波信号xh(t)=x(t)*h(t);所述低通滤波器h(t)的带宽为Fs=500MHz;Step 2, using a low-pass filter h(t) to filter the mixed frequency signal to obtain a filtered signal x h (t)=x(t)*h(t); the low-pass filter h(t) The bandwidth is Fs=500MHz;
步骤三,利用低速ADC对输入模拟信号进行采样,获得采样数字信号y(m)=xh(mΔt1);Step 3, use the low-speed ADC to sample the input analog signal to obtain the sampled digital signal y(m)=x h (mΔt 1 );
所述低速ADC的采样频率与低通滤波器h(t)的带宽相同,其中,Δt1=1/Fs为低速ADC采样间隔;The sampling frequency of the low-speed ADC is the same as the bandwidth of the low-pass filter h(t), wherein Δt 1 =1/Fs is the sampling interval of the low-speed ADC;
步骤四,利用动目标指示器(MTI)和动目标检测(MTD)进行脉冲间杂波抑制/相参积累处理,获得信号:Step 4, use the moving target indicator (MTI) and moving target detection (MTD) to perform inter-pulse clutter suppression/coherent accumulation processing to obtain the signal:
ril′(m)=yl(m)-2yl+1(m)+yl+2(m)r il '(m)=y l (m)-2y l+1 (m)+y l+2 (m)
其中,所述动目标检测的相参积累点数为L=3;所述yl(m)为所述雷达信号在慢时间维上的第l个脉冲回波xl(t)的压缩采样结果;所述ril′(m)为对yl(m)进行二阶对消杂波抑制处理后的结果;r′dl(m)为对yl(m)进行相参积累处理的结果;Wnl为傅里叶变换算子;Wherein, the number of coherent accumulation points of the moving target detection is L=3; the y l (m) is the compressed sampling result of the lth pulse echo x l (t) of the radar signal on the slow time dimension ; The r il '(m) is the result of carrying out second-order anti-clutter suppression processing to y l (m); r' dl (m) is the result of coherent accumulation processing to y l (m); W nl is a Fourier transform operator;
步骤五,利用压缩重构算法对所述步骤四中处理后的所得信号进行压缩重构处理,得到重构信号x(n),所述重构信号x(n)的波形与正常奈奎斯特采样的雷达信号的脉冲压缩结果相同;重构矩阵Φ=H*P*F,其中,P为p(t)中的元素组成的对角阵,H为模拟低通滤波器h(t)的等效卷积矩阵,F为雷达的脉冲压缩矩阵;所述雷达信号脉冲压缩点数为I=64。Step 5, using the compression reconstruction algorithm to compress and reconstruct the signal obtained in step 4 to obtain a reconstructed signal x(n), the waveform of the reconstructed signal x(n) is the same as the normal Nyquis The pulse compression results of the extra-sampled radar signal are the same; the reconstruction matrix Φ=H*P*F, wherein, P is a diagonal matrix composed of elements in p(t), and H is an analog low-pass filter h(t) The equivalent convolution matrix of F is the pulse compression matrix of the radar; the number of pulse compression points of the radar signal is I=64.
优选地,所述雷达信号为线性调频信号,雷达信号脉宽为B=2GHz;所述雷达信号发送点数为N=64,脉冲发射频率为PRF=250MHz,载波频率为Fi=20GHz;所述雷达信号中包含的目标数量为K=2,杂波数量为Kc=4。Preferably, the radar signal is a linear frequency modulation signal, and the pulse width of the radar signal is B=2GHz; the number of transmission points of the radar signal is N=64, the pulse transmission frequency is PRF=250MHz, and the carrier frequency is Fi=20GHz; the radar signal The number of targets contained in the signal is K=2, and the number of clutters is Kc=4.
优选地,所述动目标指示器(MTI)采用双线延迟对消方式消除所述回波信号中的静止杂波;所述杂波抑制/相参积累处理在雷达信号的脉冲维上进行;所述压缩重构处理在雷达信号的距离维上进行。所述杂波抑制/相参积累处理针对所述雷达信号的不同条脉冲回波,对所述不同条脉冲回波进行联合处理;所述压缩重构处理针对所述雷达信号的单条脉冲回波,对所述单条回波中不同时间点上的分量进行处理。Preferably, the moving target indicator (MTI) adopts a two-line delay cancellation method to eliminate static clutter in the echo signal; the clutter suppression/coherent accumulation processing is performed on the pulse dimension of the radar signal; The compression reconstruction process is performed on the range dimension of the radar signal. The clutter suppression/coherent accumulation processing is for different pulse echoes of the radar signal, and the different pulse echoes are jointly processed; the compression and reconstruction processing is for a single pulse echo of the radar signal , processing components at different time points in the single echo.
