CN102621535B - High-efficiency method for estimating covariance matrix structures - Google Patents

High-efficiency method for estimating covariance matrix structures Download PDF

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CN102621535B
CN102621535B CN2012100709574A CN201210070957A CN102621535B CN 102621535 B CN102621535 B CN 102621535B CN 2012100709574 A CN2012100709574 A CN 2012100709574A CN 201210070957 A CN201210070957 A CN 201210070957A CN 102621535 B CN102621535 B CN 102621535B
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covariance matrix
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matrix structure
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何友
顾新锋
简涛
徐从安
郝晓琳
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Naval Aeronautical University
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Abstract

本发明公开了一种高效的协方差矩阵结构估计方法,属于雷达信号处理领域,主要解决非高斯杂波波背景下雷达目标自适应检测的协方差矩阵结构估计问题。针对传统的采样协方差矩阵和归一化采样协方差矩阵都无法使得对应的自适应检测器具备完全CFAR特性问题,本发明采用实部和虚部数据相除的方法进行预处理后求采样协方差矩阵,保证了得到的初始化矩阵对杂波具有完全CFAR特性,再充分利用辅助数据的实部和虚部进行迭代,不仅降低了迭代过程中的计算复杂度,还有助于提高估计精度,本发明在雷达目标自适应CFAR检测器中具有推广应用价值。

Figure 201210070957

The invention discloses an efficient covariance matrix structure estimation method, belongs to the field of radar signal processing, and mainly solves the problem of covariance matrix structure estimation of radar target self-adaptive detection under the background of non-Gaussian clutter waves. Aiming at the problem that neither the traditional sampling covariance matrix nor the normalized sampling covariance matrix can make the corresponding adaptive detector have complete CFAR characteristics, the present invention uses the method of dividing the real part and imaginary part data to calculate the sampling covariance after preprocessing. The variance matrix ensures that the obtained initialization matrix has complete CFAR characteristics for the clutter, and then makes full use of the real and imaginary parts of the auxiliary data to iterate, which not only reduces the computational complexity in the iterative process, but also helps to improve the estimation accuracy. The invention has popularization and application value in radar target adaptive CFAR detector.

Figure 201210070957

Description

一种高效的协方差矩阵结构估计方法An efficient method for estimating the structure of covariance matrix

一、技术领域 1. Technical field

本发明隶属于雷达目标自适应检测领域,具体涉及一种高效的协方差矩阵结构估计方法。The invention belongs to the field of radar target self-adaptive detection, and in particular relates to an efficient covariance matrix structure estimation method.

二、背景技术 2. Background technology

雷达目标的自适应恒虚警率(constant false alarm ratio,CFAR)检测是雷达目标检测的一项重要内容。对于单阵元雷达目标检测,只需要通过估计被检测单元杂波功率水平,即可实现目标的自适应CFAR检测。然而,当雷达为多阵元雷达时,通过对各阵元回波信号的相参积累可以有效的提高目标检测概率,但同时也需要估计更多的杂波参数。Adaptive constant false alarm ratio (CFAR) detection of radar targets is an important part of radar target detection. For single-array radar target detection, it is only necessary to estimate the clutter power level of the detected unit to achieve adaptive CFAR detection of the target. However, when the radar is a multi-element radar, the target detection probability can be effectively improved by coherent accumulation of the echo signals of each array element, but at the same time, more clutter parameters need to be estimated.

在高斯杂波背景下,采样协方差矩阵SCM(sample covariance matrix)是协方差矩阵的最大似然估计(maximum likelihood estimate,MLE),直接利用SCM代替协方差矩阵的真实值即可得到雷达目标的自适应CFAR检测器。然而,在高分辨率或低入射角情况下,雷达杂波更多的表现为非高斯的形式,这时,高斯模型不再能精确的模拟雷达杂波。In the Gaussian clutter background, the sample covariance matrix SCM (sample covariance matrix) is the maximum likelihood estimate (MLE) of the covariance matrix, and the radar target can be obtained by directly using the SCM instead of the real value of the covariance matrix. Adaptive CFAR detector. However, in the case of high resolution or low angle of incidence, the radar clutter is more in the form of non-Gaussian, at this time, the Gaussian model can no longer accurately simulate the radar clutter.

