CN113341408B - An imaging method and system based on through-wall radar clutter suppression - Google Patents
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Abstract
本发明涉及一种基于穿墙雷达杂波抑制的成像方法及系统,包括:获取穿墙雷达接收的原始回波信号;对所述原始回波信号进行成像处理,确定原始图像;根据所述原始图像确定所述原始图像的像素向量的离散系数;根据所述离散系数对所述原始图像的像素向量进行排序,得到排序后的像素向量;根据所述原始图像确定步进长度;根据所述步进长度确定像素消除比例;利用所述排序后的像素向量和所述像素消除比例确定第一消除比例;根据所述第一消除比例和像素消除比例确定第二消除比例;根据所述第二消除比例对应的像素值进行复现,得到成像结果。本发明提供的方法及系统通过提高杂波和背景像素向量的抑制效果从而提高成像质量。
The present invention relates to an imaging method and system based on clutter suppression of through-the-wall radar, comprising: acquiring an original echo signal received by a through-wall radar; performing imaging processing on the original echo signal to determine an original image; The image determines the discrete coefficient of the pixel vector of the original image; sorts the pixel vector of the original image according to the discrete coefficient to obtain the sorted pixel vector; determines the step length according to the original image; The pixel elimination ratio is determined by the input length; the first elimination ratio is determined by using the sorted pixel vector and the pixel elimination ratio; the second elimination ratio is determined according to the first elimination ratio and the pixel elimination ratio; according to the second elimination ratio The pixel value corresponding to the ratio is reproduced to obtain the imaging result. The method and system provided by the present invention improve the imaging quality by improving the suppression effect of clutter and background pixel vector.
Description
技术领域technical field
本发明涉及杂波抑制领域,特别是涉及一种基于穿墙雷达杂波抑制的成像方法及系统。The invention relates to the field of clutter suppression, in particular to an imaging method and system based on through-wall radar clutter suppression.
背景技术Background technique
区别于自由空间中的其他雷达,穿墙成像雷达(through-the-wall radar,TWIR)需要对墙体后方的目标进行探测成像。除噪声信号外,由墙体一次反射引起的主杂波信号幅值远大于目标信号,占据了图像中的主导地位;而多次反射后的墙体残余杂波在时域上常与目标信号重叠,使得目标成像更加模糊。对墙体杂波进行有效抑制,是TWIR对墙后目标准确成像的重要前提。Different from other radars in free space, through-the-wall radar (TWIR) needs to detect and image the target behind the wall. In addition to the noise signal, the amplitude of the main clutter signal caused by the primary reflection of the wall is much larger than that of the target signal, occupying the dominant position in the image; while the residual clutter of the wall after multiple reflections is often the same as the target signal in the time domain. Overlapping, making the target image more blurred. Effective suppression of wall clutter is an important prerequisite for TWIR to accurately image targets behind walls.
常见的杂波抑制算法多从回波域入手,直接在回波信号中分离出目标信号。但是,这类算法往往只能滤除掉大部分杂波,成像中目标附近仍有残余杂波。因此,图像信杂比和目标成像的准确性相对较低。Common clutter suppression algorithms mostly start from the echo domain and directly separate the target signal from the echo signal. However, such algorithms can often only filter out most of the clutter, and there are still residual clutter near the target in the imaging. Therefore, the image signal-to-noise ratio and the accuracy of target imaging are relatively low.
发明内容SUMMARY OF THE INVENTION
本发明的目的是提供一种基于穿墙雷达杂波抑制的成像方法及系统,以通过提高杂波和背景像素向量的抑制效果从而提高成像质量。The purpose of the present invention is to provide an imaging method and system based on through-wall radar clutter suppression, so as to improve the imaging quality by improving the suppression effect of clutter and background pixel vector.
为实现上述目的,本发明提供了如下方案:For achieving the above object, the present invention provides the following scheme:
一种基于穿墙雷达杂波抑制的成像方法,包括:An imaging method based on through-wall radar clutter suppression, comprising:
获取穿墙雷达接收的原始回波信号;Obtain the original echo signal received by the through-wall radar;
对所述原始回波信号进行成像处理,确定原始图像;Perform imaging processing on the original echo signal to determine the original image;
根据所述原始图像确定所述原始图像的像素向量的离散系数;determining the discrete coefficient of the pixel vector of the original image according to the original image;
根据所述离散系数对所述原始图像的像素向量进行排序,得到排序后的像素向量;Sort the pixel vector of the original image according to the discrete coefficient to obtain the sorted pixel vector;
根据所述原始图像确定步进长度;determining the step length according to the original image;
根据所述步进长度确定像素消除比例;Determine the pixel elimination ratio according to the step length;
利用所述排序后的像素向量和所述像素消除比例确定第一消除比例;Using the sorted pixel vector and the pixel elimination ratio to determine a first elimination ratio;
根据所述第一消除比例和像素消除比例确定第二消除比例;determining a second elimination ratio according to the first elimination ratio and the pixel elimination ratio;
根据所述第二消除比例对应的像素值进行复现,得到成像结果。Reproducing is performed according to the pixel value corresponding to the second elimination ratio to obtain an imaging result.
可选的,所述根据所述原始图像确定所述原始图像像素向量的离散系数,具体包括:Optionally, the determining the discrete coefficient of the original image pixel vector according to the original image specifically includes:
根据所述原始图像利用如下公式确定所述原始图像像素向量的离散系数:According to the original image, the following formula is used to determine the discrete coefficient of the pixel vector of the original image:
其中,Vi为离散系数,σi为向量元素的标准差,μi为向量元素的均值,K为像素向量的维数,qik为像素向量,i为像素向量的个数,k为像素向量维数的个数。Among them, V i is the discrete coefficient, σ i is the standard deviation of the vector elements, μ i is the mean value of the vector elements, K is the dimension of the pixel vector, q ik is the pixel vector, i is the number of pixel vectors, and k is the pixel vector The number of vector dimensions.
