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
本发明公开了一种基于多维域编码的阵列雷达抗主瓣干扰方法及系统,包括获取接收信号,并对所述接收信号进行混频,得到混频后的信号;依次对所述混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号;根据脉冲压缩后的信号、干扰信号和噪声得到接收总信号;根据所述接收总信号得到干扰抑制结果。本发明采用多维域编码的雷达新体制,相较EPC‑MIMO雷达体制,使用多普勒调制实现雷达发射波形分离,克服了在干扰功率很高时EPC‑MIMO雷达正交性无法满足要求的缺点,提高了MIMO雷达的抗干扰能力。
The present invention discloses a method and system for array radar anti-mainlobe interference based on multi-dimensional domain coding, including obtaining a received signal, mixing the received signal to obtain a mixed signal; 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; obtaining a total received signal according to the pulse compressed signal, interference signal and noise; and obtaining an interference suppression result according to the total received signal. The present invention adopts a new radar system of multi-dimensional domain coding. Compared with the EPC-MIMO radar system, Doppler modulation is used to achieve radar transmission waveform separation, which overcomes the disadvantage that the orthogonality of the EPC-MIMO radar cannot meet the requirements when the interference power is very high, and improves the anti-interference ability of the MIMO radar.
Description
技术领域Technical Field
本发明属于雷达技术领域,具体涉及一种基于多维域编码的阵列雷达抗主瓣干扰方法及系统。The present invention belongs to the field of radar technology, and in particular relates to a method and system for array radar main lobe interference resistance based on multi-dimensional domain coding.
背景技术Background technique
Lan Lan等人在其发表的论文“Mainlobe interference suppression withelement-pulse conding MIMO radar”中研究了基于EPC-MIMO(Element Pulse Coding-Multiple Input Multiple Output,阵元-脉冲编码多输入多输出)雷达的主瓣欺骗式干扰抑制方法,通过发射正交编码波形来实现波形分离,并且围绕阵元-脉冲进行编码实现了主瓣欺骗式干扰的抑制。Lan Lan et al. studied the mainlobe interference suppression method based on EPC-MIMO (Element Pulse Coding-Multiple Input Multiple Output) radar in their paper "Mainlobe interference suppression with element-pulse conding MIMO radar". The waveform separation was achieved by transmitting orthogonal coded waveforms, and the mainlobe interference suppression was achieved by coding around the element-pulse.
现有基于阵元-脉冲编码的EPC-MIMO雷达通过发射正交编码波形,并通过在接收端进行匹配滤波的方式实现波形分离,然而当转发干扰的功率足够大时,依靠正交编码波形的正交性则无法实现干扰信号的分离,由此会导致EPC-MIMO雷达抗干扰能力失效,此外,EPC-MIMO雷达只能抑制来自于不同距离模糊区间的干扰信号,对与目标回波的距离模糊区间相同的干扰的抑制能力不足。The existing EPC-MIMO radar based on element-pulse coding transmits orthogonal coded waveforms and realizes waveform separation by matching filtering at the receiving end. However, when the power of the forwarded interference is large enough, the orthogonality of the orthogonal coded waveform cannot be used to separate the interference signal, which will cause the EPC-MIMO radar's anti-interference capability to fail. In addition, the EPC-MIMO radar can only suppress interference signals from different range ambiguity intervals, and has insufficient ability to suppress interference with the same range ambiguity interval as the target echo.
发明内容Summary of the invention
为了解决现有技术中所存在的上述问题,本发明提供了一种基于多维域编码的阵列雷达抗主瓣干扰方法及系统。In order to solve the above problems existing in the prior art, the present invention provides a method and system for array radar anti-main lobe interference based on multi-dimensional domain coding.
本发明要解决的技术问题通过以下技术方案实现:The technical problem to be solved by the present invention is achieved through the following technical solutions:
本发明提供一种基于多维域编码的阵列雷达抗主瓣干扰方法,所述阵列雷达抗主瓣干扰方法包括:The present invention provides an array radar anti-main lobe interference method based on multi-dimensional domain coding, and the array radar anti-main lobe interference method comprises:
获取接收信号,并对所述接收信号进行混频,得到混频后的信号,其中,所述混频后的信号包括个混频后的子脉冲,N为接收阵元的总数量,K为脉冲的总数量,L为一个脉冲内子脉冲的总数量;Acquire a received signal, and mix the received signal to obtain a mixed signal, wherein the mixed signal includes sub-pulses after mixing, 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 a pulse;
依次对所述混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号;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;
根据脉冲压缩后的信号、干扰信号和噪声得到接收总信号;The total received signal is obtained according to the pulse compressed signal, the interference signal and the noise;
根据所述接收总信号得到干扰抑制结果。An interference suppression result is obtained according to the received total signal.