对于非高斯杂波,通常采用球不变随机向量(spherically invariant random vector,SIR V)进行建模,如经典的K分布杂波,威布尔分布杂波等都可以用SIRV建模。SIRV是由表示杂波功率水平的纹理分量与表示杂波散斑分量的高斯随机向量乘积组成,通常认为,不同距离单元的纹理分量值不同,但具有相同的散斑分量协方差矩阵。散斑分量的协方差矩也被称为杂波的协方差矩阵结构。在这种用SIRV建模的非高斯杂波背景下,Conte E等人假设杂波协方差矩阵已知,提出了归一化匹配滤波器(normalized matched Filter,NMF),并进一步指出,只需要利用协防差矩阵的合适估计值代替NMF中的协方差矩阵,即可得到相应的自适应检测器ANMF(adaptive NMF)。由于ANMF检测器本身对杂波功率水平具有不变性,因此,只需要对杂波协方差矩阵结构进行估计。由于在这种SIRV建模的非高斯杂波背景下,杂波协方差矩阵结构的最大似然估计很难获得,因此,协方差矩阵结构的估计问题成为了解决该杂波背景下雷达目标自适应检测的关键。For non-Gaussian clutter, spherically invariant random vector (SIR V) is usually used for modeling, such as the classic K distribution clutter, Weibull distribution clutter, etc. can be modeled by SIRV. SIRV is composed of the product of the texture component representing the clutter power level and the Gaussian random vector representing the clutter speckle component. It is generally believed that the texture component values of different distance units are different, but have the same speckle component covariance matrix. The covariance moment of the speckle component is also called the covariance matrix structure of the clutter. Under the background of non-Gaussian clutter modeled by SIRV, Conte E et al. assumed that the clutter covariance matrix was known, and proposed a normalized matched filter (NMF), and further pointed out that only need The corresponding adaptive detector ANMF (adaptive NMF) can be obtained by replacing the covariance matrix in the NMF with the appropriate estimated value of the co-avoidance matrix. Since the ANMF detector itself is invariant to the clutter power level, only the structure of the clutter covariance matrix needs to be estimated. Since it is difficult to obtain the maximum likelihood estimation of the clutter covariance matrix structure under the non-Gaussian clutter background of SIRV modeling, the estimation problem of the covariance matrix structure becomes the The key to adaptive testing.

一种方法是采用SCM做为协方差矩阵结构的估计值,其得到的自适应检测器称为SCM-ANMF。SCM-ANMF对杂波协方差矩阵结构具有CFAR特性,但无法保证对杂波纹理分量的CFAR特性,因此,SCM-ANMF并不是完全CFAR检测器。另一种方法时对每个距离单元杂波采用归一化的方法消除纹理分量的影响,即采用归一化SCM(normalized SCM,NSCM)做为协方差矩阵结构的估计,得到的自适应检测器称为NSCM-ANMF。NSCM-ANMF虽然保证了对杂波纹理分量的CFAR特性,却又无法保证对杂波协方差矩阵结构的CFAR特性,因此,SCM-ANMF也不是完全CFAR检测器。从自适应检测器的CFAR特性角度考虑,SCM和NSCM都不是有效的估计方法。One method is to use SCM as an estimate of the covariance matrix structure, and the resulting adaptive detector is called SCM-ANMF. SCM-ANMF has CFAR properties for clutter covariance matrix structure, but cannot guarantee CFAR properties for clutter texture components, therefore, SCM-ANMF is not a complete CFAR detector. Another method is to use a normalized method for each distance unit clutter to eliminate the influence of texture components, that is, to use normalized SCM (normalized SCM, NSCM) as the estimate of the covariance matrix structure, and the obtained adaptive detection The device is called NSCM-ANMF. Although NSCM-ANMF guarantees the CFAR characteristics of the clutter texture components, it cannot guarantee the CFAR characteristics of the clutter covariance matrix structure. Therefore, SCM-ANMF is not a complete CFAR detector. Considering the CFAR characteristics of adaptive detectors, neither SCM nor NSCM is an effective estimation method.