可选的,所述根据所述离散系数对所述原始图像的像素向量进行排序,得到排序后的像素向量,具体包括:Optionally, sorting the pixel vectors of the original image according to the discrete coefficients to obtain sorted pixel vectors, specifically including:
根据所述离散系数对所述原始图像的像素向量进行降序排列,得到排序后的像素向量。Arrange the pixel vectors of the original image in descending order according to the discrete coefficients to obtain the sorted pixel vectors.
可选的,所述根据所述原始图像确定步进长度,具体包括:Optionally, the determining the step length according to the original image specifically includes:
根据所述原始图像的最小分辨单元占成像面积的比例确定步进长度。The step length is determined according to the ratio of the minimum resolution unit of the original image to the imaging area.
可选的,所述利用所述排序后的像素向量像素向量和所述像素消除比例确定第一消除比例,具体包括:Optionally, determining the first elimination ratio by using the sorted pixel vector pixel vector and the pixel elimination ratio specifically includes:
利用所述排序后的像素向量和所述像素消除比例确定像素消除比例下的图像强度;Using the sorted pixel vector and the pixel removal ratio to determine the image intensity under the pixel removal ratio;
将所述图像强度绘制成图像强度变化曲线,确定所述图像强度变化曲线中趋于稳定的第一个点为第一消除比例。The image intensity is drawn into an image intensity change curve, and the first point in the image intensity change curve that tends to be stable is determined as the first elimination ratio.
可选的,所述利用所述排序后的像素向量和所述像素消除比例确定像素消除比例下的图像强度,具体包括:Optionally, the use of the sorted pixel vector and the pixel elimination ratio to determine the image intensity under the pixel elimination ratio specifically includes:
利用所述排序后的像素向量和所述像素消除比例根据如下公式确定像素消除比例下的图像强度:Use the sorted pixel vector and the pixel removal ratio to determine the image intensity at the pixel removal ratio according to the following formula:
其中II为图像强度,Q为像素总量,Ai为第i个像素的幅度。where II is the image intensity, Q is the total number of pixels, and A i is the magnitude of the ith pixel.
可选的,所述根据所述第一消除比例和像素消除比例确定第二消除比例,具体包括:Optionally, the determining the second elimination ratio according to the first elimination ratio and the pixel elimination ratio specifically includes:
根据所述第一消除比例和像素消除比例确定像素消除比例下的剩余像素均值;Determine the residual pixel mean value under the pixel elimination ratio according to the first elimination ratio and the pixel elimination ratio;
将所述剩余像素均值绘制成剩余像素均值变化曲线,确定所述剩余像素均值变化曲线中趋于稳定的第一个点为第二消除比例。The residual pixel mean value is drawn into a residual pixel mean value change curve, and the first point in the residual pixel mean value change curve that tends to be stable is determined as the second elimination ratio.
可选的,所述根据所述第一消除比例和像素消除比例确定像素消除比例下的剩余像素均值,具体包括:Optionally, determining the average value of remaining pixels under the pixel elimination ratio according to the first elimination ratio and the pixel elimination ratio specifically includes:
根据所述第一消除比例和像素消除比例利用如下公式确定像素消除比例下的剩余像素均值:According to the first elimination ratio and the pixel elimination ratio, the following formula is used to determine the residual pixel mean value under the pixel elimination ratio:
其中,MRP为剩余像素均值,n为剩余像素标号的上限,m为剩余像量标号的下限,Ai为第i个像素的幅度。Among them, M RP is the mean value of the remaining pixels, n is the upper limit of the remaining pixel labels, m is the lower limit of the remaining image volume labels, and A i is the amplitude of the ith pixel.
一种基于穿墙雷达杂波抑制的成像系统,包括:An imaging system based on through-wall radar clutter suppression, comprising:
获取模块,用于获取穿墙雷达接收的原始回波信号;The acquisition module is used to acquire the original echo signal received by the through-the-wall radar;
成像模块,用于对所述原始回波信号进行成像处理,确定原始图像;an imaging module, configured to perform imaging processing on the original echo signal to determine the original image;
离散系数确定模块,用于根据所述原始图像确定所述原始图像的像素向量的离散系数;a discrete coefficient determination module, configured to determine the discrete coefficient of the pixel vector of the original image according to the original image;
排序模块,用于根据所述离散系数对所述原始图像的像素向量进行排序,得到排序后的像素向量;a sorting module, configured to sort the pixel vectors of the original image according to the discrete coefficients to obtain sorted pixel vectors;
步进长度确定模块,用于根据所述原始图像确定步进长度;a step length determination module, configured to determine the step length according to the original image;
像素消除比例确定模块,用于根据所述步进长度确定像素消除比例;a pixel elimination ratio determination module, configured to determine a pixel elimination ratio according to the step length;
第一消除比例确定模块,用于利用所述排序后的像素向量和所述像素消除比例确定第一消除比例;a first elimination ratio determination module, configured to determine a first elimination ratio by using the sorted pixel vector and the pixel elimination ratio;
第二消除比例确定模块,用于根据所述第一消除比例和像素消除比例确定第二消除比例;A second elimination ratio determination module, configured to determine a second elimination ratio according to the first elimination ratio and the pixel elimination ratio;
复现模块,用于根据所述第二消除比例对应的像素值进行复现,得到成像结果。and a reproduction module, configured to reproduce according to the pixel value corresponding to the second elimination ratio to obtain an imaging result.
