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CN114280566B - One-dimensional range profile identification method based on class label association - Google Patents

One-dimensional range profile identification method based on class label association Download PDF

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CN114280566B
CN114280566B CN202111448633.5A CN202111448633A CN114280566B CN 114280566 B CN114280566 B CN 114280566B CN 202111448633 A CN202111448633 A CN 202111448633A CN 114280566 B CN114280566 B CN 114280566B
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周代英
冯健
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University of Electronic Science and Technology of China
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Abstract

The invention discloses a method for identifying a one-dimensional range profile associated with a class of tags, and belongs to the technical field of radar target identification. The class label association one-dimensional range profile recognition method utilizes the training data set and the corresponding class label vector to construct the class label association subspace, and the class information is directly obtained by carrying out association projection on the one-dimensional range profile sample of the input target, so that a classifier is not required to be introduced to carry out final class decision, the problem that the recognition performance is reduced due to the adoption of the classifier in the conventional recognition method is avoided, and the recognition rate of the target is improved.

Description

一种类标签关联一维距离像识别方法One-dimensional range image recognition method based on class label association

技术领域technical field

本发明属于雷达目标识别技术领域,具体涉及一种类标签关联一维距离像识别方法。The invention belongs to the technical field of radar target recognition, and in particular relates to a one-dimensional range image recognition method associated with class tags.

背景技术Background technique

宽带雷达获取的一维距离像包含了目标结构和形状的信息,非常有利于目标分类,从而能够获得更高的分类性能,与雷达二维像相比,在获取容易度和实时识别难度上一维距离像更有优势,因此,一维距离像识别成为了当前雷达目标识别领域的热点。The one-dimensional range image obtained by broadband radar contains the information of the target structure and shape, which is very beneficial to target classification, so that higher classification performance can be obtained. Compared with the two-dimensional radar image, it is easier to obtain and harder to identify One-dimensional range image is more advantageous, therefore, one-dimensional range image recognition has become a hot spot in the field of radar target recognition.

常规雷达目标识别方法仍然属于经典模式识别方法,首先必须提取目标的分类特征,然后,采用分类器对目标的类别进行最后的决策,但是,分类器可能引入一定的分类错误,导致整个系统的识别率下降。因此,常规目标识别方法的性能有进一步改善的余地。The conventional radar target recognition method still belongs to the classic pattern recognition method. First, the classification features of the target must be extracted, and then the classifier is used to make the final decision on the target category. However, the classifier may introduce certain classification errors, which will lead to the recognition of the entire system rate drops. Therefore, there is room for further improvement in the performance of conventional object recognition methods.

发明内容Contents of the invention

本发明提供了一种类标签关联一维距离像识别方法,可用于提升雷达目标识别性能。The invention provides a one-dimensional range image recognition method associated with class tags, which can be used to improve the performance of radar target recognition.

本发明采用的技术方案为:The technical scheme adopted in the present invention is:

一种类标签关联一维距离像识别方法,该方法包括:A class label associated one-dimensional distance image recognition method, the method comprising:

定义xij表示第i类已知目标的第j个训练一维距离像,1≤i≤g,1≤j≤Ni,其中,g为类别数,Ni为第i类已知目标的训练样本数;Define x ij to represent the j-th training one-dimensional range image of the i-th known target, 1≤i≤g, 1≤j≤N i , where g is the number of categories, N i is the i-th known target number of training samples;

定义yij表示一维距离像xij的类标签矢量,其中yij是g维列矢量,第i个元素的值为1,其它元素的值为0;Define y ij to represent a class label vector with a one-dimensional distance like x ij , where y ij is a g-dimensional column vector, the value of the i-th element is 1, and the value of other elements is 0;

计算一维距离像样本的自相关矩阵RXY=XYT,其中,一维距离像样本矩阵

Figure GDA0004180123830000011
Calculate the autocorrelation matrix R XY = XY T of one-dimensional range image samples, where the one-dimensional range image sample matrix
Figure GDA0004180123830000011