Gini F提出了一种利用NSCM做为初始化矩阵的迭代估计方法,简称为NSCM-RE。NSCM-RE在有限次迭代下,相应的ANMF从理论上来讲并不具有完全CFAR特性,但NSCM-RE经过多次迭代后,相应的ANMF具有近似的CFAR特性。目前NSCM-RE在非高斯杂波的自适应检测中得到了广泛的应用。但NSCM-RE需要经过多次迭代才能使对应的自适应检测器具有近似的CFAR特性,这样明显增加了计算复杂度。Gini F proposed an iterative estimation method using NSCM as the initialization matrix, referred to as NSCM-RE. Under the finite number of iterations of NSCM-RE, the corresponding ANMF does not have complete CFAR characteristics theoretically, but after multiple iterations of NSCM-RE, the corresponding ANMF has approximate CFAR characteristics. At present, NSCM-RE has been widely used in the adaptive detection of non-Gaussian clutter. However, NSCM-RE needs multiple iterations to make the corresponding adaptive detector have approximate CFAR characteristics, which obviously increases the computational complexity.

三、发明内容 3. Contents of the invention

1.要解决的技术问题1. Technical problems to be solved

本发明的目的是为非高斯杂波背景下多阵元雷达目标自适应CFAR检测提供一种高效的杂波协方差矩阵结构估计方法,其中要解决的主要技术问题包括:The purpose of the present invention is to provide a kind of efficient clutter covariance matrix structure estimation method for multi-element radar target adaptive CFAR detection under the non-Gaussian clutter background, wherein the main technical problems to be solved include:

(1)协方差矩阵结构的初始化估计,使得估计矩阵代入到NMF检测器后得到的自适应检测器ANMF对杂波协方差矩阵结构和杂波纹理分量都具有CFAR特性;(1) The initialization estimation of the covariance matrix structure, so that the adaptive detector ANMF obtained after the estimation matrix is substituted into the NMF detector has CFAR characteristics for both the clutter covariance matrix structure and the clutter texture component;

(2)高效的迭代估计,使得迭代以后具有更高的估计精度,且具有较低的计算复杂度。(2) Efficient iterative estimation, which leads to higher estimation accuracy and lower computational complexity after iteration.

2.技术方案2. Technical solution

本发明所述高效的协方差矩阵结构估计方法包括以下技术措施:首先,利用辅助数据的实部(I通道数据)除以虚部(Q通道数据)第一个元数进行数据预处理,再对预处理后的数据计算SCM,然后,利用辅助数据的虚部(Q通道数据)除以实部(I通道数据)第一个元数进行数据预处理,再对预处理后的数据计算SCM,再对得到的两个SCM相加后除以辅助单元数得到协方差矩阵结构的初始化估计矩阵,最后,利用初始化估计矩阵进行迭代得到协方差矩阵结构的估计值。The efficient covariance matrix structure estimation method of the present invention comprises the following technical measures: first, utilize the real part (I channel data) of auxiliary data to be divided by the first element of imaginary part (Q channel data) to carry out data preprocessing, then Calculate the SCM for the preprocessed data, then divide the imaginary part (Q channel data) of the auxiliary data by the first element of the real part (I channel data) for data preprocessing, and then calculate the SCM for the preprocessed data , and then add the obtained two SCMs and divide by the number of auxiliary units to obtain the initialization estimation matrix of the covariance matrix structure. Finally, use the initialization estimation matrix to iterate to obtain the estimated value of the covariance matrix structure.

上述技术方案中,由于辅助数据实部和虚部包含相同的纹理分量值,利用辅助数据的实部除以虚部第一个元数,一方面可以有效的消除纹理纹理对协方差矩阵结构估计的影响;另一方面不会引入散斑分量之间的相关性,从而保证得到的初始估计矩阵对应的ANMF对杂波协方差矩阵结构和杂波纹理分量都具有CFAR特性。In the above technical solution, since the real part and the imaginary part of the auxiliary data contain the same texture component value, dividing the real part of the auxiliary data by the first element of the imaginary part can effectively eliminate the texture estimation of the covariance matrix structure on the one hand. On the other hand, the correlation between speckle components will not be introduced, so as to ensure that the ANMF corresponding to the obtained initial estimation matrix has CFAR characteristics for both the clutter covariance matrix structure and the clutter texture component.