可选地,所述混频后的子脉冲表示为:Optionally, the mixed sub-pulse is expressed as:
; ;
其中,为进行混频后的第/>个接收阵元接收到的第/>个脉冲的第/>个子脉冲,/>为点目标的复幅度,/>为载频,/>,/>为点目标和雷达之间的距离,/>为光速,为发射阵元的总数量,/>为第/>个发射阵元发射的波形,/>为快时间,/>为编码系数,/>,/>为脉冲延迟数,/>为阵元间距,/>为点目标和雷达之间的角度,/>为波长,/>为目标多普勒频率,/>,/>为目标速度,/>为脉冲重复周期,/>,/>,,/>。in, For the mixed / > The receiving element receives the first /> The first pulse of sub-pulses,/> is the complex amplitude of the point target, /> is the carrier frequency, /> ,/> is the distance between the point target and the radar, /> is the speed of light, is the total number of transmitting array elements, /> For the first/> The waveform transmitted by the transmitting array element, /> For quick time, /> is the coding coefficient, /> ,/> is the pulse delay number, /> is the array element spacing, /> is the angle between the point target and the radar, /> is the wavelength, /> is the target Doppler frequency, /> ,/> is the target speed, /> is the pulse repetition period, /> ,/> , ,/> .
可选地,依次对所述混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号,包括:Optionally, the mixed signal is subjected to slow-time phase compensation, discrete Fourier transform, signal separation and pulse compression processing in sequence to obtain a pulse compressed signal, including:
对所述混频后的信号进行慢时间相位补偿,得到补偿后的信号;Performing slow time phase compensation on the mixed signal to obtain a compensated signal;
对所述补偿后的信号在慢时间进行离散傅里叶变换,得到变换后的信号;Performing discrete Fourier transform on the compensated signal in slow time to obtain a transformed signal;
使用通带为的低通滤波器对所述变换后的信号进行滤波,得到滤波后的信号,其中,/>为脉冲重复频率,/>为发射阵元的总数量;Use the passband The transformed signal is filtered by a low-pass filter to obtain a filtered signal, wherein: is the pulse repetition frequency, /> is the total number of transmitting array elements;
对所述滤波后的信号进行逆离散傅里叶变换,得到逆变换后的信号;Performing an inverse discrete Fourier transform on the filtered signal to obtain an inverse transformed signal;
根据所述逆变换后的信号得到分离后的信号;Obtaining a separated signal according to the inverse transformed signal;
将所有分离后的信号堆叠为一个维的矢量,得到堆叠后的信号;Stack all separated signals into one dimensional vector to obtain the stacked signal;
对所述堆叠后的信号进行快时间相位补偿,得到快时间相位补偿后的信号;Performing fast time phase compensation on the stacked signal to obtain a fast time phase compensated signal;
对所述快时间相位补偿后的信号进行脉冲压缩,得到脉冲压缩后的信号。Pulse compression is performed on the signal after the fast time phase compensation to obtain a pulse compressed signal.
可选地,所述补偿后的信号表示为:Optionally, the compensated signal is expressed as:
; ;
其中,为对第/>个发射阵元进行补偿后的第/>个接收阵元接收到的第k个脉冲的第/>个子脉冲,/>为点目标的复幅度,/>为载频,/>,/>为点目标和雷达之间的距离,/>为光速,/>为点目标和雷达之间的角度,/>为阵元间距,/>为目标多普勒频率,,/>为目标速度,/>为波长,/>为脉冲重复周期,/>为第/>个发射阵元发射的波形,/>为快时间,/>为脉冲延迟数,/>为编码系数,/>,/>,/>,,/>,/>。in, For the first/> The first/> after the compensation of the transmitting array element The kth pulse received by the receiving array element is sub-pulses,/> is the complex amplitude of the point target, /> is the carrier frequency, /> ,/> is the distance between the point target and the radar, /> is the speed of light, /> is the angle between the point target and the radar, /> is the array element spacing, /> is the target Doppler frequency, ,/> is the target speed, /> is the wavelength, /> is the pulse repetition period, /> For the first/> The waveform transmitted by the transmitting array element, /> For quick time, /> is the pulse delay number, /> is the coding coefficient, /> ,/> ,/> , ,/> ,/> .
可选地,所述滤波后的信号表示为:Optionally, the filtered signal is expressed as:
; ;
其中,为频率滤波后得到的第/>个接收阵元接收到的第m个发射阵元发射的第/>个子脉冲,/>为多普勒通道序号,/>,,/>为转置,/>为低通滤波器的第/>个元素;in, is the first one obtained after frequency filtering/> The mth transmitting element transmitted by the mth transmitting element is received by the mth receiving element/> sub-pulses,/> is the Doppler channel number, /> , ,/> is transposed,/> For the low-pass filter elements;
所述分离后的信号表示为:The separated signal is expressed as:
; ;
其中,为分离后的第/>个接收阵元接收到的第m个发射阵元发射的第k个脉冲的第/>个子脉冲。in, After separation, The kth pulse transmitted by the mth transmitting element is received by the receiving element. sub-pulses.