可选的,所述离散系数确定模块,具体包括:Optionally, the discrete coefficient determination module specifically includes:
离散系数确定单元,用于根据所述原始图像利用如下公式确定所述原始图像像素向量的离散系数:A discrete coefficient determination unit, configured to determine the discrete coefficient of the original image pixel vector using the following formula according to the original image:
其中,Vi为离散系数,σi为向量元素的标准差,μi为向量元素的均值,K为像素向量的维数,qik为像素向量,i为像素向量的个数,k为像素向量维数的个数。Among them, V i is the discrete coefficient, σ i is the standard deviation of the vector elements, μ i is the mean value of the vector elements, K is the dimension of the pixel vector, q ik is the pixel vector, i is the number of pixel vectors, and k is the pixel vector The number of vector dimensions.
根据本发明提供的具体实施例,本发明公开了以下技术效果:According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects:
本发明提供的一种基于穿墙雷达杂波抑制的成像方法及系统,以像素在各天线通道的分量构成相应的像素向量。步进长度,逐步消除掉离散系数较大的像素向量。为了更好地标记像素向量消除过程,利用第一消除比例进行主杂波抑制,利用第二消除比例进行目标聚焦,从而最大程度地抑制杂波和背景像素向量,得到最佳成像结果,从而提高了成像质量。The present invention provides an imaging method and system based on through-wall radar clutter suppression, in which the components of pixels in each antenna channel form a corresponding pixel vector. Step length, and gradually eliminate pixel vectors with large discrete coefficients. In order to better mark the pixel vector elimination process, the first elimination ratio is used for main clutter suppression, and the second elimination ratio is used for target focusing, so as to maximize the suppression of clutter and background pixel vectors, obtain the best imaging results, and improve the image quality.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动性的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the accompanying drawings required in the embodiments will be briefly introduced below. Obviously, the drawings in the following description are only some of the present invention. In the embodiments, for those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative labor.
图1为本发明基于穿墙雷达杂波抑制的成像方法流程图;1 is a flowchart of an imaging method based on through-wall radar clutter suppression according to the present invention;
图2为BP-TWI算法下的像素向量形成示意图;Fig. 2 is a schematic diagram of pixel vector formation under the BP-TWI algorithm;
图3为杂波抑制算法流程图;Fig. 3 is the flow chart of the clutter suppression algorithm;
图4为本发明基于穿墙雷达杂波抑制的成像系统示意图。FIG. 4 is a schematic diagram of an imaging system based on through-wall radar clutter suppression according to the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
本发明的目的是提供一种基于穿墙雷达杂波抑制的成像方法及系统,以通过提高杂波和背景像素向量的抑制效果从而提高成像质量。The purpose of the present invention is to provide an imaging method and system based on through-wall radar clutter suppression, so as to improve the imaging quality by improving the suppression effect of clutter and background pixel vector.
为使本发明的上述目的、特征和优点能够更加明显易懂,下面结合附图和具体实施方式对本发明作进一步详细的说明。In order to make the above objects, features and advantages of the present invention more clearly understood, the present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.
穿墙雷达回波模型的确定:Determination of through-wall radar echo model:
设穿墙成像雷达以收发同置的天线阵列对墙后一理想点目标进行探测,且天线阵列与匀质墙体平行,单从回波组成成分来讲,第k个天线所接收的时域回波信号可表示为The through-wall imaging radar is set to detect an ideal point target behind the wall with an antenna array that transmits and receives at the same time, and the antenna array is parallel to the homogeneous wall. In terms of echo components, the time domain received by the kth antenna is The echo signal can be expressed as
R(k,t)=Rtg(k,t,p)+Rw(k,t)+Rn(k,t) (1)R(k,t)= Rtg (k,t,p)+ Rw (k,t)+ Rn (k,t) (1)
式中,R(k,t)为第k个天线所接收的时域回波信号,Rtg(k,t,p)为目标回波,Rw(k,t)为杂波信号,Rn(k,t)为噪声信号。在这里,认为天线耦合波已被预处理消除。为方便后续分析计算,对各组成成分作进一步的公式定义与模型简化:In the formula, R(k,t) is the time domain echo signal received by the kth antenna, R tg (k, t, p) is the target echo, R w (k, t) is the clutter signal, R n (k,t) is the noise signal. Here, the antenna coupling wave is considered to have been eliminated by preprocessing. In order to facilitate subsequent analysis and calculation, further formula definitions and model simplifications are made for each component:
设点目标Xp=(xp,yp),以目标幅度因子ap与双程传播时延τkp来表示目标回波,有Set the point target X p =(x p , y p ), and use the target amplitude factor a p and the two-way propagation delay τ kp to represent the target echo, we have
Rtg(k,t,p)=aps(t-τkp) (2)R tg (k,t,p)=a p s(t-τ kp ) (2)
其中,s(t-τkp)为发射信号s(t)经过目标回波延迟后的信号,同时,以墙体前、后表面一次反射波来代表杂波信号,考虑二者成像时性质一致,以杂波幅度因子aw和杂波时延τw将其统一表示为Among them, s(t-τ kp ) is the signal after the transmitted signal s(t) is delayed by the target echo, and at the same time, the clutter signal is represented by the first reflected wave on the front and rear surfaces of the wall, considering that the properties of the two are the same when imaging , which can be expressed uniformly by the clutter amplitude factor a w and the clutter delay τ w as
Rw(k,t)=aws(t-τw) (3)R w (k,t)=a w s(t-τ w ) (3)
其中,Rw(k,t)为杂波信号,s(t-τw)为发射信号s(t)经过杂波回波延迟后的信号,根据现有理论,对噪声信号来讲,其幅度a服从瑞利分布,相角在(0,2π]上均匀分布,有Among them, R w (k,t) is the clutter signal, and s(t-τ w ) is the signal after the transmitted signal s(t) is delayed by the clutter echo. According to the existing theory, for the noise signal, its The amplitude a follows a Rayleigh distribution, and the phase angle Uniformly distributed on (0,2π], we have
其中,Rn(k,t)为噪声信号,j为虚数单位。Among them, R n (k, t) is the noise signal, and j is the imaginary unit.