上述技术方案中,由于一次复数运算相当于四次实数运算,与NSCM-RE相比,本发明只需要进行实数运算,不仅可以减少一半的计算量,还有助于提高估计精度。In the above technical solution, since one complex number operation is equivalent to four real number operations, compared with NSCM-RE, the present invention only needs to perform real number operations, which can not only reduce the calculation amount by half, but also help to improve the estimation accuracy.

3.有益效果3. Beneficial effect

本发明与NSCM-RE相比具有如下的优点:Compared with NSCM-RE, the present invention has the following advantages:

(1)该方法对应的自适应检测器ANMF对杂波协方差矩阵结构和杂波纹理分量都具有CFAR特性;(1) The adaptive detector ANMF corresponding to this method has CFAR characteristics for both the clutter covariance matrix structure and the clutter texture component;

(2)该方法在相同辅助数据和相同迭代次数下比NSCM-RE具有更高的估计精度;(2) This method has higher estimation accuracy than NSCM-RE under the same auxiliary data and the same number of iterations;

(3)该方法在相同辅助数据和相同迭代次数下计算复杂度比NSCM-RE低;(3) The calculation complexity of this method is lower than that of NSCM-RE under the same auxiliary data and the same number of iterations;

四、附图说明 4. Description of drawings

说明书辅图中图1为本发明对应的自适应检测器ANMF方框图,图2为本发明协方差矩阵结构估计的流程图。图1中装置1的功能由图2实现,装置2计算检测统计量,装置3是判决器。Fig. 1 in the supplementary figure of the specification is a block diagram of the adaptive detector ANMF corresponding to the present invention, and Fig. 2 is a flow chart of covariance matrix structure estimation in the present invention. The function of device 1 in Fig. 1 is realized by Fig. 2, device 2 calculates detection statistics, and device 3 is a decision device.

图2中装置1和装置2是数据预处理器,装置3和装置4是采样协方差矩阵计算器,装置5是迭代器。In Fig. 2, devices 1 and 2 are data preprocessors, devices 3 and 4 are sampling covariance matrix calculators, and device 5 is an iterator.

五、具体实施方式 5. Specific implementation

图1为本发明对应的自适应检测器ANMF方框图。首先,利用辅助单元数据zt(t=1,2,...,K)通过装置1估计杂波协方差矩阵结构估计值

Figure BSA00000686109800031
再利用被检测单元数据z0计算通过装置2计算检测统计量λ,FIG. 1 is a block diagram of an adaptive detector ANMF corresponding to the present invention. First, use the auxiliary unit data z t (t = 1, 2, ..., K) to estimate the structure estimation value of the clutter covariance matrix through the device 1
Figure BSA00000686109800031
Utilize the detected unit data z0 to calculate and calculate the detection statistic λ by the device 2,

λλ == || pp Hh ΣΣ ^^ -- 11 zz 00 || 22 (( pp Hh ΣΣ ^^ -- 11 pp )) (( zz 00 Hh ΣΣ ^^ -- 11 zz 00 )) -- -- -- (( 11 ))

式中,p为已知的方向矢量。最后通过装置3,对检测统计量λ与由给定虚警概率相应的检测门限T比较,判别目标存在与否,若λ≥T,判决为目标存在,否则判决目标不存在。In the formula, p is the known direction vector. Finally, through the device 3, the detection statistic λ is compared with the detection threshold T corresponding to the given false alarm probability to determine whether the target exists or not. If λ≥T, it is judged that the target exists, otherwise it is judged that the target does not exist.