可选地,所述快时间相位补偿后的信号表示为:Optionally, the signal after the fast time phase compensation is expressed as:
; ;
其中,为对N个接收阵元接收到的第/>个脉冲的第/>个子脉冲进行快时间相位补偿后的信号,/>为N个接收阵元接收到的第/>个脉冲的第/>个子脉冲的堆叠信号,为将向量转换为对角矩阵,/>为快时间相位补偿矢量,/>,为/>维列向量,/>,/>,/>,,/>为点乘,/>,/>为克罗内克积。in, The first / > received by N receiving array elements The first pulse of The signal after fast time phase compensation of sub-pulses,/> The first / > received by N receiving array elements The first pulse of The stacked signal of sub-pulses, To convert a vector into a diagonal matrix, /> is the fast time phase compensation vector,/> , For/> dimension column vector, /> ,/> ,/> , ,/> is the dot product, /> ,/> is the Kronecker product.
可选地,所述脉冲压缩后的信号表示为:Optionally, the pulse compressed signal is expressed as:
; ;
其中,为对/>个脉冲进行脉冲压缩后的第/>个子脉冲,/>,。in, For/> The pulse is compressed after the first pulse/> sub-pulses,/> , .
可选地,所述接收总信号表示为:Optionally, the received total signal is expressed as:
; ;
其中,为接收总信号,/>为干扰信号,/>,/>为干扰信号幅度,/>,/>,,/>,/>为干扰信号的Doppler向量,/>,,/>为干扰信号的调制速度,/>为噪声。in, To receive the total signal, /> is the interference signal,/> ,/> is the interference signal amplitude, /> ,/> , ,/> ,/> is the Doppler vector of the interference signal, /> , ,/> is the modulation speed of the interference signal, /> For noise.
可选地,所述干扰抑制结果表示为:Optionally, the interference suppression result is expressed as:
; ;
其中,为干扰抑制结果,/>,/>为共轭转置操作,为采样协方差矩阵,/>。in, is the interference suppression result,/> ,/> is the conjugate transpose operation, is the sampling covariance matrix,/> .
本发明还提供一种基于多维域编码的阵列雷达抗主瓣干扰系统,所述阵列雷达抗主瓣干扰系统包括:The present invention also provides an array radar anti-main lobe interference system based on multi-dimensional domain coding, and the array radar anti-main lobe interference system comprises:
混频模块,用于获取接收信号,并对所述接收信号进行混频,得到混频后的信号,其中,所述混频后的信号包括个混频后的子脉冲,N为接收阵元的总数量,K为脉冲的总数量,L为一个脉冲内子脉冲的总数量;A mixing module is used to obtain a received signal and mix the received signal to obtain a mixed signal, wherein the mixed signal includes sub-pulses after mixing, 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 a pulse;
处理模块,用于依次对所述混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号;A processing module, used for 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;
总信号生成模块,用于根据脉冲压缩后的信号、干扰信号和噪声得到接收总信号;A total signal generating module, used for obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
干扰抑制模块,用于根据所述接收总信号得到干扰抑制结果。The interference suppression module is used to obtain an interference suppression result according to the received total signal.
与现有技术相比,本发明的有益效果:Compared with the prior art, the present invention has the following beneficial effects:
本发明首先对接收信号进行混频,得到混频后的信号,然后依次对混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号,再根据脉冲压缩后的信号、干扰信号和噪声得到接收总信号,最后根据接收总信号得到干扰抑制结果。本发明采用多维域编码的雷达新体制,相较EPC-MIMO雷达体制,本发明使用多普勒调制实现雷达发射波形的分离,克服了在干扰功率很高时EPC-MIMO雷达正交性无法满足要求的缺点,提高了MIMO雷达的抗干扰能力。本发明不仅能抑制不同距离模糊区间的假目标,对同一距离模糊区间的假目标也有抑制效果。The present invention first mixes the received signal to obtain a mixed signal, then performs 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, and then obtains a total received signal based on the pulse compressed signal, the interference signal and the noise, and finally obtains an interference suppression result based on the total received signal. The present invention adopts a new radar system of multi-dimensional domain coding. Compared with the EPC-MIMO radar system, the present invention uses Doppler modulation to achieve the separation of radar transmission waveforms, overcomes the shortcoming that the orthogonality of the EPC-MIMO radar cannot meet the requirements when the interference power is very high, and improves the anti-interference ability of the MIMO radar. The present invention can not only suppress false targets in different distance ambiguity intervals, but also has a suppressive effect on false targets in the same distance ambiguity interval.