计算一维距离像样本与相应类标签矢量之间的互相关矩阵RXY=XYT,其中,类标签矩阵

Figure GDA0004180123830000012
Calculate the cross-correlation matrix R XY =XY T between one-dimensional range image samples and corresponding class label vectors, where the class label matrix
Figure GDA0004180123830000012

基于自相关矩阵RXX和互相关矩阵RXY构建关联子空间

Figure GDA0004180123830000013
Construct Correlation Subspace Based on Autocorrelation Matrix R XX and Cross Correlation Matrix R XY
Figure GDA0004180123830000013

对输入的待识别目标的一维距离像xt进行变换,得到其类标签矢量yt=WTxt,其中,矢量yt为g维列矢量;Transform the input one-dimensional distance image x t of the target to be identified to obtain its class label vector y t =W T x t , where the vector y t is a g-dimensional column vector;

基于一维距离像xt的类标签矢量yt判定其类别:遍历矢量yt中的每个元素,若当前元素(yt,k)均小于其余元素(即yt,k>yt,l,l=1,2,…g,l≠k),则判定一维距离像xt的目标类别为当前元素所对应的类别,即属于第k类。Determine its category based on the class label vector y t of the one-dimensional distance image x t : traverse each element in the vector y t , if the current element (y t,k ) is smaller than the rest of the elements (ie y t,k >y t, l , l=1,2,...g,l≠k), then it is determined that the target category of the one-dimensional range image x t is the category corresponding to the current element, that is, it belongs to the kth category.

为了进一步保证识别性能,根据公式RXX=(XXT+λI)计算一维距离像样本与相应类标签矢量之间的自相关矩阵RXX,其中,I表示单位矩阵,λ表示调节因子。In order to further ensure the recognition performance, the autocorrelation matrix R XX between the one-dimensional range image sample and the corresponding class label vector is calculated according to the formula R XX =(XX T +λI), where I represents the identity matrix and λ represents the adjustment factor.

本发明提供的技术方案至少带来如下有益效果:The technical solution provided by the present invention brings at least the following beneficial effects:

本发明利用训练数据集和对应的类标签矢量,构建类标签关联子空间,通过对输入目标的一维距离像样本进行关联投影,直接得到所属的类别信息,不需要引入分类器进行最后的类别决策,避免了常规识别方法由于采用分类器而使识别性能有所下降,从而改善了对目标的识别率。The present invention uses the training data set and the corresponding class label vector to construct the class label associated subspace, and directly obtains the category information to which it belongs by performing associated projection on the one-dimensional range image sample of the input target, without introducing a classifier for the final category Decision-making avoids the decline in recognition performance of conventional recognition methods due to the use of classifiers, thereby improving the recognition rate of targets.

具体实施方式Detailed ways

为使本发明的目的、技术方案和优点更加清楚,下面将对本发明实施方式作进一步地详细描述。In order to make the purpose, technical solution and advantages of the present invention clearer, the implementation manners of the present invention will be further described in detail below.

本发明实施例提供了一种类标签关联目标识别方法,通过关联变换子空间对输入目标的一维距离像样本进行投影,直接得到相应的类标签信息,避免了由于引入分类器而带来的识别性能下降,从而改善了对目标的识别率。The embodiment of the present invention provides a class label associated target recognition method, which projects the one-dimensional range image sample of the input target through the associated transformation subspace, and directly obtains the corresponding class label information, avoiding the identification caused by the introduction of the classifier Performance drops, resulting in improved target recognition.

本发明实施例提供的一种类标签关联目标识别方法,包括:An embodiment of the present invention provides a class label associated target recognition method, including:

类标签关联识别方法:Class label association identification method:

设xij(n维列矢量)为第i类已知目标的第j个训练一维距离像,1≤i≤g,1≤j≤Ni

Figure GDA0004180123830000021
其中,g为类别数,Ni为第i类已知目标的训练样本数,N为训练样本总数。xij表示相应的类标签矢量为yij,是g维列矢量,第i个元素的值为1,其它元素的值为0。由xij组成一维距离像样本矩阵X:Let x ij (n-dimensional column vector) be the j-th training one-dimensional range image of the i-th type of known target, 1≤i≤g, 1≤j≤N i ,
Figure GDA0004180123830000021
Among them, g is the number of categories, N i is the number of training samples of the i-th known target, and N is the total number of training samples. x ij indicates that the corresponding class label vector is y ij , which is a g-dimensional column vector, the value of the i-th element is 1, and the value of other elements is 0. A one-dimensional distance image sample matrix X is composed of x ij :