综上,由式(1)-(4),可得回波信号为To sum up, from equations (1)-(4), the echo signal can be obtained as
像素向量的形成与特征:The formation and characteristics of the pixel vector:
时域的回波信号通过一定的信号处理方式,会以图像的形式复现出探测目标的形状、位置等重要信息。以网格模型作为目标成像模型,设定探测区域被分割为M×N(方位向×距离向)个网格,每个网格可看作一个空间点。相对应地,图像中共有Q=M×N个像素。The echo signal in the time domain will reproduce important information such as the shape and position of the detection target in the form of an image through a certain signal processing method. Taking the grid model as the target imaging model, the detection area is set to be divided into M×N (azimuth direction×range direction) grids, and each grid can be regarded as a spatial point. Correspondingly, there are Q=M×N pixels in the image.
以BP-TWI算法对空间点Xi=(xi,yi)处的回波信号进行处理,则图像中第i个像素的幅度为Using the BP-TWI algorithm to process the echo signal at the spatial point X i =(x i , y i ), the amplitude of the i-th pixel in the image is
式中,τki是第k个天线与Xi的双程传播时延。where τ ki is the round-trip propagation delay between the k-th antenna and X i .
为了更好地描述像素特征,引入像素向量的概念,即:对于图像中任一像素,均存在唯一的像素向量qi与之对应。K为一确定的数值,既是天线阵列中总的通道数量,也是任一像素向量中的维度;像素向量qi为K维向量,其元素分别为像素形成过程中K个天线通道信号的采样值。以数学语言来表示这一概念,有In order to better describe pixel features, the concept of pixel vector is introduced, that is, for any pixel in the image, there is a unique pixel vector qi corresponding to it. K is a certain value, which is not only the total number of channels in the antenna array, but also the dimension of any pixel vector; the pixel vector qi is a K-dimensional vector, and its elements are the sampling values of the K antenna channel signals in the pixel formation process. . Expressing this concept in mathematical language, we have
如图2为BP-TWI算法下的像素向量形成示意图。可以看到,时域中的杂波信号对各天线通道具有一致性,目标信号则呈现前后交错的分布;而经过时延补偿,目标像素向量的元素具有较好的幅度一致性,杂波像素向量的元素存在少数特别大的值。从统计学的角度来看,像素向量的特征可表述为:杂波像素向量相较于目标像素向量,其元素分布的离散程度更大。Figure 2 is a schematic diagram of the formation of pixel vectors under the BP-TWI algorithm. It can be seen that the clutter signal in the time domain is consistent with each antenna channel, and the target signal presents a staggered distribution; after time delay compensation, the elements of the target pixel vector have good amplitude consistency, and the clutter pixel There are a few particularly large values for the elements of the vector. From a statistical point of view, the characteristics of the pixel vector can be expressed as: the clutter pixel vector has a greater degree of dispersion of the element distribution than the target pixel vector.
如图1所示,本发明提供的一种基于穿墙雷达杂波抑制的成像方法,包括:As shown in FIG. 1 , an imaging method based on through-wall radar clutter suppression provided by the present invention includes:
步骤101:获取穿墙雷达接收的原始回波信号。Step 101: Obtain the original echo signal received by the through-wall radar.
步骤102:对所述原始回波信号进行成像处理,确定原始图像。Step 102: Perform imaging processing on the original echo signal to determine an original image.
步骤103:根据所述原始图像确定所述原始图像的像素向量的离散系数。步骤103,具体包括:Step 103: Determine the discrete coefficient of the pixel vector of the original image according to the original image. Step 103 specifically includes:
根据所述原始图像利用如下公式确定所述原始图像像素向量的离散系数:According to the original image, the following formula is used to determine the discrete coefficient of the pixel vector of the original image:
其中,Vi为离散系数,σi为向量元素的标准差,μi为向量元素的均值,K为像素向量的维数,qik为像素向量,i为像素向量的个数,k为像素向量维数的个数。Among them, V i is the discrete coefficient, σ i is the standard deviation of the vector elements, μ i is the mean value of the vector elements, K is the dimension of the pixel vector, q ik is the pixel vector, i is the number of pixel vectors, and k is the pixel vector The number of vector dimensions.