以下将结合附图对本发明做进一步详细说明。The present invention will be further described in detail below with reference to the accompanying drawings.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是本发明实施例提供的一种基于多维域编码的阵列雷达抗主瓣干扰方法的流程示意图;FIG1 is a schematic flow chart of a method for array radar main lobe interference prevention based on multi-dimensional domain coding provided by an embodiment of the present invention;
图2是本发明实施例提供的信号分离时的距离-多普勒图;FIG2 is a distance-Doppler diagram of signal separation provided by an embodiment of the present invention;
图3是本发明实施例提供的发射-接收空间频率域的非自适应波束形成方向图;FIG3 is a non-adaptive beamforming pattern in the transmit-receive spatial frequency domain provided by an embodiment of the present invention;
图4是本发明实施例提供的发射-接收空间频率域的Capon功率谱图;4 is a Capon power spectrum diagram of the transmit-receive spatial frequency domain provided by an embodiment of the present invention;
图5是本发明实施例提供的未使用本发明所提方法时的信号相参积累结果示意图;5 is a schematic diagram of a signal coherent accumulation result provided by an embodiment of the present invention when the method proposed by the present invention is not used;
图6是本发明实施例提供的使用本发明所提方法时的信号相参积累结果示意图;FIG6 is a schematic diagram of a signal coherent accumulation result when using the method proposed by the present invention according to an embodiment of the present invention;
图7是本发明实施例提供的一种基于多维域编码的阵列雷达抗主瓣干扰系统的示意图。FIG7 is a schematic diagram of an array radar anti-main lobe interference system based on multi-dimensional domain coding provided by an embodiment of the present invention.
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详细的描述,但本发明的实施方式不限于此。The present invention is further described in detail below with reference to specific embodiments, but the embodiments of the present invention are not limited thereto.
实施例一Embodiment 1
在EPC-MIMO雷达中,不同脉冲之间存在着与脉冲数和阵元数有关的相位差,由此相位差导致不同脉冲对应的导向矢量不同,因此EPC-MIMO雷达能对不同距离模糊区间的信号达到干扰抑制的目的。然而,EPC-MIMO雷达实现上述功能的必要前提是各个发射阵元的发射信号要有较高的正交性,以便后续雷达能够分离不同通道发射的信号。而当环境中存在欺骗干扰时,常见的相位编码正交信号由于其正交性不高,当干扰功率较大时,由干扰机转发的各个发射信号的互相关峰值会淹没真实目标,对雷达的目标搜索、跟踪等功能带来较大的影响。本发明提出了一种围绕空间、慢时间和快时间联合编码的多维域编码体制雷达,基于多普勒调制的方式来实现MIMO雷达的正交发射,在实现良好正交波形的同时也对主瓣欺骗干扰进行抑制。In the EPC-MIMO radar, there is a phase difference between different pulses related to the number of pulses and the number of array elements. The phase difference causes different steering vectors corresponding to different pulses. Therefore, the EPC-MIMO radar can achieve the purpose of interference suppression for signals in different distance ambiguity intervals. However, the necessary prerequisite for the EPC-MIMO radar to achieve the above functions is that the transmission signals of each transmitting array element must have a high orthogonality so that the subsequent radar can separate the signals transmitted by different channels. When there is deception interference in the environment, the common phase-coded orthogonal signal has low orthogonality. When the interference power is large, the cross-correlation peaks of each transmission signal forwarded by the jammer will drown the real target, which will have a great impact on the radar's target search, tracking and other functions. The present invention proposes a multi-dimensional domain coding system radar around space, slow time and fast time joint coding, which realizes the orthogonal transmission of the MIMO radar based on Doppler modulation, and suppresses the main lobe deception interference while achieving a good orthogonal waveform.
请参见图1,图1是本发明实施例提供的一种基于多维域编码的阵列雷达抗主瓣干扰方法的流程示意图,本发明实施例提供了一种基于多维域编码的阵列雷达抗主瓣干扰方法,该阵列雷达抗主瓣干扰方法包括:Please refer to FIG. 1, which is a flow chart of a method for array radar anti-main lobe interference based on multi-dimensional domain coding provided by an embodiment of the present invention. An embodiment of the present invention provides an array radar anti-main lobe interference method based on multi-dimensional domain coding, and the array radar anti-main lobe interference method includes:
步骤1、获取接收信号,并对接收信号进行混频,得到混频后的信号,其中,混频后的信号包括个混频后的子脉冲,N为接收阵元的总数量,K为脉冲的总数量,L为一个脉冲内子脉冲的总数量。Step 1: Obtain a received signal and mix the received signal to obtain a mixed signal, wherein the mixed signal includes The mixed sub-pulses are as follows: 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.
具体的,本实施例设置了一个具有M个发射阵元、N个接收阵元的共置MIMO雷达系统,发射信号经反射后的回波被接收阵元接收,实现如下:Specifically, this embodiment sets up a co-located MIMO radar system with M transmitting array elements and N receiving array elements, and the echo of the reflected transmitting signal is received by the receiving array element, which is implemented as follows:
假设一个CPI(Coherent Processing Interval,相参处理间隔)内雷达发射K个脉冲,则由第个发射阵元发射的第/>个脉冲的第/>个子脉冲的编码可以被设计为:Assuming that the radar transmits K pulses within a CPI (Coherent Processing Interval), the The first/> The first pulse of The encoding of the sub-pulses can be designed as:
; ;
其中,为编码系数,/>,/>为发射阵元的总数量。in, is the coding coefficient, /> ,/> is the total number of transmitting array elements.