优选地,一种用于实现上述方法的系统,所述系统包括解调器1、低通滤波器2、低速ADC3、脉冲串/并转换器4、杂波抑制模块5、相参积累模块6和压缩重构模块7;所述解调器1的信号输入端口即为所述系统信号输入端口,用以接收模拟输入信号;所述解调器1的信号输出端口与所述低通滤波器2的信号输入端口相连;所述低通滤波器2的信号输出端口与所述低速ADC3的信号输入端口相连;所述低速ADC3的信号输出端口与脉冲串/并转换器4的信号输入端口相连;所述脉冲串/并转换器4的信号输出端口与所述杂波抑制模块5的信号输入端口a1…an相连;所述杂波抑制模块5的信号输出端口与所述相参积累模块6的信号输入端口b1…bn一一对应相连;所述相参积累模块6的信号输出端口与所述压缩重构模块7的信号输入端口c相连;所述压缩重构模块7的信号输入端口d用于接收稀疏字典信号,所述压缩重构模块7的重构信号输出端口e即为所述系统的信号输出端口;Preferably, a system for implementing the above method, the system includes a demodulator 1, a low-pass filter 2, a low-speed ADC3, a pulse train/parallel converter 4, a clutter suppression module 5, and a coherent accumulation module 6 And compression reconstruction module 7; The signal input port of described demodulator 1 is exactly described system signal input port, in order to receive analog input signal; The signal output port of described demodulator 1 and described low-pass filter 2 is connected to the signal input port; the signal output port of the low-pass filter 2 is connected to the signal input port of the low-speed ADC3; the signal output port of the low-speed ADC3 is connected to the signal input port of the pulse train/parallel converter 4 ; The signal output port of the pulse train/parallel converter 4 is connected to the signal input port a 1 ... a n of the clutter suppression module 5; the signal output port of the clutter suppression module 5 is connected to the coherent accumulation The signal input ports b 1 ... b n of the module 6 are connected in one-to-one correspondence; the signal output port of the coherent accumulation module 6 is connected to the signal input port c of the compression reconstruction module 7; the compression reconstruction module 7 The signal input port d is used to receive the sparse dictionary signal, and the reconstruction signal output port e of the compression reconstruction module 7 is the signal output port of the system;
所述解调器1用于伪随机序列与输入模拟信号的混频,获得混频信号;所述低通滤波器2用于滤除所述混频信号中的高频干扰信号;所述低速ADC3用于输入模拟信号进行采样,获得采样数字信号;所述杂波抑制模块5与相参积累模块6结合运行,用于采样数字信号的杂波抑制/相参积累处理;所述压缩重构模块7用于实现杂波抑制/相参积累处理后的输出信号的压缩重构,获得重构信号。The demodulator 1 is used for mixing the pseudo-random sequence and the input analog signal to obtain a mixed frequency signal; the low-pass filter 2 is used to filter out high-frequency interference signals in the mixed frequency signal; the low-speed ADC3 is used to sample the input analog signal to obtain a sampled digital signal; the clutter suppression module 5 is operated in conjunction with the coherent accumulation module 6, and is used for clutter suppression/coherent accumulation processing of the sampled digital signal; the compression reconstruction Module 7 is used to implement compression and reconstruction of the output signal after clutter suppression/coherent accumulation processing to obtain a reconstructed signal.
优选地,上述系统中所述输入模拟信号为雷达信号。Preferably, the input analog signal in the above system is a radar signal.
优选地,上述系统中所述雷达信号的压缩采样步骤为:Preferably, the compression sampling steps of the radar signal in the above system are:
步骤一,用一个模拟伪随机序列p(t)={1,-1}对雷达信号x(t)进行了混频,获得相应混频信号xp(t)=x(t)·p(t);所述伪随机序列p(t)的带宽与雷达信号x(t)的带宽相同;Step 1, the radar signal x(t) is mixed with an analog pseudo-random sequence p(t)={1,-1} to obtain the corresponding mixed signal x p (t)=x(t)·p( t); the bandwidth of the pseudo-random sequence p(t) is the same as the bandwidth of the radar signal x(t);
步骤二,利用低通滤波器h(t)对所述混频信号进行滤波,获得滤波信号xh(t)=x(t)*h(t);所述低通滤波器h(t)的带宽为Fs=500MHz;Step 2, using a low-pass filter h(t) to filter the mixed frequency signal to obtain a filtered signal x h (t)=x(t)*h(t); the low-pass filter h(t) The bandwidth is Fs=500MHz;
步骤三,利用低速ADC对输入模拟信号进行采样,获得采样数字信号y(m)=xh(mΔt1);Step 3, use the low-speed ADC to sample the input analog signal to obtain the sampled digital signal y(m)=x h (mΔt 1 );
所述低速ADC的采样频率与低通滤波器h(t)的带宽相同,其中,Δt1=1/Fs为低速ADC采样间隔;The sampling frequency of the low-speed ADC is the same as the bandwidth of the low-pass filter h(t), wherein Δt 1 =1/Fs is the sampling interval of the low-speed ADC;
步骤四,利用动目标指示器(MTI)和动目标检测(MTD)进行脉冲间杂波抑制/相参积累处理,获得信号:Step 4, use the moving target indicator (MTI) and moving target detection (MTD) to perform inter-pulse clutter suppression/coherent accumulation processing to obtain the signal:
ril′(m)=yl(m)-2yl+1(m)+yl+2(m)r il '(m)=y l (m)-2y l+1 (m)+y l+2 (m)
其中,所述动目标检测的相参积累点数为L=3;所述yl(m)为所述雷达信号在慢时间维上的第l个脉冲回波xl(t)的压缩采样结果;所述ril′(m)为对yl(m)进行二阶对消杂波抑制处理后的结果;r′dl(m)为对yl(m)进行相参积累处理的结果;Wnl为傅里叶变换算子;Wherein, the number of coherent accumulation points of the moving target detection is L=3; the y l (m) is the compressed sampling result of the lth pulse echo x l (t) of the radar signal on the slow time dimension ; The r il '(m) is the result of carrying out second-order anti-clutter suppression processing to y l (m); r' dl (m) is the result of coherent accumulation processing to y l (m); W nl is a Fourier transform operator;
步骤五,利用压缩重构算法对所述步骤四中处理后的所得信号进行压缩重构处理,得到重构信号x(n),所述重构信号x(n)的波形与正常奈奎斯特采样的雷达信号的脉冲压缩结果相同;重构矩阵Φ=H*P*F,其中,P为p(t)中的元素组成的对角阵,H为模拟低通滤波器h(t)的等效卷积矩阵,F为雷达的脉冲压缩矩阵;所述雷达信号脉冲压缩点数为I=64。Step 5, using the compression reconstruction algorithm to compress and reconstruct the signal obtained in step 4 to obtain a reconstructed signal x(n), the waveform of the reconstructed signal x(n) is the same as the normal Nyquis The pulse compression results of the extra-sampled radar signal are the same; the reconstruction matrix Φ=H*P*F, wherein, P is a diagonal matrix composed of elements in p(t), and H is an analog low-pass filter h(t) The equivalent convolution matrix of F is the pulse compression matrix of the radar; the number of pulse compression points of the radar signal is I=64.
优选地,所述雷达信号为线性调频信号,雷达信号脉宽为B=2GHz;所述雷达信号发送点数为N=64,脉冲发射频率为PRF=250MHz,载波频率为Fi=20GHz;所述雷达信号中包含的目标数量为K=2,杂波数量为Kc=4。Preferably, the radar signal is a linear frequency modulation signal, and the pulse width of the radar signal is B=2GHz; the number of transmission points of the radar signal is N=64, the pulse transmission frequency is PRF=250MHz, and the carrier frequency is Fi=20GHz; the radar signal The number of targets contained in the signal is K=2, and the number of clutters is Kc=4.