确定离散程度定量指标:Determine the quantitative index of dispersion degree:
考虑到图像域中不同类型像素的幅度差距较大,为了避免其影响像素向量离散程度的定量化处理,选择一种相对离散程度的度量——离散系数。离散系数V定义为向量元素的标准差σ与其均值μ之比,一般情况下,均值μ要大于零。考虑到穿墙回波的数据多为复数,所以取元素的绝对值来进行计算。对任一像素向量qi,有Considering the large difference in the amplitudes of different types of pixels in the image domain, in order to avoid it affecting the quantitative processing of the discrete degree of pixel vectors, a measure of the relative discrete degree - discrete coefficient is selected. The dispersion coefficient V is defined as the ratio of the standard deviation σ of the vector elements to its mean μ, and in general, the mean μ is greater than zero. Considering that the data of the echo through the wall are mostly complex numbers, the absolute value of the elements is taken for calculation. For any pixel vector q i , we have
为了理论分析的全面性,对穿墙成像中像素向量作如下分类和定义:目标像素向量指图像中与真实目标位置对应区域的像素向量;杂波像素向量指由墙体主杂波形成的像素向量;背景像素向量是对图像中由噪声信号、墙体残余杂波信号及其他干扰信号形成的剩余像素向量的统称。For the comprehensiveness of theoretical analysis, the pixel vectors in through-wall imaging are classified and defined as follows: the target pixel vector refers to the pixel vector in the area corresponding to the real target position in the image; the clutter pixel vector refers to the pixels formed by the main clutter of the wall. Vector; Background pixel vector is a general term for the residual pixel vector formed by noise signal, wall residual clutter signal and other interference signals in the image.
考虑到噪声分布很广且影响有限,假设在目标像素向量与杂波像素向量计算过程中可忽略噪声信号,并规定发射信号s(t)为Considering that the noise distribution is very wide and the influence is limited, it is assumed that the noise signal can be ignored in the calculation process of the target pixel vector and the clutter pixel vector, and the emission signal s(t) is specified as
对三类像素向量的离散系数依次进行计算:The discrete coefficients of the three types of pixel vectors are calculated sequentially:
(1)目标像素向量qtg。(1) The target pixel vector q tg .
由于空间点Xtg与真实目标Xp重合,τktg表示任一天线位置与真实目标的双程传播时延,有Since the space point X tg coincides with the real target X p , τ ktg represents the two-way propagation delay between any antenna position and the real target, we have
则其离散系数可写作Then its discrete coefficient can be written as
(2)杂波像素向量qc。(2) The clutter pixel vector q c .
在杂波像素形成过程中,对真实目标,有During the formation of clutter pixels, for real targets, there are
对在墙体位置处的任一空间点,不妨设其与第m个天线单元的时延与墙体回波时延相等,其中,τkc和τmc二者分别表示第k个天线位置与墙体位置处空间点之间的双程传播时延,第m个天线位置与墙体位置处空间点之间的双程传播时延。m是特定的天线单元,该天线单元的实验与回波时延相等,而k表示任一天线单元。For any spatial point at the wall position, it may be assumed that the time delay of the mth antenna element is equal to the wall echo delay, where τ kc and τ mc respectively represent the kth antenna position and Two-way propagation delay between spatial points at the wall location, two-way propagation delay between the mth antenna location and the spatial point at the wall location. m is the specific antenna element whose experimental and echo delays are equal, and k denotes any antenna element.
即which is
其离散系数为Its dispersion coefficient is
其中,aw为杂波幅度因子,σc为杂波像素向量元素的标准差,μc为杂波像素向量元素的均值,除上面提到的墙体位置处的杂波像素向量,在墙体附近还有部分由主杂波信号“发散”形成的杂波像素向量。虽然没有具体计算,但可以肯定,这部分像素向量的离散系数要比Vc更大。Among them, a w is the clutter amplitude factor, σ c is the standard deviation of the clutter pixel vector elements, μ c is the mean value of the clutter pixel vector elements, except the clutter pixel vector at the wall position mentioned above, in the wall There are also clutter pixel vectors that are partly formed by the "divergence" of the main clutter signal near the volume. Although there is no specific calculation, it is certain that the discrete coefficient of this part of the pixel vector is larger than V c .
(3)背景像素向量qbg。(3) The background pixel vector q bg .
鉴于背景像素向量的构成中尤以噪声信号特征典型且覆盖范围广,单独计算其离散系数为Considering that the composition of the background pixel vector is especially typical of the noise signal and has a wide coverage, the discrete coefficient is calculated separately as
其中,σn为高斯白噪声的均方根,σbg为背景像素向量元素的标准差,μbg为背景像素向量元素的均值。Among them, σ n is the root mean square of Gaussian white noise, σ bg is the standard deviation of the background pixel vector elements, and μ bg is the mean value of the background pixel vector elements.
公式8是计算任一像素向量离散系数的基础公式,各像素向量的离散系数均是通过公式8计算得来。Equation 8 is a basic formula for calculating the discrete coefficient of any pixel vector, and the discrete coefficient of each pixel vector is calculated by Equation 8.
公式9-15是对各类像素向量的离散系数进行简化计算,仅仅是作为定性分析,其相应结论可为后续指标选择作参考,与实际系数计算无直接关系。Formula 9-15 is a simplified calculation of the discrete coefficients of various pixel vectors, which is only used for qualitative analysis, and its corresponding conclusions can be used as a reference for subsequent index selection, which is not directly related to the actual coefficient calculation.
不难看出,一般的背景像素向量的离散系数略大于目标像素向量。另外,由墙体残余杂波信号、目标信号等叠加形成的目标周边的背景像素向量,离散系数和幅度相对较大,是消除重点;而由其他干扰信号形成的背景像素向量,离散系数和幅度都很小,基本不会影响目标成像。It is not difficult to see that the discrete coefficient of the general background pixel vector is slightly larger than the target pixel vector. In addition, the background pixel vector around the target formed by the superposition of wall residual clutter signal, target signal, etc. has relatively large dispersion coefficient and amplitude, which is the key point of elimination; while the background pixel vector formed by other interference signals, the dispersion coefficient and amplitude are very small and will not affect the target imaging basically.