Figure GDA0004180123830000022
Figure GDA0004180123830000022

由类标签矢量yij构成类标签矩阵Y:The class label matrix Y is constructed from the class label vector y ij :

Figure GDA0004180123830000023
Figure GDA0004180123830000023

计算一维距离像样本的自相关矩阵RXXCalculate the autocorrelation matrix R XX of one-dimensional range image samples:

RXX=XXT (3)R XX = XX T (3)

其中,上标“T”表示矩阵转置,为了避免RXX是奇异矩阵,引入调节因子λ,λ为经验值,可由实验确定具体的取值。Among them, the superscript "T" means matrix transposition. In order to avoid R XX being a singular matrix, an adjustment factor λ is introduced. λ is an empirical value, and the specific value can be determined by experiments.

RXX=(XXT+λI) (4)R XX =(XX T +λI) (4)

其中,I为单位矩阵。计算一维距离像样本与相应类标签矢量之间的互相关矩阵RXY Among them, I is the identity matrix. Calculate the cross-correlation matrix R XY between one-dimensional range image samples and corresponding class label vectors

RXY=XYT (5)R XY = XY T (5)

基于样本自相关矩阵和样本与类标签互相关矩阵,构建关联子空间W:Based on the sample autocorrelation matrix and the sample-class label cross-correlation matrix, the associated subspace W is constructed:

Figure GDA0004180123830000031
Figure GDA0004180123830000031

对输入的待识别目标的一维距离像xt,进行如下变换,得到相应的类标签矢量ytPerform the following transformation on the input one-dimensional distance image x t of the target to be identified to obtain the corresponding class label vector y t :

yt=WTxt (7)y t = W T x t (7)

若满足:If satisfied:

Figure GDA0004180123830000032
Figure GDA0004180123830000032

其中,yt,k和yt,l是矢量yt中的元素。则判xt属于第k类。where y t,k and y t,l are the elements in the vector y t . Then it is judged that x t belongs to the kth class.

为了验证本发明实施例提供的一种类标签关联一维距离像识别方法的识别性能,进行如下仿真实验:In order to verify the recognition performance of a kind of tag-associated one-dimensional distance image recognition method provided by the embodiment of the present invention, the following simulation experiment is carried out:

设置四种点目标:“|”字型、“V”字型、“干”字型和“小”字型目标。雷达发射脉冲的带宽为150MHZ(距离分辨率为1m,雷达径向取样间隔为0.5m),目标设置为均匀散射点目标,”|”目标的散射点为5,其余三目标的散射点数均为9。在目标姿态角为0°~70°范围内每隔1°的一维距离像中,取目标姿态角为0°、2°、4°、6°、...、70°的一维距离像进行训练,其余姿态角的一维距离像作为测试数据,则每类目标有35个测试样本。Set four point targets: '|', 'V', 'Dry' and 'Small' targets. The bandwidth of the radar emission pulse is 150MHZ (distance resolution is 1m, radar radial sampling interval is 0.5m), the target is set as a uniform scattering point target, the scattering points of the "|" target are 5, and the scattering points of the other three targets are 9. In the one-dimensional range images with target attitude angles ranging from 0° to 70° at intervals of 1°, take the one-dimensional distances with target attitude angles of 0°, 2°, 4°, 6°,...,70° The image is trained, and the one-dimensional range image of the other attitude angles is used as the test data, so there are 35 test samples for each type of target.

