CN103018598A - Method for improving radiating electromagnetic interference mixed signal blind source separation on basis of signal difference - Google Patents
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Abstract
本发明提供了一种基于信号差值改善辐射电磁干扰混合信号盲源分离的方法,用于电磁兼容测试领域。本发明方法通过在各测试位置单独对背景噪声进行测试,再在各测试位置对被试品进行辐射发射测试,将二者测试信号经自适应滤波器处理得到被试品自身发射的电磁干扰混合信号,然后对得到的电磁干扰混合信号组成的信号矩阵进行差值处理,得到新的信号矩阵,对得到的新的信号矩阵利用独立分量分析方法做盲源分离。本发明改善了辐射电磁干扰信号盲源分离效果,提高了分离准确度,还提升了电磁干扰信号盲源分离的分离速度。
The invention provides a method for improving blind source separation of radiated electromagnetic interference mixed signals based on signal difference, which is used in the field of electromagnetic compatibility testing. The method of the present invention tests the background noise separately at each test position, and then conducts a radiation emission test on the tested product at each test position, and processes the two test signals through an adaptive filter to obtain a mixture of electromagnetic interference emitted by the tested product itself. signal, and then perform difference processing on the signal matrix composed of the obtained electromagnetic interference mixed signal to obtain a new signal matrix, and use the independent component analysis method to perform blind source separation on the obtained new signal matrix. The invention improves the effect of blind source separation of radiated electromagnetic interference signals, improves the separation accuracy, and improves the separation speed of blind source separation of electromagnetic interference signals.
Description
技术领域technical field
本发明涉及电磁兼容测试领域,具体涉及一种基于信号差值改善辐射电磁干扰混合信号盲源分离的方法。The invention relates to the field of electromagnetic compatibility testing, in particular to a method for improving blind source separation of radiated electromagnetic interference mixed signals based on signal difference.
背景技术Background technique
根据GJB151A-97《军用设备和分系统电磁发射和敏感度要求》的规定,电磁兼容测试分为电磁干扰(EMI)测试和电磁敏感(EMS)测试两大部分,其中电磁干扰测试又分为传导发射试验和辐射发射试验两部分。其中传导发射试验考察在交、直流电源线上存在的、由被试品产生的干扰信号,而辐射发射试验考察被测设备经空间发射的信号。辐射发射试验是指被试品中的某个部件、天线、电缆或者连接件辐射出来的、通过空间传播的有意或无意的电磁能量。According to the provisions of GJB151A-97 "Electromagnetic Emission and Sensitivity Requirements for Military Equipment and Subsystems", electromagnetic compatibility testing is divided into two parts: electromagnetic interference (EMI) testing and electromagnetic susceptibility (EMS) testing, of which electromagnetic interference testing is divided into conduction There are two parts of emission test and radiation emission test. Among them, the conduction emission test examines the interference signals that exist on the AC and DC power lines and are generated by the tested product, while the radiated emission test examines the signal emitted by the device under test through space. Radiation emission test refers to the intentional or unintentional electromagnetic energy radiated by a certain component, antenna, cable or connector in the tested object and propagated through space.
如附图1所示,现有的电磁辐射发射测试系统一般由接收天线、测量接收机和数据记录装置组成。系统中接收天线用于接收电磁辐射干扰电压,测量接收机一方面用于接收天线收到的电磁辐射干扰电压,另一方面对接收到的电磁辐射干扰电压经天线系数修正为相应的电场强度输出给数据记录装置,数据记录装置用于记录数据序列。As shown in Figure 1, the existing electromagnetic radiation emission test system generally consists of a receiving antenna, a measuring receiver and a data recording device. The receiving antenna in the system is used to receive the electromagnetic radiation interference voltage. On the one hand, the measuring receiver is used to receive the electromagnetic radiation interference voltage received by the antenna. On the other hand, the received electromagnetic radiation interference voltage is corrected by the antenna coefficient to the corresponding electric field strength output. To the data recording device, the data recording device is used to record the data sequence.