假设远场有一个点目标,该点目标与雷达的角度和距离分别为和/>,且脉冲延迟数为/>,在窄带条件下,由第/>个接收阵元接收到的第/>个脉冲的第/>个子脉冲/>为:Assume that there is a point target in the far field, and the angle and distance between the point target and the radar are and/> , and the pulse delay number is/> , under narrowband conditions, by the / > The receiving element receives the first /> The first pulse of sub-pulses/> for:
; ;
其中,为点目标的复幅度,/>为第/>个发射阵元发射的波形,/>为快时间,/>,/>为点目标和雷达之间的距离,/>为光速,/>为载频,/>为目标多普勒频率,,/>为目标速度,/>为波长,/>为脉冲重复周期,/>为信号双程传播时延,,/>为点目标和雷达之间的角度,/>为阵元间距,/>。in, is the complex amplitude of the point target, /> For the first/> The waveform transmitted by the transmitting array element, /> For quick time, /> ,/> is the distance between the point target and the radar, /> is the speed of light, /> is the carrier frequency, /> is the target Doppler frequency, ,/> is the target speed, /> is the wavelength, /> is the pulse repetition period, /> is the signal round-trip propagation delay, ,/> is the angle between the point target and the radar, /> is the array element spacing, /> .
之后,对接收信号进行混频,得到混频后的信号,混频后的信号包括混频后的子脉冲,混频后的子脉冲表示为:After that, the received signal is mixed to obtain a mixed signal, which includes The mixed sub-pulse is expressed as:
; ;
其中,为进行混频后的第/>个接收阵元接收到的第/>个脉冲的第/>个子脉冲。in, For the mixed / > The receiving element receives the first /> The first pulse of sub-pulses.
步骤2、依次对混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号。Step 2: sequentially perform slow-time phase compensation, discrete Fourier transform, signal separation and pulse compression processing on the mixed signal to obtain a pulse compressed signal.
步骤2.1、对混频后的信号进行慢时间相位补偿,得到补偿后的信号。Step 2.1, performing slow time phase compensation on the mixed signal to obtain a compensated signal.
具体的,为了分离第个接收阵元接收的第/>个发射阵元发送的脉冲信号,需按照特定脉冲数对第/>个接收阵元的接收信号进行慢时间相位补偿,补偿后的信号可表示为:Specifically, in order to separate The receiving array element receives the first /> The pulse signal sent by the transmitting array element needs to be sent to the first/> according to the specific number of pulses. The received signal of each receiving array element is subjected to slow time phase compensation, and the compensated signal can be expressed as:
; ;
其中,为对第/>个发射阵元进行补偿后的第/>个接收阵元接收到的第k个脉冲的第/>个子脉冲。in, For the first/> The first/> after the compensation of the transmitting array element The kth pulse received by the receiving array element is sub-pulses.
步骤2.2、对补偿后的信号在慢时间进行离散傅里叶变换,得到变换后的信号。Step 2.2: Perform discrete Fourier transform on the compensated signal in slow time to obtain a transformed signal.
具体的,补偿相位后,当/>时,第/>个发射阵元的信号就移动到了多普勒零频,对补偿后的信号进行离散傅里叶变换,得到变换后的信号。Specifically, compensation After the phase, when/> When, the The signal of each transmitting array element is moved to the Doppler zero frequency, and the compensated signal is discrete Fourier transformed to obtain the transformed signal.
步骤2.3、使用通带为的低通滤波器对变换后的信号进行滤波,得到滤波后的信号,其中,/>为脉冲重复频率,/>。Step 2.3, use the passband The transformed signal is filtered by a low-pass filter to obtain a filtered signal, wherein, /> is the pulse repetition frequency, /> .
具体的,使用一通带为的低通滤波器/>来滤除其他频带的信号,滤波后的信号表示为:Specifically, a passband of Low pass filter/> To filter out the signals in other frequency bands, the filtered signal is expressed as:
; ;
其中,为频率滤波后得到的第/>个接收阵元接收到的第m个发射阵元发射的第/>个子脉冲,/>为多普勒通道序号,/>,,/>为转置,/>为低通滤波器的第/>个元素。in, is the first one obtained after frequency filtering/> The mth transmitting element transmitted by the mth transmitting element is received by the mth receiving element/> sub-pulses,/> is the Doppler channel number, /> , ,/> is transposed,/> For the low-pass filter elements.
步骤2.4、对滤波后的信号进行逆离散傅里叶变换,得到逆变换后的信号。Step 2.4: Perform inverse discrete Fourier transform on the filtered signal to obtain an inverse transformed signal.
具体的,逆变换后的信号表示为:Specifically, the inverse transformed signal is expressed as:
; ;
其中,为/>的逆离散傅里叶变换结果。in, For/> The inverse discrete Fourier transform result of .
步骤2.5、根据逆变换后的信号得到分离后的信号。Step 2.5: Obtain the separated signal based on the inverse transformed signal.