优选地,所述动目标指示器(MTI)采用双线延迟对消方式消除所述回波信号中的静止杂波;所述杂波抑制/相参积累处理在雷达信号的脉冲维上进行;所述压缩重构处理在雷达信号的距离维上进行;所述杂波抑制/相参积累处理针对所述雷达信号的不同条脉冲回波,对所述不同条脉冲回波进行联合处理;所述压缩重构处理针对所述雷达信号的单条脉冲回波,对所述单条回波中不同时间点上的分量进行处理。Preferably, the moving target indicator (MTI) adopts a two-line delay cancellation method to eliminate static clutter in the echo signal; the clutter suppression/coherent accumulation processing is performed on the pulse dimension of the radar signal; The compression and reconstruction process is performed on the distance dimension of the radar signal; the clutter suppression/coherent accumulation process is aimed at different pulse echoes of the radar signal, and the different pulse echoes are jointly processed; The compression and reconstruction process processes components at different time points in the single pulse echo of the radar signal.
优选地,所述雷达压缩采样系统包括解调器1、低通滤波器2、低速ADC3、脉冲串/并转换器4、杂波抑制模块5、相参积累模块6和压缩重构模块7;所述解调器1的信号输入端口即为所述系统信号输入端口,用以接收模拟输入信号;所述解调器1的信号输出端口与所述低通滤波器2的信号输入端口相连;所述低通滤波器2的信号输出端口与所述低速ADC3的信号输入端口相连;所述低速ADC3的信号输出端口与脉冲串/并转换器4的信号输入端口相连;所述脉冲串/并转换器4的信号输出端口与所述杂波抑制模块5的信号输入端口a1…an相连;所述杂波抑制模块5的信号输出端口与所述相参积累模块6的信号输入端口b1…bn一一对应相连;所述相参积累模块6的信号输出端口与所述压缩重构模块7的信号输入端口c相连;所述压缩重构模块7的信号输入端口d用于接收稀疏字典信号,所述压缩重构模块7的重构信号输出端口e即为所述系统的信号输出端口;Preferably, the radar compression sampling system includes a demodulator 1, a low-pass filter 2, a low-speed ADC3, a burst/parallel converter 4, a clutter suppression module 5, a coherent accumulation module 6 and a compression reconstruction module 7; The signal input port of the demodulator 1 is the system signal input port for receiving an analog input signal; the signal output port of the demodulator 1 is connected to the signal input port of the low-pass filter 2; The signal output port of the low-pass filter 2 is connected with the signal input port of the low-speed ADC3; the signal output port of the low-speed ADC3 is connected with the signal input port of the pulse train/parallel converter 4; the pulse train/parallel The signal output port of the converter 4 is connected to the signal input ports a 1 ... a n of the clutter suppression module 5; the signal output port of the clutter suppression module 5 is connected to the signal input port b of the coherent accumulation module 6 1 ... b n are connected in one-to-one correspondence; the signal output port of the coherent accumulation module 6 is connected to the signal input port c of the compression reconstruction module 7; the signal input port d of the compression reconstruction module 7 is used to receive Sparse dictionary signal, the reconstruction signal output port e of the compression reconstruction module 7 is the signal output port of the system;
所述解调器1用于伪随机序列与输入雷达信号的混频,获得混频信号;所述低通滤波器2用于滤除所述混频信号中的高频干扰信号;所述低速ADC3用于输入雷达信号进行采样,获得采样数字信号;所述杂波抑制模块5与相参积累模块6结合运行,用于采样数字信号的杂波抑制/相参积累处理;所述压缩重构模块7用于实现杂波抑制/相参积累处理后输出信号的压缩重构,获得重构信号;The demodulator 1 is used for mixing the pseudo-random sequence and the input radar signal to obtain a mixed frequency signal; the low-pass filter 2 is used to filter out high-frequency interference signals in the mixed frequency signal; the low-speed ADC3 is used to sample the input radar signal to obtain a sampled digital signal; the clutter suppression module 5 is operated in conjunction with the coherent accumulation module 6 for clutter suppression/coherent accumulation processing of the sampled digital signal; the compression reconstruction Module 7 is used to realize the compression and reconstruction of the output signal after clutter suppression/coherent accumulation processing, and obtain the reconstructed signal;
上述模块运行,具体步骤如下:The above modules are running, the specific steps are as follows:
步骤一,用一个模拟伪随机序列p(t)={1,-1}对雷达信号x(t)进行了混频,获得相应混频信号xp(t)=x(t)·p(t);所述伪随机序列p(t)的带宽与雷达信号x(t)的带宽相同;Step 1, the radar signal x(t) is mixed with an analog pseudo-random sequence p(t)={1,-1} to obtain the corresponding mixed signal x p (t)=x(t)·p( t); the bandwidth of the pseudo-random sequence p(t) is the same as the bandwidth of the radar signal x(t);
步骤二,利用低通滤波器h(t)对所述混频信号进行滤波,获得滤波信号xh(t)=x(t)*h(t);所述低通滤波器h(t)的带宽为Fs=500MHz;Step 2, using a low-pass filter h(t) to filter the mixed frequency signal to obtain a filtered signal x h (t)=x(t)*h(t); the low-pass filter h(t) The bandwidth is Fs=500MHz;
步骤三,利用低速ADC对输入模拟信号进行采样,获得采样数字信号y(m)=xh(mΔt1);Step 3, use the low-speed ADC to sample the input analog signal to obtain the sampled digital signal y(m)=x h (mΔt 1 );
所述低速ADC的采样频率与低通滤波器h(t)的带宽相同,其中,Δt1=1/Fs为低速ADC采样间隔;The sampling frequency of the low-speed ADC is the same as the bandwidth of the low-pass filter h(t), wherein Δt 1 =1/Fs is the sampling interval of the low-speed ADC;