对于具有干扰源信号类型未知、数目未知、混合方式未知特点的辐射电磁干扰源,现有的辐射测试面临着较大的困难。而盲源分离理论具有无需知道源信号、无需知道源信号混合方式,仅从混合后的测试信号即可分离出源信号的特点,这与此类源信号的电磁干扰测试问题十分匹配。因此选用盲源分离理论解决现实存在的辐射电磁干扰测试问题是十分合适的。而盲源分离理论中,独立分量分析方法是使用较多的方法。For radiated electromagnetic interference sources with unknown signal types, unknown numbers, and unknown mixing methods, the existing radiation tests are facing great difficulties. The blind source separation theory has the characteristics that the source signal can be separated only from the mixed test signal without knowing the source signal and the source signal mixing method, which is very suitable for the electromagnetic interference test problem of this type of source signal. Therefore, it is very appropriate to choose the theory of blind source separation to solve the actual problem of radiated electromagnetic interference test. In the blind source separation theory, the independent component analysis method is the most used method.
在使用测量接收机采集电磁干扰混合信号时,无法采集电磁干扰混合信号的时间信息,这使得现有测试手段对电磁干扰混合信号的盲源分离效果有限,电磁干扰测试的准确度不够理想。When the measuring receiver is used to collect the mixed electromagnetic interference signal, the time information of the mixed electromagnetic interference signal cannot be collected, which makes the blind source separation effect of the existing test method on the mixed electromagnetic interference signal limited, and the accuracy of the electromagnetic interference test is not ideal.
发明内容Contents of the invention
本发明针对目前电磁辐射发射测试中使用测量接收机采集电磁干扰混合信号时,无法采集电磁干扰混合信号的时间信息,使得对电磁干扰混合信号的盲源分离效果有限,电磁干扰测试的准确度不高的问题,提供了一种基于信号差值改善辐射电磁干扰混合信号盲源分离的方法。The present invention aims at collecting the time information of the electromagnetic interference mixed signal when the measurement receiver is used to collect the electromagnetic interference mixed signal in the current electromagnetic radiation emission test, so that the effect of blind source separation on the electromagnetic interference mixed signal is limited, and the accuracy of the electromagnetic interference test is not good. High problem, providing a method based on signal difference to improve blind source separation of radiated electromagnetic interference mixed signals.
本发明提供的一种基于信号差值改善辐射电磁干扰混合信号盲源分离的方法,包括如下步骤:A method for improving blind source separation of radiated electromagnetic interference mixed signals based on signal difference provided by the present invention comprises the following steps:
步骤一:在测试空间中设置M个测试位置,用于放置接收天线,以接收空间中辐射的电磁干扰混合信号;天线位置距被试品的距离按照相应标准要求设定;Step 1: Set M test positions in the test space for placing receiving antennas to receive the electromagnetic interference mixed signals radiated in the space; the distance between the antenna position and the tested product is set according to the corresponding standard requirements;
步骤二:首先,在每个测试位置对背景噪声进行测试,在第i个测试位置测试的背景噪声信号为然后,在每个测试位置对被试品进行辐射发射测试,在第i个测试位置测试的混合信号为ai为被试品本身发射出的电磁干扰混合信号与背景噪声信号的混合信号;Step 2: First, test the background noise at each test position, and the background noise signal tested at the i-th test position is Then, the radiated emission test is performed on the tested product at each test position, and the mixed signal tested at the i-th test position is a i is the mixed signal of the electromagnetic interference mixed signal emitted by the tested product itself and the background noise signal;
步骤三:以ai(i=1,2,…,M)与ni(i=1,2,…,M)为参考量输入自适应滤波器,利用混合信号中的背景噪声信号与单独测试得到的背景噪声信号具有相关性,滤除混合信号中的背景噪声信号,得到被试品自身发射的电磁干扰混合信号xi(i=1,2,…,M);Step 3: Input the adaptive filter with a i (i=1,2,...,M) and ni ( i =1,2,...,M) as references, and use the background noise signal in the mixed signal and the separate The background noise signal obtained by the test has correlation, and the background noise signal in the mixed signal is filtered out to obtain the electromagnetic interference mixed signal x i (i=1,2,...,M) emitted by the tested product itself;
步骤四:将滤除背景噪声信号后的各个测试位置的电磁干扰混合信号组合成联合矩阵X=[x1,x2…xM]T;Step 4: combine the electromagnetic interference mixed signals of each test position after filtering the background noise signal into a joint matrix X=[x 1 ,x 2 ...x M ] T ;
步骤五:构建信号差值矩阵对联合矩阵X进行差值处理,得到新矩阵Z=BX。Step 5: Construct the signal difference matrix Perform difference processing on the joint matrix X to obtain a new matrix Z=BX.