具体的,分别取出的各个元素,即可得到第/>个接收阵元接收的第/>个发射阵元发送的第/>个脉冲的第/>个子脉冲信号,表示为:Specifically, take out Each element of can get the first/> The receiving array element receives the first /> The first/> The first pulse of sub-pulse signal, expressed as:
; ;
其中,为分离后的第/>个接收阵元接收到的第m个发射阵元发射的第k个脉冲的第/>个子脉冲。in, After separation, The kth pulse transmitted by the mth transmitting element is received by the receiving element. sub-pulses.
步骤2.6、将所有分离后的信号堆叠为一个维的矢量,得到堆叠后的信号,表示为:Step 2.6: Stack all separated signals into one dimensional vector, and the stacked signal is obtained, which is expressed as:
; ;
其中,为N个接收阵元接收到的第/>个脉冲的第/>个子脉冲的堆叠信号。in, The first / > received by N receiving array elements The first pulse of The stacked signal of sub-pulses.
步骤2.7、对堆叠后的信号进行快时间相位补偿,得到快时间相位补偿后的信号。Step 2.7, perform fast time phase compensation on the stacked signal to obtain a fast time phase compensated signal.
具体的,通过快时间相位补偿消除相邻通道间的相位差,得到:Specifically, the phase difference between adjacent channels is eliminated by fast time phase compensation ,get:
; ;
其中,为对N个接收阵元接收到的第/>个脉冲的第/>个子脉冲进行快时间相位补偿后的信号,/>为将向量转换为对角矩阵,/>为快时间相位补偿矢量,,/>为/>维列向量,/>,/>,,/>,,/>为点乘,/>为克罗内克积。in, The first / > received by N receiving array elements The first pulse of The signal after fast time phase compensation of sub-pulses,/> To convert a vector into a diagonal matrix, /> is the fast-time phase compensation vector, ,/> For/> dimension column vector, /> ,/> , ,/> , ,/> is the dot product, /> is the Kronecker product.
步骤2.8、对快时间相位补偿后的信号进行脉冲压缩,得到脉冲压缩后的信号。Step 2.8, performing pulse compression on the signal after fast time phase compensation to obtain a pulse compressed signal.
这里,脉冲压缩后的信号表示为:Here, the signal after pulse compression is expressed as:
; ;
其中,为对/>个脉冲进行脉冲压缩后的第/>个子脉冲,/>,。in, For/> The pulse is compressed after the first pulse/> sub-pulses,/> , .
步骤3、根据脉冲压缩后的信号、干扰信号和噪声得到接收总信号。Step 3: Obtain the total received signal based on the pulse compressed signal, the interference signal and the noise.
根据上述信号处理流程,考虑干扰机截获,并转发雷达信号。假设己方雷达受到自卫式的快速转发干扰影响,干扰信号的距离模糊区间、角度与速度和目标相同。一般情况下,当转发式干扰信号的距离模糊区间与目标回波的距离模糊区间相同时,则干扰信号在时间上必然会落后于目标回波,考虑干扰机转发延时大于脉宽的情况,则干扰信号与目标回波在时域上无交叠,因此脉压后的第一个峰值必然对应于真实目标,可以通过这一特点来确定目标回波的脉冲前沿,随后可在目标回波区域进行快时间相位补偿,而干扰信号的快时间编码相位,即,无法被正常补偿,因此转发干扰的信号模型可表示为:According to the above signal processing flow, consider that the jammer intercepts and forwards the radar signal. Assume that the own radar is affected by the self-defense fast forwarding interference, and the distance ambiguity interval, angle and speed of the interference signal are the same as the target. In general, when the distance ambiguity interval of the forwarding interference signal is the same as the distance ambiguity interval of the target echo, the interference signal will inevitably lag behind the target echo in time. Considering that the jammer forwarding delay is greater than the pulse width, the interference signal and the target echo have no overlap in the time domain. Therefore, the first peak after the pulse compression must correspond to the real target. This feature can be used to determine the pulse leading edge of the target echo, and then fast-time phase compensation can be performed in the target echo area. The fast-time encoding phase of the interference signal, that is, , cannot be compensated normally, so the signal model of forwarding interference can be expressed as:
; ;
其中,为干扰信号,/>为干扰信号幅度,/>,,/>,/>,/>为干扰信号的Doppler(多普勒)向量,/>,/>,为干扰信号的调制速度,经过快时间编码进行相位补偿。in, is the interference signal,/> is the interference signal amplitude, /> , ,/> ,/> ,/> is the Doppler vector of the interference signal, /> ,/> , The modulation speed of the interference signal is compensated for by fast time coding.