下面结合说明书附图2(即图1中的装置2)对本发明作进一步详细描述。参照说明书附图2,本发明的具体实施方式分为以下几个步骤:The present invention will be further described in detail below in conjunction with accompanying drawing 2 of the specification (ie, device 2 in Fig. 1 ). With reference to accompanying drawing 2 of specification sheet, the specific implementation mode of the present invention is divided into the following several steps:

步骤1:确定辅助距离单元数据zt,t=1,...,K,其中, z t ( 1 ) = [ z t ( 1 ) ( 1 ) , z t ( 1 ) ( 2 ) , . . . , z t ( 1 ) ( N ) ] T 表示来自I通道的回波数据, z t ( 2 ) = [ z t ( 2 ) ( 1 ) , z t ( 2 ) ( 2 ) , . . . , z t ( 2 ) ( N ) ] T 表示来自Q通道的回波数据,N表示接收信号雷达阵元数。Step 1: Determine the auxiliary distance unit data z t , t=1,..., K, where, z t ( 1 ) = [ z t ( 1 ) ( 1 ) , z t ( 1 ) ( 2 ) , . . . , z t ( 1 ) ( N ) ] T Indicates the echo data from the I channel, z t ( 2 ) = [ z t ( 2 ) ( 1 ) , z t ( 2 ) ( 2 ) , . . . , z t ( 2 ) ( N ) ] T Indicates the echo data from the Q channel, and N indicates the number of received signal radar array elements.

步骤2:通过装置1计算zt实部数据除以zt虚部数据第一个分量得到

Figure BSA00000686109800036
即Step 2: Calculate z t real part data by device 1 and divide the first component of z t imaginary part data to get
Figure BSA00000686109800036
Right now

ythe y tt (( 11 )) == zz tt (( 11 )) // zz tt (( 22 )) (( 11 )) -- -- -- (( 22 ))

步骤3:通过装置2计算zt虚部数据除以zt实部数据第一个分量得到

Figure BSA00000686109800038
即Step 3: Calculate z t imaginary part data by device 2 and divide the first component of z t real part data to get
Figure BSA00000686109800038
Right now

ythe y tt (( 22 )) == zz tt (( 22 )) // zz tt (( 11 )) (( 11 )) -- -- -- (( 33 ))

步骤4:通过装置3计算

Figure BSA000006861098000310
的采样协方差矩阵,即Step 4: Calculation by device 3
Figure BSA000006861098000310
The sampling covariance matrix of

ΣΣ ^^ 00 (( 11 )) == ΣΣ tt == 11 KK ythe y tt (( 11 )) ythe y tt (( 11 )) TT -- -- -- (( 44 ))

步骤5:通过装置4计算

Figure BSA000006861098000312
的采样协方差矩阵,即Step 5: Calculation by device 4
Figure BSA000006861098000312
The sampling covariance matrix of

ΣΣ ^^ 00 (( 22 )) == ΣΣ tt == 11 KK ythe y tt (( 22 )) ythe y tt (( 22 )) TT -- -- -- (( 55 ))

步骤6:对步骤3和步骤4得到的采样协方差矩阵求和后除以距离单元数得到协方差矩阵结构的初始估计值,即Step 6: Sum the sampling covariance matrices obtained in Step 3 and Step 4 and divide by the number of distance units to obtain an initial estimate of the covariance matrix structure, namely

ΣΣ ^^ (( 00 )) == (( ΣΣ ^^ 00 (( 11 )) ++ ΣΣ ^^ 00 (( 22 )) )) // KK -- -- -- (( 66 ))

步骤7:将

Figure BSA000006861098000315
利用迭代器进行迭代,对于初始化估计矩阵,m=0,迭代后m=m+1,迭代过程为Step 7: Put
Figure BSA000006861098000315
Use the iterator to iterate, for the initialization estimation matrix, m=0, after iteration m=m+1, the iterative process is

ΣΣ ^^ (( mm ++ 11 )) == NN KK ΣΣ tt == 11 KK (( zz tt (( 11 )) zz tt (( 11 )) TT ++ zz tt (( 22 )) zz tt (( 22 )) TT zz tt (( 11 )) TT (( ΣΣ ^^ (( mm )) )) -- 11 zz tt (( 11 )) ++ zz tt (( 22 )) TT (( ΣΣ ^^ (( mm )) )) -- 11 zz tt (( 22 )) )) -- -- -- (( 77 ))

步骤8:经过迭代后若m=M(M为设定的迭代次数),则

Figure BSA000006861098000317
为本发明得到的协方差矩阵结构估计值,否则,将
Figure BSA000006861098000318
作为输入值利用步骤7继续迭代。Step 8: After iteration, if m=M (M is the set number of iterations), then
Figure BSA000006861098000317
is the estimated value of the covariance matrix structure obtained by the present invention, otherwise, it will be
Figure BSA000006861098000318
The iteration continues with step 7 as an input value.