步骤104:根据所述离散系数对所述原始图像的像素向量进行排序,得到排序后的像素向量。Step 104: Sort the pixel vectors of the original image according to the discrete coefficients to obtain sorted pixel vectors.
步骤104,具体包括:Step 104 specifically includes:
根据所述离散系数对所述原始图像的像素向量进行降序排列,得到排序后的像素向量。Arrange the pixel vectors of the original image in descending order according to the discrete coefficients to obtain the sorted pixel vectors.
步骤105:根据所述原始图像确定步进长度。步骤105,具体包括:Step 105: Determine the step length according to the original image. Step 105 specifically includes:
根据所述原始图像的最小分辨单元占成像面积的比例确定步进长度。The step length is determined according to the ratio of the minimum resolution unit of the original image to the imaging area.
步骤106:根据所述步进长度确定像素消除比例。Step 106: Determine the pixel elimination ratio according to the step length.
杂波抑制效果评价指标:Evaluation index of clutter suppression effect:
在穿墙雷达杂波抑制中,往往需要引入杂波抑制效果评价指标。在本发明中,可通过评价指标的动态变化来决定像素向量的最佳消除比例。目前最常见的方法为信杂比,即In the clutter suppression of through-wall radar, it is often necessary to introduce the evaluation index of clutter suppression effect. In the present invention, the optimal elimination ratio of the pixel vector can be determined by the dynamic change of the evaluation index. The most common method at present is the signal-to-noise ratio, which is
其中,B1、B2分别为图像中的目标区域与杂波区域,C1、C2为各自区域中的像素个数。但是,该方法必须要获取目标的位置等先验信息,且目标区域的选择只能是依赖经验或目标检测,这无疑让问题变得更加复杂。Wherein, B 1 and B 2 are the target area and the clutter area in the image respectively, and C 1 and C 2 are the number of pixels in the respective areas. However, this method must obtain prior information such as the location of the target, and the selection of the target area can only rely on experience or target detection, which undoubtedly complicates the problem.
既然是在图像域中进行杂波抑制,不妨从图像特性的度量入手。不难发现,杂波像素的幅度远大于其他像素,而随着杂波像素向量的消除,整个图像的强度肯定会出现明显下降。那么,可以将图像强度作为消除杂波像素向量的评价指标,其定义为Since clutter suppression is performed in the image domain, we might as well start with the measurement of image characteristics. It is not difficult to find that the amplitude of the clutter pixel is much larger than other pixels, and with the elimination of the clutter pixel vector, the intensity of the entire image will definitely drop significantly. Then, the image intensity can be used as an evaluation index to eliminate the clutter pixel vector, which is defined as
随后,还要消除掉部分离散系数较大的背景像素向量,此时图像强度曲线已基本稳定,所以要寻找一个新的评价指标。Subsequently, some background pixel vectors with large discrete coefficients must be eliminated. At this time, the image intensity curve is basically stable, so a new evaluation index must be found.
仍然是从像素幅度入手,除了上面提到的这部分向量,剩下的便是目标像素向量和幅度很小的背景像素向量。若监测剩余像素的均值水平,随着幅度较大的背景像素向量的消除,其均值水平肯定会下降;而在其完全被消除时,均值水平也会稳定下来,这是因为后面再被消除的背景像素向量对均值水平几乎没有影响。所以,可以将剩余像素均值作为消除背景像素向量的评价指标,设剩余像素标号为i∈[m,n],则其定义为Still starting from the pixel amplitude, in addition to the above-mentioned part of the vector, the rest is the target pixel vector and the background pixel vector with a small amplitude. If the average level of the remaining pixels is monitored, as the background pixel vector with a larger amplitude is eliminated, its average level will definitely decrease; and when it is completely eliminated, the average level will also stabilize, because it will be eliminated later. The background pixel vector has little effect on the mean level. Therefore, the mean value of the remaining pixels can be used as the evaluation index for eliminating the background pixel vector, and the label of the remaining pixels is i∈[m,n], then it is defined as
公式16中的指标是最常用的指标,但并不适合本发明中的优化算法,所以也并没有采用。The index in formula 16 is the most commonly used index, but it is not suitable for the optimization algorithm in the present invention, so it is not used.
公式17和18中的指标是发明中所采用的评价指标,在步骤3中通过公式17来计算图像强度,以得到a;在步骤4中通过公式18来计算剩余像素均值,以得到b。The indexes in formulas 17 and 18 are the evaluation indexes adopted in the invention. In
步骤107:利用所述排序后的像素向量和所述像素消除比例确定第一消除比例。步骤107,具体包括:Step 107: Determine a first elimination ratio by using the sorted pixel vector and the pixel elimination ratio. Step 107 specifically includes:
利用所述排序后的像素向量和所述像素消除比例确定像素消除比例下的图像强度。所述利用所述排序后的像素向量和所述像素消除比例确定像素消除比例下的图像强度,具体包括:利用所述排序后的像素向量和所述像素消除比例根据如下公式确定像素消除比例下的图像强度:The image intensity at the pixel removal ratio is determined using the sorted pixel vector and the pixel removal ratio. The determining the image intensity under the pixel elimination ratio using the sorted pixel vector and the pixel elimination ratio specifically includes: determining the pixel elimination ratio under the pixel elimination ratio by using the sorted pixel vector and the pixel elimination ratio according to the following formula: The image intensity of:
其中II为图像强度,Q为像素总量,Ai为第i个像素的幅度。where II is the image intensity, Q is the total number of pixels, and A i is the magnitude of the ith pixel.