步骤六:以Z为电磁干扰混合信号矩阵,利用独立分量分析方法做盲源分离。Step 6: Taking Z as the electromagnetic interference mixed-signal matrix, use the independent component analysis method to perform blind source separation.
本发明的优点和积极效果在于:Advantage and positive effect of the present invention are:
(1)不改变测试信号性质,在各组测试信号之间挖掘信息以改善分离效果;(1) Without changing the nature of the test signal, mining information between each group of test signals to improve the separation effect;
(2)弱化信号中变化微弱信息,凸显信号中变化剧烈信息,提高了电磁干扰混合信号盲源分离的分离准确度;(2) Weaken the weak information in the signal, highlight the sharply changed information in the signal, and improve the separation accuracy of blind source separation of electromagnetic interference mixed signals;
(3)提升了电磁干扰混合信号盲源分离的分离速度。(3) The separation speed of blind source separation of electromagnetic interference mixed signals is improved.
附图说明Description of drawings
图1是常规电磁辐射发射测试系统的结构示意图;Fig. 1 is the structural representation of conventional electromagnetic radiation emission testing system;
图2是本发明实施例中三个辐射源信号波形图;Fig. 2 is three radiation source signal waveform diagrams in the embodiment of the present invention;
图3是本发明实施例中实测测试现场布局示意图;Fig. 3 is a schematic diagram of the actual test site layout in the embodiment of the present invention;
图4是本发明实施例中实测下5个位置的混合信号波形图;Fig. 4 is the mixed signal waveform diagram of the next 5 positions actually measured in the embodiment of the present invention;
图5是本发明实施例中实测下5个位置滤除背景噪声后的信号波形图;Fig. 5 is the signal waveform diagram after the background noise is filtered out at five positions actually measured in the embodiment of the present invention;
图6是本发明实施例中实测下5个位置差值处理之后的信号波形图;Fig. 6 is a signal waveform diagram after the actual measurement of the next five position differences in the embodiment of the present invention;
图7是本发明实施例中实测下分别直接处理与差值后处理的信号波形图;Fig. 7 is a signal waveform diagram of direct processing and difference post-processing under actual measurement in an embodiment of the present invention;
图8是本发明改善辐射电磁干扰混合信号盲源分离方法的流程图。Fig. 8 is a flow chart of the method for improving blind source separation of radiated electromagnetic interference mixed signals according to the present invention.
具体实施方式Detailed ways
下面结合附图对本发明的方法进行详细说明。The method of the present invention will be described in detail below in conjunction with the accompanying drawings.
本发明方法,对采集到的多位置电磁干扰混合信号进行预处理,使得针对频谱信号的盲源分离效果得到改善,提高了电磁干扰测试的准确度,为进一步的电磁干扰超标设备的排查和整改奠定了更坚实的基础。电磁兼容辐射发射测试中对干扰信号盲源分离时,经过对混合干扰信号进行预处理从而改善整体分离效果的方法,该方法在得到多位置的电磁混合干扰信号后,滤除背景噪声,然后根据对混合信号矩阵行变换不改变信号性质的原理,对混合干扰信号矩阵进行行变换以实现各位置信号的差值处理,从而改善了电磁干扰混合信号盲源分离的分离效果。The method of the present invention preprocesses the collected multi-position electromagnetic interference mixed signal, so that the effect of blind source separation for the spectrum signal is improved, the accuracy of the electromagnetic interference test is improved, and the further investigation and rectification of the electromagnetic interference exceeding the standard equipment is provided. A more solid foundation has been laid. In the electromagnetic compatibility radiation emission test, when the interference signal is blindly separated, the mixed interference signal is preprocessed to improve the overall separation effect. After the multi-position electromagnetic mixed interference signal is obtained, the background noise is filtered out, and then according to Based on the principle that the row transformation of the mixed signal matrix does not change the nature of the signal, the row transformation of the mixed interference signal matrix is performed to realize the difference processing of the signals at each position, thereby improving the separation effect of the blind source separation of the electromagnetic interference mixed signal.