Claims (9)

1. an efficient covariance matrix structure method of estimation is characterized in that comprising the following steps:
Step 1: be identified for receiving signal radar array number, be detected unit and auxiliary data unit, record the echo data of each range unit;
Step 2: the data to each range unit of I passage are carried out pre-service;
Step 3: the data to each range unit of Q passage are carried out pre-service;
Step 4: the pretreated data of I passage are asked to sample covariance matrix;
Step 5: the pretreated data of Q passage are asked to sample covariance matrix;
Step 6: after the sample covariance matrix summation that step 4 and step 5 are obtained, divided by auxiliary range unit number, obtain the initialization estimated value of covariance matrix structure;
Step 7: utilize initialization estimated value and the auxiliary data of the covariance matrix structure obtained to carry out iteration, its iterative process is
Figure FSB0000110049430000011
In formula, N means the radar array number, and K means auxiliary range unit number, and t means the range unit numbering,
Figure FSB0000110049430000012
Expression is from the echo data of I passage,
Figure FSB0000110049430000013
Expression is from the echo data of Q passage,
Figure FSB0000110049430000014
Mean the covariance matrix structure estimated value after iteration m time, wherein, when m=0,
Figure FSB0000110049430000015
The initialization estimated value that means the covariance matrix structure;
Step 8: judge that whether iterations meets and should require, if meet, stop iteration, the estimated value of output covariance matrix structure, if do not meet, utilize estimated value that step 7 obtains to turn back to step 7 and continue iteration.
2. a kind of efficient covariance matrix structure method of estimation according to claim 1, it is characterized in that, described step 1 is specially: first be identified for receiving the radar array number N of echoed signal, adopt plural form to record the echo complex data z of each range unit corresponding to each array element of radar t, z t=[z t(1), z t(2) ..., z t(N)] T, t is the range unit numbering, t=0 means detected unit, and t=1,2 ..., K means auxiliary data range unit, z tReal part mean the data of I passage, imaginary part means the data of Q passage, z t(n), n=1,2 ..., N means that range unit that n array element receives is numbered the echoed signal of t.
3. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 2 is specially: for each auxiliary range unit t, to vectorial z tThe real part data
Figure FSB0000110049430000016
All divided by
Figure FSB0000110049430000017
Imaginary data
Figure FSB0000110049430000018
(1) obtain
Figure FSB0000110049430000019
4. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 3 is specially: for each auxiliary range unit t, to vectorial z tImaginary data All divided by z t(1) real part data
Figure FSB00001100494300000111
(1) obtain
Figure FSB00001100494300000112
5. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 4 is specially: ask
Figure FSB00001100494300000113
The sample covariance matrix ∑ (1).
6. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 5 is specially: ask
Figure FSB00001100494300000114
The sample covariance matrix ∑ (2).
7. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 6 is specially: ask ∑ (1)With ∑ (2)And ∑, then ∑ is obtained to the initialization estimated matrix divided by auxiliary unit number K
Figure FSB00001100494300000115
8. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 7 is specially: will
Figure FSB0000110049430000021
As initialized estimated matrix, utilize z tReal part data and imaginary data carry out iteration, obtain the iterative estimate value
Figure FSB0000110049430000022
The initialization value of m is 0, and once, the value of m adds 1 to every iteration.
9. a kind of efficient covariance matrix structure method of estimation according to claim 1, is characterized in that, described step 8 is specially: the value to m is judged, if m reaches the iterations M of setting, be m=M, iteration stops, the estimated value of output covariance matrix structure
Figure FSB0000110049430000023
If m<M, continue step 8.
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