将所述图像强度绘制成图像强度变化曲线,确定所述图像强度变化曲线中趋于稳定的第一个点为第一消除比例。The image intensity is drawn into an image intensity change curve, and the first point in the image intensity change curve that tends to be stable is determined as the first elimination ratio.
步骤108:根据所述第一消除比例和像素消除比例确定第二消除比例。步骤108,具体包括:Step 108: Determine a second elimination ratio according to the first elimination ratio and the pixel elimination ratio. Step 108 specifically includes:
根据所述第一消除比例和像素消除比例确定像素消除比例下的剩余像素均值。所述根据所述第一消除比例和像素消除比例确定像素消除比例下的剩余像素均值,具体包括:The average value of the remaining pixels under the pixel elimination ratio is determined according to the first elimination ratio and the pixel elimination ratio. The determining the average value of the remaining pixels under the pixel elimination ratio according to the first elimination ratio and the pixel elimination ratio specifically includes:
根据所述第一消除比例和像素消除比例利用如下公式确定像素消除比例下的剩余像素均值:According to the first elimination ratio and the pixel elimination ratio, the following formula is used to determine the residual pixel mean value under the pixel elimination ratio:
其中,MRP为剩余像素均值,n为剩余像素标号的上限,m为剩余像素标号的下限,Ai为第i个像素的幅度。Among them, M RP is the mean value of the remaining pixels, n is the upper limit of the remaining pixel labels, m is the lower limit of the remaining pixel labels, and A i is the amplitude of the ith pixel.
将所述剩余像素均值绘制成剩余像素均值变化曲线,确定所述剩余像素均值变化曲线中趋于稳定的第一个点为第二消除比例。The residual pixel mean value is drawn into a residual pixel mean value change curve, and the first point in the residual pixel mean value change curve that tends to be stable is determined as the second elimination ratio.
步骤109:根据所述第二消除比例对应的像素值进行复现,得到成像结果。Step 109: Perform reproduction according to the pixel value corresponding to the second elimination ratio to obtain an imaging result.
如图3所示,本发明还提供了基于穿墙雷达杂波抑制的成像方法具体成像方法,步骤如下:As shown in FIG. 3 , the present invention also provides a specific imaging method based on an imaging method based on through-wall radar clutter suppression, the steps are as follows:
步骤1:对穿墙雷达所接收的原始回波信号进行成像处理,确定算法实施的原始图像。Step 1: Perform imaging processing on the original echo signal received by the through-wall radar to determine the original image implemented by the algorithm.
步骤2:基础准备工作,根据公式(8)计算原始图像各像素向量的离散系数,根据离散系数对原始图像中的各像素向量作降序排列,即离散系数越大的像素向量,位置越靠前;确定像素消除比例的步进长度β,即每次所消除像素向量的增量占总的向量数的比例。Step 2: Basic preparatory work, calculate the discrete coefficient of each pixel vector of the original image according to formula (8), and arrange each pixel vector in the original image in descending order according to the discrete coefficient, that is, the pixel vector with the larger discrete coefficient, the higher the position. ; Determine the step length β of the pixel elimination ratio, that is, the ratio of the increment of the pixel vector eliminated each time to the total number of vectors.
步骤3:主杂波抑制,在[0,1]的范围内,根据步进长度来确定每次消除的像素比例,计算各消除比例下的图像强度并绘制成变化曲线,找到曲线趋于稳定的第一个点,认定该点完成了主杂波抑制的工作,并标记其消除比例为a;[0,1]指的是每次像素消除比例的范围,最开始是0,根据步进长度逐渐增大至1。Step 3: Main clutter suppression, in the range of [0,1], determine the pixel ratio of each elimination according to the step length, calculate the image intensity under each elimination ratio and draw a change curve, and find that the curve tends to be stable The first point of , it is determined that this point has completed the main clutter suppression work, and its elimination ratio is marked as a; [0,1] refers to the range of each pixel elimination ratio, which is 0 at the beginning, according to the step The length gradually increases to 1.
步骤4:目标聚焦,在[a,1]的范围内,根据步进长度β来确定每次消除的像素比例,计算各消除比例下的剩余像素均值并绘制成变化曲线,找到曲线趋于相对稳定的第一个点,认定该点完成了目标聚焦的工作,并标记其消除比例为b。Step 4: Focus on the target, in the range of [a, 1], determine the pixel ratio of each elimination according to the step length β, calculate the average value of the remaining pixels under each elimination ratio and draw a change curve, and find that the curve tends to be relative. The first point that is stable is determined to have completed the work of focusing the target, and its elimination ratio is marked as b.
步骤5:以消除比例为b时的各像素取值来复现图像,即为最佳成像结果。Step 5: Reproduce the image with the value of each pixel when the elimination ratio is b, which is the best imaging result.
除此之外,对算法实施过程中的几个细节作下说明:In addition, several details of the algorithm implementation process are explained as follows:
(1)β与穿墙雷达的成像分辨率相关,通常以雷达成像的最小分辨单元占成像面积的比例来近似表示步进长度,即:(1) β is related to the imaging resolution of the through-wall radar. Usually, the step length is approximated by the ratio of the minimum resolution unit of the radar imaging to the imaging area, that is:
其中,δr为距离分辨率,δd为方位分辨率,SI为成像区域的面积,均可从成像场景及原始图像中获得。Among them, δ r is the range resolution, δ d is the azimuth resolution, and S I is the area of the imaging area, which can be obtained from the imaging scene and the original image.
(2)少部分目标像素向量会同系数相近的背景像素向量混杂在一起,出于保留目标像素、确保目标成像质量的目的,常取曲线趋于稳定的第一个点。(2) A small number of target pixel vectors will be mixed with background pixel vectors with similar coefficients. For the purpose of retaining target pixels and ensuring target imaging quality, the first point where the curve tends to be stable is often selected.