步骤四,利用动目标指示器(MTI)和动目标检测(MTD)进行脉冲间杂波抑制/相参积累处理,获得信号:Step 4, use the moving target indicator (MTI) and moving target detection (MTD) to perform inter-pulse clutter suppression/coherent accumulation processing to obtain the signal:
ril′(m)=yl(m)-2yl+1(m)+yl+2(m)r il '(m)=y l (m)-2y l+1 (m)+y l+2 (m)
其中,所述动目标检测的相参积累点数为L=3;所述yl(m)为所述雷达信号在慢时间维上的第l个脉冲回波xl(t)的压缩采样结果;所述ril′(m)为对yl(m)进行二阶对消杂波抑制处理后的结果;r′dl(m)为对yl(m)进行相参积累处理的结果;Wnl为傅里叶变换算子;Wherein, the number of coherent accumulation points of the moving target detection is L=3; the y l (m) is the compressed sampling result of the lth pulse echo x l (t) of the radar signal on the slow time dimension ; The r il '(m) is the result of carrying out second-order anti-clutter suppression processing to y l (m); r' dl (m) is the result of coherent accumulation processing to y l (m); W nl is a Fourier transform operator;
步骤五,利用压缩重构算法对所述步骤四中处理后的所得信号进行压缩重构处理,得到重构信号x(n),所述重构信号x(n)的波形与正常奈奎斯特采样的雷达信号的脉冲压缩结果相同;重构矩阵Φ=H*P*F,其中,P为p(t)中的元素组成的对角阵,H为模拟低通滤波器h(t)的等效卷积矩阵,F为雷达的脉冲压缩矩阵;所述雷达信号脉冲压缩点数为I=64。Step 5, using the compression reconstruction algorithm to compress and reconstruct the signal obtained in step 4 to obtain a reconstructed signal x(n), the waveform of the reconstructed signal x(n) is the same as the normal Nyquis The pulse compression results of the extra-sampled radar signal are the same; the reconstruction matrix Φ=H*P*F, wherein, P is a diagonal matrix composed of elements in p(t), and H is an analog low-pass filter h(t) The equivalent convolution matrix of F is the pulse compression matrix of the radar; the number of pulse compression points of the radar signal is I=64.
本发明有益效果:Beneficial effects of the present invention:
1本发明提出的基于预脉冲间处理的雷达压缩采样方法及系统,很好地抑制了雷达压缩采样中的静止杂波分量,并提供了相参积累带来的信噪比增益,令雷达信号在多杂波与强噪声环境下的压缩重构概率得到了极大提升。1 The radar compression sampling method and system based on pre-pulse processing proposed by the present invention can well suppress the static clutter components in radar compression sampling, and provide the signal-to-noise ratio gain brought by coherent accumulation, so that the radar signal The probability of compression reconstruction in the environment of clutter and strong noise has been greatly improved.
2本发明提出的基于预脉冲间处理的雷达压缩采样方法及系统,降低了重构信号的稀疏度,减少可靠重构所需的采样点数。2 The radar compression sampling method and system based on inter-pulse processing proposed by the present invention reduces the sparsity of the reconstructed signal and reduces the number of sampling points required for reliable reconstruction.
3本发明提出的基于预脉冲间处理的雷达压缩采样技术,具有系统实现简单,复杂度低的优点。由于杂波抑制与相参积累技术均存在成熟的理论与算法,因此系统的复杂度低,易于实现。3 The radar compression sampling technology based on pre-pulse processing proposed by the present invention has the advantages of simple system implementation and low complexity. Since both clutter suppression and coherent accumulation technologies have mature theories and algorithms, the system has low complexity and is easy to implement.
附图说明Description of drawings
图1为本发明所述基于预脉冲间处理的雷达压缩采样方法及系统具体实现框图Fig. 1 is the specific implementation block diagram of the radar compression sampling method and system based on pre-pulse processing in the present invention
图2为本发明所述动目标指示器(MTI)双线性对消器结构示意图;Fig. 2 is the structural representation of moving target indicator (MTI) bilinear canceller of the present invention;
图3为动目标检测(MTD)杂波抑制/相参积累示意图;Fig. 3 is a schematic diagram of moving target detection (MTD) clutter suppression/coherent accumulation;
图4为雷达回波信号的距离维与脉冲维示意图;Fig. 4 is a schematic diagram of the distance dimension and the pulse dimension of the radar echo signal;
图5杂波抑制/相参积累处理之后的脉冲压缩信号与杂波抑制/相参积累处理之后的雷达压缩采样信号的重构结果进行了对比图;Figure 5 is a comparison diagram of the reconstruction results of the pulse compression signal after clutter suppression/coherent accumulation processing and the radar compressed sampling signal after clutter suppression/coherent accumulation processing;
(a,MTI仿真结果;b,MTD仿真结果)(a, MTI simulation results; b, MTD simulation results)
图6为基于预脉冲间处理的雷达压缩采样方法及系统与传统AIC系统在杂波环境下重构方法性能对比图;Figure 6 is a performance comparison diagram of the radar compression sampling method and system based on pre-pulse inter-processing and the reconstruction method of the traditional AIC system in the clutter environment;
图7为基于预脉冲间处理的雷达压缩采样方法及系统与传统AIC系统在噪声环境下的重构性能对比图。Fig. 7 is a comparison chart of reconstruction performance between the radar compression sampling method and system based on pre-pulse inter-processing and the traditional AIC system in a noisy environment.
具体实施方式Detailed ways
下面结合具体实施例对本发明做进一步说明,但本发明不受实施例的限制。The present invention will be further described below in conjunction with specific examples, but the present invention is not limited by the examples.