因此可以通过不同的发射空间频率来区分真假目标。随后,可通过构建自适应波束形成器来抑制干扰信号以及积累目标信号,权矢量表示为:Therefore, different transmission spatial frequencies can be used to distinguish true and false targets. Subsequently, an adaptive beamformer can be constructed to suppress interference signals and accumulate target signals. The weight vector is expressed as:
; ;
其中,为收发联合导向矢量,/>为共轭转置操作,/>为采样协方差矩阵。雷达的最终接收信号包含目标、干扰以及噪声,可表示为:in, To send and receive joint steering vectors, /> is the conjugate transpose operation, /> is the sampling covariance matrix. The final received signal of the radar contains the target, interference and noise, which can be expressed as:
; ;
其中,为接收总信号,/>为噪声。in, To receive the total signal, /> For noise.
步骤4、根据接收总信号得到干扰抑制结果。Step 4: Obtain interference suppression results based on the received total signal.
这里,干扰抑制结果表示为:Here, the interference suppression result is expressed as:
; ;
其中,为干扰抑制结果。in, is the interference suppression result.
本发明首先对各阵元发射信号围绕空间、慢时间和快时间的多维域进行编码,接收端处理时,先对接收信号进行慢时间相位补偿,随后进行离散傅里叶变换,使得所需信号的频谱搬移至零频,随后使用低通滤波器进行信号分离即可获得所需信号,之后需要补偿快时间编码相位,并进行波束形成,完成目标积累和干扰抑制。本发明采用多维域编码的雷达新体制,相较EPC-MIMO雷达体制,使用多普勒调制实现雷达发射波形的分离,克服了在干扰功率很高时EPC-MIMO雷达正交性无法满足要求的缺点,提高了MIMO雷达的抗干扰能力。The present invention first encodes the multi-dimensional domains of space, slow time and fast time around the transmitted signals of each array element. When the receiving end processes, the received signal is firstly compensated for the slow time phase, and then a discrete Fourier transform is performed to move the spectrum of the desired signal to zero frequency. Then, a low-pass filter is used to separate the signal to obtain the desired signal. After that, it is necessary to compensate for the fast time coding phase, and perform beamforming to complete target accumulation and interference suppression. The present invention adopts a new radar system of multi-dimensional domain coding. Compared with the EPC-MIMO radar system, Doppler modulation is used to realize the separation of radar transmission waveforms, which overcomes the disadvantage that the orthogonality of the EPC-MIMO radar cannot meet the requirements when the interference power is very high, and improves the anti-interference ability of the MIMO radar.
本发明在快时间引入了相位编码,因此与EPC-MIMO雷达相比,本发明不仅能抑制不同距离模糊区间的假目标,对同一距离模糊区间的假目标也有抑制效果。The present invention introduces phase coding in fast time, so compared with the EPC-MIMO radar, the present invention can not only suppress false targets in different distance ambiguity intervals, but also has a suppressive effect on false targets in the same distance ambiguity interval.
本发明所发射的雷达波形在产生时,只需要对一公共发射波形乘上不同初始编码相位,即可得到不同阵元和脉冲的发射波形,因此本发明易于实现,所需硬件结构简单。When the radar waveform emitted by the present invention is generated, it is only necessary to multiply a common emission waveform by different initial coding phases to obtain emission waveforms of different array elements and pulses. Therefore, the present invention is easy to implement and the required hardware structure is simple.
下面结合仿真实验对本发明做进一步的描述。The present invention is further described below in conjunction with simulation experiments.
1. 仿真参数设置:1. Simulation parameter settings:
表1给出了雷达系统仿真参数,表2给出了目标参数,假设自卫式干扰机共产生2个假目标,其中假目标1为跨脉冲转发干扰,假目标2为快速转发干扰。Table 1 gives the radar system simulation parameters, and Table 2 gives the target parameters. It is assumed that the self-defense jammer generates two false targets in total, of which false target 1 is cross-pulse forwarding jammer and false target 2 is fast forwarding jammer.
表1 多维域编码雷达系统仿真参数Table 1 Simulation parameters of multi-dimensional domain coding radar system
表2 目标参数Table 2 Target parameters
2. 仿真内容与结果分析:2. Simulation content and result analysis:
仿真1,在上述表1和表2的仿真参数下,采用本发明的技术,在MIMO雷达采用多维域编码方法下,信号分离时的距离-多普勒图如图2所示,可见各阵元发射信号在编码作用下,在多普勒维均匀排列,因此可以通过低通滤波器来分离各发射信号。Simulation 1, under the simulation parameters of Tables 1 and 2 above, using the technology of the present invention, when the MIMO radar adopts a multi-dimensional domain coding method, the range-Doppler diagram during signal separation is shown in Figure 2. It can be seen that the transmitted signals of each array element are evenly arranged in the Doppler dimension under the effect of coding, so the transmitted signals can be separated by a low-pass filter.
发射-接收空间频率域的自适应波束形成方向图如图3所示。接收信号的发射-接收空间频率域的功率谱图如图4所示,可见在编码作用下,干扰信号各子脉冲的功率峰值点与目标的功率峰值分别位于不同的发射空间频率之上,因此雷达能对目标和干扰信号做出区分。The adaptive beamforming pattern in the transmit-receive spatial frequency domain is shown in Figure 3. The power spectrum of the received signal in the transmit-receive spatial frequency domain is shown in Figure 4. It can be seen that under the effect of coding, the power peak points of each sub-pulse of the interference signal and the power peak point of the target are located on different transmit spatial frequencies, so the radar can distinguish between the target and the interference signal.