(3)同样以保证目标成像质量为前提,该算法尽可能消除多余像素向量来得到最佳成像结果,所以这里的“最佳”是一个相对的概念。(3) Also on the premise of ensuring the image quality of the target, the algorithm eliminates redundant pixel vectors as much as possible to obtain the best imaging result, so the "best" here is a relative concept.
如图4所示,本发明提供的一种基于穿墙雷达杂波抑制的成像系统,包括:As shown in FIG. 4 , an imaging system based on through-wall radar clutter suppression provided by the present invention includes:
获取模块401,用于获取穿墙雷达接收的原始回波信号。The acquiring
成像模块402,用于对所述原始回波信号进行成像处理,确定原始图像。The
离散系数确定模块403,用于根据所述原始图像确定所述原始图像的像素向量的离散系数。所述离散系数确定模块,具体包括:The discrete
离散系数确定单元,用于根据所述原始图像利用如下公式确定所述原始图像像素向量的离散系数:A discrete coefficient determination unit, configured to determine the discrete coefficient of the original image pixel vector using the following formula according to the original image:
其中,Vi为离散系数,σi为向量元素的标准差,μi为向量元素的均值,K为像素向量的维数,qik为像素向量,i为像素向量的个数,k为像素向量维数的个数。Among them, V i is the discrete coefficient, σ i is the standard deviation of the vector elements, μ i is the mean value of the vector elements, K is the dimension of the pixel vector, q ik is the pixel vector, i is the number of pixel vectors, and k is the pixel vector The number of vector dimensions.
排序模块404,用于根据所述离散系数对所述原始图像的像素向量进行排序,得到排序后的像素向量。The
步进长度确定模块405,用于根据所述原始图像确定步进长度。The step
像素消除比例确定模块406,用于根据所述步进长度确定像素消除比例。The pixel elimination
第一消除比例确定模块407,用于利用所述排序后的像素向量和所述像素消除比例确定第一消除比例。A first elimination
第二消除比例确定模块408,用于根据所述第一消除比例和像素消除比例确定第二消除比例。The second elimination
复现模块409,用于根据所述第二消除比例对应的像素值进行复现,得到成像结果。The
本发明避开纠缠复杂的回波信号,在图像域中进行像素层级的杂波抑制。结合穿墙成像后向投影(back projection in through-the-wall imaging,BP-TWI)算法,以像素在各天线通道的分量构成相应的像素向量。不难发现,目标像素向量的元素离散程度远低于其他像素向量,由此引入离散系数来定量描述这一特征。接下来,按照一定的步进长度,逐步消除掉离散系数较大的像素向量。为了更好地标记像素向量消除过程,根据图像强度和剩余像素均值来确定主杂波抑制和目标聚焦的关键点,从而最大程度地抑制杂波和背景像素向量,得到最佳成像结果。最后通过一般情况下和强干扰情况下的仿真,并结合背景对消成像的对比,验证该算法的有效性和可靠性。The invention avoids entangled complex echo signals, and performs pixel-level clutter suppression in the image domain. Combined with the back projection in through-the-wall imaging (BP-TWI) algorithm, the corresponding pixel vector is formed by the components of pixels in each antenna channel. It is not difficult to find that the discrete degree of the elements of the target pixel vector is much lower than that of other pixel vectors, so the discrete coefficient is introduced to quantitatively describe this feature. Next, according to a certain step length, the pixel vectors with larger discrete coefficients are gradually eliminated. In order to better mark the pixel vector elimination process, the key points of main clutter suppression and target focus are determined according to the image intensity and residual pixel mean value, so as to maximize the suppression of clutter and background pixel vectors and obtain the best imaging results. Finally, the effectiveness and reliability of the algorithm are verified by the simulation under normal conditions and strong interference conditions, combined with the comparison of background cancellation imaging.
针对穿墙雷达杂波抑制问题提出了基于像素向量消除的图像域抑制算法,通过仿真证明了该算法具有良好的有效性和可靠性,可较为彻底地抑制杂波,为后续的检测与识别提供准确的目标信息。鉴于一般的回波域算法只能实现对墙体主杂波的抑制,目标成像质量不高,该算法着眼于图像中的像素离散特征,通过消除多余像素向量使目标成像清晰准确,同时,杂波抑制效果的双指标评价体系也大大提高了算法的可靠性。Aiming at the problem of clutter suppression of through-wall radar, an image domain suppression algorithm based on pixel vector elimination is proposed. Simulations have proved that the algorithm has good effectiveness and reliability, and can suppress clutter thoroughly, which provides a good basis for subsequent detection and identification. Accurate target information. In view of the fact that the general echo domain algorithm can only suppress the main clutter of the wall, and the image quality of the target is not high, the algorithm focuses on the pixel discrete features in the image, and eliminates the redundant pixel vector to make the target image clear and accurate. The dual-index evaluation system of wave suppression effect also greatly improves the reliability of the algorithm.
本说明书中各个实施例采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似部分互相参见即可。The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments, and the same and similar parts between the various embodiments can be referred to each other.
本文中应用了具体个例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处。综上所述,本说明书内容不应理解为对本发明的限制。In this paper, specific examples are used to illustrate the principles and implementations of the present invention. The descriptions of the above embodiments are only used to help understand the methods and core ideas of the present invention; meanwhile, for those skilled in the art, according to the present invention There will be changes in the specific implementation and application scope. In conclusion, the contents of this specification should not be construed as limiting the present invention.
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