结合图1至图4对本发明所述基于预脉冲间处理的雷达压缩采样方法及系统进行详细说明:In conjunction with Fig. 1 to Fig. 4, the radar compression sampling method and system based on pre-pulse processing in the present invention are described in detail:
所述雷达信号的压缩采样步骤如下:The compressed sampling steps of the radar signal are as follows:
步骤一,用一个模拟伪随机序列p(t)={1,-1}对雷达信号x(t)进行了混频,获得相应混频信号xp(t)=x(t)·p(t);所述伪随机序列p(t)的带宽与雷达信号x(t)的带宽相同;所述雷达信号脉宽为B=2GHz;所述雷达信号发送点数为N=64,脉冲发射频率为PRF=250MHz,载波频率为Fi=20GHz;所述雷达信号中包含的目标数量为K=2,杂波数量为Kc=4。Step 1, the radar signal x(t) is mixed with an analog pseudo-random sequence p(t)={1,-1} to obtain the corresponding mixed signal x p (t)=x(t)·p( t); the bandwidth of the pseudo-random sequence p (t) is identical to the bandwidth of the radar signal x (t); the pulse width of the radar signal is B=2GHz; the number of sending points of the radar signal is N=64, and the pulse transmission frequency PRF=250MHz, carrier frequency Fi=20GHz; the number of targets contained in the radar signal is K=2, and the number of clutter is Kc=4.
混频步骤将输入模拟信号x(t)所有频率的能量铺展到x(t)的整个宽带内,以防止欠采样造成频率信息的丢失,同时为稀疏重构提供必要的采样矩阵的随机性;The frequency mixing step spreads the energy of all frequencies of the input analog signal x(t) to the entire bandwidth of x(t), so as to prevent the loss of frequency information caused by undersampling, and at the same time provide the necessary randomness of the sampling matrix for sparse reconstruction;
步骤二,利用低通滤波器h(t)对所述混频信号进行滤波,获得滤波信号xh(t)=x(t)*h(t);所述低通滤波器h(t)的带宽为Fs=500MHz;Step 2, using a low-pass filter h(t) to filter the mixed frequency signal to obtain a filtered signal x h (t)=x(t)*h(t); the low-pass filter h(t) The bandwidth is Fs=500MHz;
步骤三,利用低速ADC对输入模拟信号进行采样,获得采样数字信号y(m)=xh(mΔt1);Step 3, use the low-speed ADC to sample the input analog signal to obtain the sampled digital signal y(m)=x h (mΔt 1 );
所述低速ADC的采样频率与低通滤波器h(t)的带宽相同,其中,Δt1=1/Fs为低速ADC采样间隔;The sampling frequency of the low-speed ADC is the same as the bandwidth of the low-pass filter h(t), wherein Δt 1 =1/Fs is the sampling interval of the low-speed ADC;
步骤四,对采样后的数字信号用双线延迟对消MTI与相参积累点数为L=32的MTD进行脉冲间杂波抑制/相参积累处理:Step 4, perform inter-pulse clutter suppression/coherent accumulation processing on the sampled digital signal with two-line delay cancellation MTI and MTD with coherent accumulation points L=32:
ril′(m)=yl(m)-2yl+1(m)+yl+2(m)r il '(m)=y l (m)-2y l+1 (m)+y l+2 (m)
其中,所述动目标检测的相参积累点数为L=3;所述yl(m)为所述雷达信号在慢时间维上的第l个脉冲回波xl(t)的压缩采样结果;所述ril′(m)为对yl(m)进行二阶对消杂波抑制处理后的结果;r′dl(m)为对yl(m)进行相参积累处理的结果;Wnl为傅里叶变换算子;Wherein, the number of coherent accumulation points of the moving target detection is L=3; the y l (m) is the compressed sampling result of the lth pulse echo x l (t) of the radar signal on the slow time dimension ; The r il '(m) is the result of carrying out second-order anti-clutter suppression processing to y l (m); r' dl (m) is the result of coherent accumulation processing to y l (m); W nl is a Fourier transform operator;
步骤五,利用压缩重构算法对所述步骤四中处理后的所得信号进行压缩重构处理,得到重构信号x(n),所述重构信号x(n)的波形与正常奈奎斯特采样的雷达信号的脉冲压缩结果相同;重构矩阵Φ=H*P*F,其中,P为p(t)中的元素组成的对角阵,H为模拟低通滤波器h(t)的等效卷积矩阵,F为雷达的脉冲压缩矩阵;所述雷达信号脉冲压缩点数为I=64。Step 5, using the compression reconstruction algorithm to compress and reconstruct the signal obtained in step 4 to obtain a reconstructed signal x(n), the waveform of the reconstructed signal x(n) is the same as the normal Nyquis The pulse compression results of the extra-sampled radar signal are the same; the reconstruction matrix Φ=H*P*F, wherein, P is a diagonal matrix composed of elements in p(t), and H is an analog low-pass filter h(t) The equivalent convolution matrix of F is the pulse compression matrix of the radar; the number of pulse compression points of the radar signal is I=64.
一种用于实现上述方法的系统,所述系统包括解调器1、低通滤波器2、低速ADC3、脉冲串/并转换器4、杂波抑制模块5、相参积累模块6和压缩重构模块7;所述解调器1的信号输入端口即为所述系统信号输入端口,用以接收模拟输入信号;所述解调器1的信号输出端口与所述低通滤波器2的信号输入端口相连;所述低通滤波器2的信号输出端口与所述低速ADC3的信号输入端口相连;所述低速ADC3的信号输出端口与脉冲串/并转换器4的信号输入端口相连;所述脉冲串/并转换器4的信号输出端口与所述杂波抑制模块5的信号输入端口a1…an相连;所述杂波抑制模块5的信号输出端口与所述相参积累模块6的信号输入端口b1…bn一一对应相连;所述相参积累模块6的信号输出端口与所述压缩重构模块7的信号输入端口c相连;所述压缩重构模块7的信号输入端口d用于接收稀疏字典信号,所述压缩重构模块7的重构信号输出端口e即为所述系统的信号输出端口;A system for realizing the above method, the system includes a demodulator 1, a low-pass filter 2, a low-speed ADC3, a pulse train/parallel converter 4, a clutter suppression module 5, a coherent accumulation module 6 and a compression heavy Constructing module 7; The signal input port of described demodulator 1 is exactly described system signal input port, in order to receive analog input signal; The signal output port of described demodulator 1 and the signal of described low-pass filter 2 The input port is connected; the signal output port of the low-pass filter 2 is connected with the signal input port of the low-speed ADC3; the signal output port of the low-speed ADC3 is connected with the signal input port of the pulse train/parallel converter 4; the The signal output port of the burst/parallel converter 4 is connected to the signal input ports a 1 ... a n of the clutter suppression module 5; the signal output port of the clutter suppression module 5 is connected to the coherent accumulation module 6 The signal input ports b 1 ... b n are connected in one-to-one correspondence; the signal output port of the coherent accumulation module 6 is connected to the signal input port c of the compression reconstruction module 7; the signal input port of the compression reconstruction module 7 D is used for receiving the sparse dictionary signal, and the reconstruction signal output port e of the compression reconstruction module 7 is the signal output port of the system;
所述解调器1用于伪随机序列与输入模拟信号的混频,获得混频信号;所述低通滤波器2用于滤除所述混频信号中的高频干扰信号;所述低速ADC3用于输入模拟信号进行采样,获得采样数字信号;所述杂波抑制模块5与相参积累模块6结合运行,用于采样数字信号的杂波抑制/相参积累处理;所述压缩重构模块7用于实现杂波抑制/相参积累处理后的输出信号的压缩重构,获得重构信号。The demodulator 1 is used for mixing the pseudo-random sequence and the input analog signal to obtain a mixed frequency signal; the low-pass filter 2 is used to filter out high-frequency interference signals in the mixed frequency signal; the low-speed ADC3 is used to sample the input analog signal to obtain a sampled digital signal; the clutter suppression module 5 is operated in conjunction with the coherent accumulation module 6, and is used for clutter suppression/coherent accumulation processing of the sampled digital signal; the compression reconstruction Module 7 is used to implement compression and reconstruction of the output signal after clutter suppression/coherent accumulation processing to obtain a reconstructed signal.