仿真2,在上述表1和表2的仿真参数下,采用本发明的技术,对假目标干扰抑制进行了仿真。图5展示了未使用本发明时信号相参积累结果,可见此时积累结果中出现了2个功率假目标,图6展示了MIMO雷达使用多维域编码后的信号相参积累结果,可见此时位于4km和2km位置的干扰信号均已被抑制,说明了本发明的有效性。Simulation 2, under the simulation parameters of Tables 1 and 2 above, the technology of the present invention is used to simulate the interference suppression of false targets. Figure 5 shows the signal coherent accumulation result when the present invention is not used. It can be seen that 2 power false targets appear in the accumulation result at this time. Figure 6 shows the signal coherent accumulation result after the MIMO radar uses multi-dimensional domain coding. It can be seen that the interference signals at the 4km and 2km positions have been suppressed at this time, which illustrates the effectiveness of the present invention.
上述仿真分析与测试证明了本发明所提方法的正确性与有效性。The above simulation analysis and tests prove the correctness and effectiveness of the method proposed in the present invention.
实施例二Embodiment 2
请参见图7,图7是本发明实施例提供的一种基于多维域编码的阵列雷达抗主瓣干扰系统,本发明实施例所提供的阵列雷达抗主瓣干扰系统包括:Please refer to FIG. 7 , which is a main lobe interference prevention system for an array radar based on multi-dimensional domain coding provided by an embodiment of the present invention. The main lobe interference prevention system for an array radar provided by an embodiment of the present invention includes:
混频模块,用于获取接收信号,并对接收信号进行混频,得到混频后的信号,其中,混频后的信号包括个混频后的子脉冲,N为接收阵元的总数量,K为脉冲的总数量,L为一个脉冲内子脉冲的总数量;The mixing module is used to obtain the received signal and mix the received signal to obtain the mixed signal, wherein the mixed signal includes sub-pulses after mixing, 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 a pulse;
处理模块,用于依次对混频后的信号进行慢时间相位补偿、离散傅里叶变换、信号分离和脉冲压缩处理,得到脉冲压缩后的信号;A processing module, used to sequentially perform slow-time phase compensation, discrete Fourier transform, signal separation and pulse compression processing on the mixed signal to obtain a pulse compressed signal;
总信号生成模块,用于根据脉冲压缩后的信号、干扰信号和噪声得到接收总信号;A total signal generating module, used for obtaining a received total signal according to the pulse compressed signal, the interference signal and the noise;
干扰抑制模块,用于根据接收总信号得到干扰抑制结果。The interference suppression module is used to obtain an interference suppression result according to the received total signal.
需要说明的是,术语“第一”、“第二”仅用于描述目的,而不能理解为指示或暗示相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括一个或者更多个特征。在本发明的描述中,“多个”的含义是两个或两个以上,除非另有明确具体的限定。It should be noted that the terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Therefore, the features defined as "first" and "second" may explicitly or implicitly include one or more features. In the description of the present invention, the meaning of "plurality" is two or more, unless otherwise clearly and specifically defined.
在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不必须针对的是相同的实施例或示例。In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples" means that the specific features or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic expressions of the above terms do not necessarily refer to the same embodiment or example.
尽管在此结合各实施例对本发明进行了描述,然而,在实施所要求保护的本发明过程中,本领域技术人员通过查看所述附图以及公开内容,可理解并实现所述公开实施例的其他变化。在说明书中,“包括”一词不排除其他组成部分或步骤,“一”或“一个”不排除多个的情况。相互不同的实施例中记载了某些措施,但这并不表示这些措施不能组合起来产生良好的效果。Although the present invention is described herein in conjunction with various embodiments, in the process of implementing the claimed invention, those skilled in the art may understand and implement other variations of the disclosed embodiments by viewing the drawings and the disclosure. In the specification, the word "comprising" does not exclude other components or steps, and "one" or "an" does not exclude multiple situations. Certain measures are recorded in different embodiments, but this does not mean that these measures cannot be combined to produce good results.
以上内容是结合具体的优选实施方式对本发明所作的进一步详细说明,不能认定本发明的具体实施只局限于这些说明。对于本发明所属技术领域的普通技术人员来说,在不脱离本发明构思的前提下,还可以做出若干简单推演或替换,都应当视为属于本发明的保护范围。The above contents are further detailed descriptions of the present invention in combination with specific preferred embodiments, and it cannot be determined that the specific implementation of the present invention is limited to these descriptions. For ordinary technicians in the technical field to which the present invention belongs, several simple deductions or substitutions can be made without departing from the concept of the present invention, which should be regarded as falling within the protection scope of the present invention.
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