对四种目标(“|”字型目标、“V”字型目标、“干”字型目标和“小”字型目标),在姿态角0°~70°范围内,利用本发明实施例提供的类标签关联识别方法和常规的基于特征子空间的识别方法进行了识别实验,对4类目标的平均识别率达到87%,而常规的基于特征子空间的识别方法的平均识别率为82%左右,从而验证了本发明实施例提供的识别方法确能改善对多类目标的识别性能。For four kinds of targets ("|" font target, "V" font target, "dry" font target and "small" font target), within the range of attitude angle 0°~70°, using the embodiment of the present invention The provided class label association recognition method and the conventional recognition method based on feature subspace have carried out recognition experiments, and the average recognition rate of 4 types of targets reaches 87%, while the average recognition rate of the conventional recognition method based on feature subspace is 82%. %, thus verifying that the recognition method provided by the embodiment of the present invention can indeed improve the recognition performance of multi-type targets.

最后应说明的是:以上实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的精神和范围。Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: it can still be Modifications are made to the technical solutions described in the foregoing embodiments, or equivalent replacements are made to some of the technical features; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the various embodiments of the present invention.

以上所述的仅是本发明的一些实施方式。对于本领域的普通技术人员来说,在不脱离本发明创造构思的前提下,还可以做出若干变形和改进,这些都属于本发明的保护范围。What have been described above are only some embodiments of the present invention. For those skilled in the art, without departing from the inventive concept of the present invention, several modifications and improvements can be made, and these all belong to the protection scope of the present invention.

Claims (2)

1.一种类标签关联一维距离像识别方法,其特征在于,包括下列步骤:1. A method for class tag-associated one-dimensional distance image recognition, characterized in that, comprising the following steps: 定义xij表示第i类已知目标的第j个训练一维距离像,1≤i≤g,1≤j≤Ni,其中,g为目标类别数,Ni为第i类已知目标的训练样本数;Define x ij to represent the j-th training one-dimensional range image of the i-th known target, 1≤i≤g, 1≤j≤N i , where g is the number of target categories, and N i is the i-th known target The number of training samples; 定义yij表示一维距离像xij的类标签矢量,其中yij是g维列矢量,类标签矢量的第i个元素的值为1,其它元素的值为0;Define y ij to represent a class label vector with a one-dimensional distance like x ij , where y ij is a g-dimensional column vector, the value of the i-th element of the class label vector is 1, and the value of other elements is 0; 计算一维距离像样本的自相关矩阵RXX=(XXT+λI),其中,一维距离像样本矩阵
Figure FDA0004180123820000011
I表示单位矩阵,λ表示调节因子;
Calculate the autocorrelation matrix R XX of the one-dimensional range image sample = (XX T + λI), wherein, the one-dimensional range image sample matrix
Figure FDA0004180123820000011
I represents the identity matrix, and λ represents the adjustment factor;
计算一维距离像样本与相应类标签矢量之间的互相关矩阵RXY=XYT,其中,类标签矩阵
Figure FDA0004180123820000012
Calculate the cross-correlation matrix R XY =XY T between one-dimensional range image samples and corresponding class label vectors, where the class label matrix
Figure FDA0004180123820000012
基于自相关矩阵RXX和互相关矩阵RXY构建关联子空间
Figure FDA0004180123820000013
Construct Correlation Subspace Based on Autocorrelation Matrix R XX and Cross Correlation Matrix R XY
Figure FDA0004180123820000013
对输入的待识别目标的一维距离像xt进行变换,得到其类标签矢量yt=WTxtTransform the input one-dimensional range image x t of the target to be identified to obtain its class label vector y t = W T x t ; 基于一维距离像xt的类标签矢量yt判定其类别:遍历矢量yt中的每个元素,将当前元素与矢量yt中的其余元素进行比较,若均小于,则当前元素所对应的类别为一维距离像xt的目标类别。Determine its category based on the class label vector y t of the one-dimensional distance image x t : Traverse each element in the vector y t , compare the current element with the rest of the vector y t , if they are less than, then the current element corresponds to The category of is the target category of the one-dimensional distance image x t .
2.如权利要求1所述的方法,其特征在于,根据公式RXX=(XXT+λI)计算一维距离像样本与相应类标签矢量之间的自相关矩阵RXX,其中,I表示单位矩阵,λ表示预置的调节因子。2. The method according to claim 1, characterized in that, calculate the autocorrelation matrix R XX between the one-dimensional range image sample and the corresponding class label vector according to the formula R XX =(XX T +λI ) , wherein, I represents The identity matrix, λ represents the preset adjustment factor.
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