所述雷达压缩采样系统包括解调器1、低通滤波器2、低速ADC3、脉冲串/并转换器4、杂波抑制模块5、相参积累模块6和压缩重构模块7;所述解调器1的信号输入端口即为所述系统信号输入端口,用以接收模拟输入信号;所述解调器1的信号输出端口与所述低通滤波器2的信号输入端口相连;所述低通滤波器2的信号输出端口与所述低速ADC3的信号输入端口相连;所述低速ADC3的信号输出端口与脉冲串/并转换器4的信号输入端口相连;所述脉冲串/并转换器4的信号输出端口与所述杂波抑制模块5的信号输入端口a1…an相连;所述杂波抑制模块5的信号输出端口与所述相参积累模块6的信号输入端口b1…bn一一对应相连;所述相参积累模块6的信号输出端口与所述压缩重构模块7的信号输入端口c相连;所述压缩重构模块7的信号输入端口d用于接收稀疏字典信号,所述压缩重构模块7的重构信号输出端口e即为所述系统的信号输出端口;The radar compression sampling system includes a demodulator 1, a low-pass filter 2, a low-speed ADC3, a pulse train/parallel converter 4, a clutter suppression module 5, a coherent accumulation module 6 and a compression reconstruction module 7; The signal input port of the modulator 1 is the system signal input port for receiving the analog input signal; the signal output port of the demodulator 1 is connected with the signal input port of the low-pass filter 2; The signal output port of the pass filter 2 is connected with the signal input port of the low-speed ADC3; the signal output port of the low-speed ADC3 is connected with the signal input port of the pulse series/parallel converter 4; the pulse series/parallel converter 4 The signal output port of the clutter suppression module 5 is connected to the signal input port a 1 ... a n ; the signal output port of the clutter suppression module 5 is connected to the signal input port b 1 ... b of the coherent accumulation module 6 n is connected in one-to-one correspondence; the signal output port of the coherent accumulation module 6 is connected with the signal input port c of the compression reconstruction module 7; the signal input port d of the compression reconstruction module 7 is used to receive the sparse dictionary signal , the reconstruction signal output port e of the compression reconstruction module 7 is the signal output port of the system;
所述解调器1用于伪随机序列与输入雷达信号的混频,获得混频信号;所述低通滤波器2用于滤除所述混频信号中的高频干扰信号;所述低速ADC3用于输入雷达信号进行采样,获得采样数字信号;所述杂波抑制模块5与相参积累模块6结合运行,用于采样数字信号的杂波抑制/相参积累处理;所述压缩重构模块7用于实现杂波抑制/相参积累处理后输出信号的压缩重构,获得重构信号;The demodulator 1 is used for mixing the pseudo-random sequence and the input radar signal to obtain a mixed frequency signal; the low-pass filter 2 is used to filter out high-frequency interference signals in the mixed frequency signal; the low-speed ADC3 is used to sample the input radar signal to obtain a sampled digital signal; the clutter suppression module 5 is operated in conjunction with the coherent accumulation module 6 for clutter suppression/coherent accumulation processing of the sampled digital signal; the compression reconstruction Module 7 is used to realize the compression and reconstruction of the output signal after clutter suppression/coherent accumulation processing, and obtain the reconstructed signal;
结合图2至图4,对本发明提出的基于预脉冲间处理的雷达压缩采样方法的理论依据进行说明:In conjunction with Fig. 2 to Fig. 4, the theoretical basis of the radar compression sampling method based on pre-pulse processing proposed by the present invention is described:
雷达系统采用基于动目标指示器(MovingTargetIndicator,MTI)的杂波抑制与基于动目标检测(MovingTargetDetection,MTD)的相参积累等脉间处理对抗雷达信号中的杂波和噪声。MTI雷达利用动目标回波的多普勒频移来区分回波信号中的动目标和静止杂波。在脉冲雷达系统中,这一多普勒频移表现为相继返回的雷达脉冲间回波信号的相位变化。利用这种相位变化,MTI雷达使用延迟对消器来消除回波信号中的静止杂波,并保留动目标的部分能量:The radar system uses inter-pulse processing such as clutter suppression based on Moving Target Indicator (MTI) and coherent accumulation based on Moving Target Detection (MTD) to combat clutter and noise in radar signals. MTI radar uses the Doppler frequency shift of the moving target echo to distinguish the moving target and stationary clutter in the echo signal. In pulsed radar systems, this Doppler shift appears as a phase change in the echo signal between successively returning radar pulses. Taking advantage of this phase change, the MTI radar uses a delay canceller to remove stationary clutter from the echo signal and preserve some of the energy of the moving target:
ril(n)=xl(n)-2xl+1(n)+xl+2(n)r il (n)=x l (n)-2x l+1 (n)+x l+2 (n)
在经过延迟对消器后,雷达回波信号不同脉冲中相位相同的静止杂波被完全消去,而相位不同的动目标则保留了一部分能量。通过这种对消,MTI系统能够消除回波信号中的静止杂波,从而有效地降低压缩采样重构信号的稀疏度,提高雷达压缩采样系统的采样效率。After passing through the delay canceller, the static clutter with the same phase in different pulses of the radar echo signal is completely eliminated, while the moving targets with different phases retain part of their energy. Through this cancellation, the MTI system can eliminate the static clutter in the echo signal, thereby effectively reducing the sparsity of the compressed sampling reconstructed signal and improving the sampling efficiency of the radar compressed sampling system.
压缩采样技术工作在噪声环境中时,需要其探测的稀疏位置峰值与噪声分量相比有明显的幅值区别。传统的雷达压缩采样系统依靠脉冲压缩对目标信号的信噪比增益来满足这一需求。但是,当雷达回波信号的信噪比较低时,单纯的脉冲压缩往往无法满足信号压缩重构对信噪比的需求。此时,目标信号会被噪声淹没,从而丧失压缩感知所需的稀疏性。When the compressed sampling technique works in a noisy environment, it is required that the detected sparse peaks have obvious amplitude differences compared with the noise components. Conventional radar compression sampling systems rely on pulse compression for signal-to-noise ratio gain on the target signal to meet this requirement. However, when the signal-to-noise ratio of the radar echo signal is low, simple pulse compression often cannot meet the signal-to-noise ratio requirements of signal compression and reconstruction. At this point, the target signal will be overwhelmed by noise, thus losing the sparsity required for compressive sensing.
传统的雷达信号处理通常利用相参积累技术为雷达信号提供更多的信噪比增益。即对雷达信号的多个回波脉冲进行积累,在照射功率一定的情况下通过增加照射时间获得更多的反射能量。目前应用最广的相参积累技术是MTD技术。MTD的实现是使用多普勒滤波器组。每个多普勒滤波器的通带覆盖一定频率区域,从各滤波器的输出就可以判断该频率范围内是否有动目标,并能测量动目标的速度。MTD改善了MTI滤波器的频率特性,使之更接近于最佳(匹配)线性滤波,以此提高改善因子。当目标的多普勒频移与多普勒滤波器的中心频带接近时,目标的加权因子能够消除各回波脉冲之间的相位差,使各个脉冲中的信号能量进行同相叠加,从而获得信噪比增益。在实际的工程应用中,MTD的多普勒滤波器组可以用一个FFT来实现:Traditional radar signal processing usually utilizes coherent accumulation technique to provide more SNR gain for radar signal. That is to accumulate multiple echo pulses of the radar signal, and obtain more reflected energy by increasing the irradiation time under a certain irradiation power. Currently the most widely used coherent accumulation technique is MTD technique. MTD is implemented using a Doppler filter bank. The passband of each Doppler filter covers a certain frequency range, and the output of each filter can determine whether there is a moving target in the frequency range, and can measure the speed of the moving target. MTD improves the frequency characteristics of the MTI filter, making it closer to the optimal (matched) linear filter, thereby increasing the improvement factor. When the Doppler frequency shift of the target is close to the central frequency band of the Doppler filter, the weighting factor of the target can eliminate the phase difference between each echo pulse, so that the signal energy in each pulse can be superimposed in phase, thereby obtaining the signal-to-noise ratio gain. In practical engineering applications, the Doppler filter bank of MTD can be realized with an FFT:
在雷达信号处理中,脉冲压缩和重构与杂波抑制/相参积累是分别在两个维度(距离维和脉冲维)上分别进行的。即脉冲压缩与重构针对的是单个脉冲回波,对回波中不同时间点上的分量进行处理。而杂波抑制/相参积累则是针对不同的脉冲回波进行联合处理。设xl(t)为雷达信号在慢时间维上的第l个脉冲回波,yl(m)为xl(t)的压缩采样结果,根据上文提到的AIC采样系统,yl(m)与xl(t)的关系如下:In radar signal processing, pulse compression and reconstruction and clutter suppression/coherent accumulation are respectively carried out in two dimensions (range dimension and pulse dimension). That is, pulse compression and reconstruction are aimed at a single pulse echo, and the components at different time points in the echo are processed. The clutter suppression/coherent accumulation is for joint processing of different pulse echoes. Let x l (t) be the lth pulse echo of the radar signal in the slow time dimension, and y l (m) be the compressed sampling result of x l (t). According to the AIC sampling system mentioned above, y l The relationship between (m) and x l (t) is as follows:
设ril(m)为对xl(t)进行杂波抑制处理的结果,ril′(m)为对yl(m)进行二阶对消杂波抑制处理的结果,xl(τ)为xl(t)在累加算式中的表示,得到:Let r il (m) be the result of clutter suppression processing on x l (t), r il ′(m) is the result of second-order cancellation clutter suppression processing on y l (m), x l (τ ) is the representation of x l (t) in the cumulative formula, and we get:
由上式可以看出,杂波抑制处理之后的雷达压缩采样信号的重构结果,与经过杂波抑制处理的脉冲压缩信号是相同的。It can be seen from the above formula that the reconstruction result of the radar compressed sampling signal after clutter suppression processing is the same as the pulse compression signal processed by clutter suppression.
同理,设rdl(m)为对xl(t)进行L点相参积累处理的结果,r′dl(m)为对yl(m)进行相参积累处理的结果,可以得到:Similarly, let r dl (m) be the result of L-point coherent accumulation processing on x l (t), and r′ dl (m) be the result of coherent accumulation processing on y l (m), we can get:
这个结果与前面的杂波抑制处理类似。可以看出,相参积累处理之后的雷达压缩采样信号的重构结果,与经过相参积累处理的脉冲压缩信号也是相同的。This result is similar to the previous clutter suppression process. It can be seen that the reconstruction result of the radar compressed sampling signal after coherent accumulation processing is the same as that of the pulse compression signal processed by coherent accumulation.
结合图5至图7说明本实施方式所述转换方法及系统的有效性,具体仿真实例及分析如下:In conjunction with Fig. 5 to Fig. 7, the effectiveness of the conversion method and system described in this embodiment is illustrated, and the specific simulation examples and analysis are as follows:
图5为杂波抑制/相参积累处理之后的脉冲压缩信号与杂波抑制/相参积累处理之后的雷达压缩采样信号的重构结果进行了对比图。仿真所使用的模拟信号信号为包含2个动目标和4个静止杂波的雷达回波信号,对此信号的脉冲压缩信号与压缩采样的结果分别进行单独的杂波抑制与杂波抑制/相参积累处理之后,将脉冲压缩信号的波形与压缩采样信号的重构结果进行对比。Fig. 5 is a comparison diagram of the reconstruction result of the pulse compression signal after clutter suppression/coherent accumulation processing and the radar compressed sampling signal after clutter suppression/coherent accumulation processing. The analog signal signal used in the simulation is a radar echo signal containing 2 moving targets and 4 stationary clutters. The pulse compression signal of this signal and the result of compressed sampling are separately clutter suppression and clutter suppression/phase After parameter accumulation processing, the waveform of the pulse compression signal is compared with the reconstruction result of the compressed sampling signal.
其中,星号标示为脉冲压缩信号的波形,圆圈标示为压缩采样信号的重构结果。Wherein, the asterisk indicates the waveform of the pulse compression signal, and the circle indicates the reconstruction result of the compressed sampling signal.
仿真结果证明了直接对雷达压缩采样进行杂波抑制/相参积累处理可以实现抑制信号中的杂波、增加信号的重构信噪比和降低稀疏度的效果。由仿真结果中可以看出,重构结果中包含2个动目标和4个静止杂波的原信号在经过杂波抑制处理之后,其重构结果中只剩下2个动目标的能量,静止杂波分量的能量几乎被完全消除。信号在进一步进行相参积累处理之后,将L个回波脉冲中的能量通过相参积累累积在一起,不仅获得了L倍的信噪比增益,并且将重构信号的稀疏度降低了L倍。The simulation results prove that the clutter suppression/coherent accumulation processing directly on the radar compressed sampling can suppress the clutter in the signal, increase the reconstructed signal-to-noise ratio of the signal, and reduce the sparsity. It can be seen from the simulation results that after the reconstruction of the original signal containing 2 moving targets and 4 stationary clutters, only the energy of 2 moving targets remains in the reconstruction result after the clutter suppression processing, and the energy of the stationary The energy of the noise components is almost completely eliminated. After the signal is further processed by coherent accumulation, the energy in the L echo pulses is accumulated together through coherent accumulation, which not only obtains an L-fold signal-to-noise ratio gain, but also reduces the sparsity of the reconstructed signal by an L-fold .
图6为在杂波环境下,传统AIC雷达压缩采样系统与本发明所提的基于预杂波抑制/相参积累的雷达压缩采样系统在不同欠采样倍数下的重构概率曲线。从图7中可以看出,本发明所提系统在杂波环境下的重构性能大大高于传统AIC系统。同时还应注意,在实际环境中,雷达回波信号中包含的杂波数量通常远不止仿真中设定的数量。在这样的情况下,本文所提系统与AIC系统的性能差距将会进一步的提高。Fig. 6 is the reconstruction probability curves of the traditional AIC radar compressed sampling system and the radar compressed sampling system based on pre-clutter suppression/coherent accumulation proposed by the present invention under different under-sampling multiples in a clutter environment. It can be seen from Fig. 7 that the reconstruction performance of the proposed system in the present invention is much higher than that of the traditional AIC system in the clutter environment. At the same time, it should also be noted that in the actual environment, the amount of clutter contained in the radar echo signal is usually far more than the amount set in the simulation. Under such circumstances, the performance gap between the system proposed in this paper and the AIC system will be further improved.
图7为采样频率为采样频率为Fs=500MHz时,传统AIC雷达压缩采样系统与本发明所提的基于预杂波抑制/相参积累的雷达压缩采样系统在不同输入信噪比下的重构概率曲线。从图7中可以看出,本发明所提方法在低信噪比环境下的重构性能远高于传统AIC系统。Fig. 7 is when the sampling frequency is that the sampling frequency is Fs=500MHz, the traditional AIC radar compression sampling system and the radar compression sampling system based on pre-clutter suppression/coherent accumulation proposed by the present invention are reconstructed under different input signal-to-noise ratios probability curve. It can be seen from Fig. 7 that the reconstruction performance of the proposed method in the present invention is much higher than that of the traditional AIC system in a low SNR environment.
虽然本发明已以较佳的实施例公开如上,但其并非用以限定本发明,任何熟悉此技术的人,在不脱离本发明的精神和范围内,都可以做各种改动和修饰,因此本发明的保护范围应该以权利要求书所界定的为准。Although the present invention has been disclosed above with preferred embodiments, it is not intended to limit the present invention. Any person familiar with this technology can make various changes and modifications without departing from the spirit and scope of the present invention. Therefore The scope of protection of the present invention should be defined by the claims.
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CN105527614A (en) * | 2016-02-29 | 2016-04-27 | 南京理工大学 | LFM pulse radar anti-DRFM-interference method based on moving target detection |
CN106908771A (en) * | 2017-02-15 | 2017-06-30 | 中国人民解放军国防科学技术大学 | Pulse radar target acquisition analogy method in microwave dark room |
CN106908771B (en) * | 2017-02-15 | 2019-10-11 | 中国人民解放军国防科学技术大学 | Simulation Method of Pulse System Radar Target Detection in Microwave Anechoic Chamber |
CN109061626A (en) * | 2018-07-19 | 2018-12-21 | 武汉滨湖电子有限责任公司 | A kind of method that Step Frequency coherent processing detects low signal to noise ratio moving-target |
CN109061626B (en) * | 2018-07-19 | 2022-06-28 | 武汉滨湖电子有限责任公司 | Method for detecting low signal-to-noise ratio moving target by step frequency coherent processing |
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