本发明提供的一种基于信号差值改善辐射电磁干扰混合信号盲源分离的方法,如图8所示,具有如下步骤:A method for improving blind source separation of radiated electromagnetic interference mixed signals based on signal difference provided by the present invention, as shown in Figure 8, has the following steps:
步骤一:在测试空间中M个点放置接收天线以接收空间中辐射的电磁干扰混合信号。天线位置距被试品的距离按照相应标准要求设定。Step 1: Place receiving antennas at M points in the test space to receive the electromagnetic interference mixed signal radiated in the space. The distance between the antenna position and the tested product is set according to the requirements of the corresponding standards.
被试品、天线、测量接收机与数据接收装置的摆放方式如图1所示。实际测试中,可以在预先确定测试位置的情况下,使用一副天线在不同位置按一定顺序进行测试。The arrangement of the test object, antenna, measuring receiver and data receiving device is shown in Figure 1. In the actual test, when the test position is determined in advance, a pair of antennas can be used to test in a certain order at different positions.
步骤二:在每个测试位置首先对背景噪声进行测试,在第i个测试位置测试的背景噪声记为再对被试品进行辐射发射测试,在第i个测试位置测试的混合信号记为ai(i=1,2,…,M),测试信号ai为被试品本身发射出的电磁干扰混合信号与背景噪声的混合信号。Step 2: First test the background noise at each test position, and record the background noise at the i-th test position as Then conduct radiation emission test on the tested product, the mixed signal tested at the i test position is recorded as a i (i=1,2,...,M), and the test signal a i is the electromagnetic interference emitted by the tested product itself Mixed signal with background noise.
以上两次测试均需要按照相应电磁兼容测试标准进行。The above two tests need to be carried out in accordance with the corresponding electromagnetic compatibility test standards.
步骤三:以ai(i=1,2,…,M)与ni(i=1,2,…,M)为参考量输入自适应滤波器,利用混合信号中的背景噪声与单独测试得到的背景噪声具有的相关性的特点,滤除混合信号中的背景噪声,得到被试品自身发射的电磁干扰混合信号xi(i=1,2,…,M)。Step 3: Input the adaptive filter with a i (i=1,2,...,M) and ni ( i =1,2,...,M) as references, and use the background noise in the mixed signal and the individual test The obtained background noise has the characteristic of correlation, the background noise in the mixed signal is filtered out, and the electromagnetic interference mixed signal x i (i=1,2,...,M) emitted by the tested product itself is obtained.
运用此方法滤除测试环境下各种类型的背景噪声,将背景噪声对测试结果的影响消除,保证测试结果的准确性。自适应滤波可以在输入过程的统计特性未知或变化时,通过调整自己的参数,来达到某种最佳准则的要求。在本发明中,所采用自适应滤波使用最小均方准则,即当含背景噪声的混合信号ai(i=1,2,…,M)与单独测试得到的背景噪声ni(i=1,2,…,M)之间的最小均方值最小时,实现了对噪声最大程度的抑制。Use this method to filter out various types of background noise in the test environment, eliminate the influence of background noise on the test results, and ensure the accuracy of the test results. Adaptive filtering can meet the requirements of some optimal criterion by adjusting its own parameters when the statistical characteristics of the input process are unknown or changing. In the present invention, the adopted adaptive filtering uses the least mean square criterion, that is, when the mixed signal a i (i=1,2,...,M) containing background noise and the background noise n i (i=1 ,2,…,M) when the least mean square value among them is the smallest, the maximum suppression of noise is achieved.
步骤四:将滤除背景噪声后的各个测试位置的电磁干扰混合信号组合成联合矩阵X=[x1,x2,…,xM]T。Step 4: Combine the electromagnetic interference mixed signals of each test position after filtering out the background noise into a joint matrix X=[x 1 ,x 2 ,…,x M ] T .
测量接收机通过扫频方式采集到各位置的电磁干扰混合信号频谱数据,分别记为x1,x2…xM。将各位置的电磁干扰混合信号频谱数据x1,x2…xM组合成联合矩阵X=[x1,x2…xM]T,则联合矩阵X的每一行为一个位置的电磁干扰混合信号频谱数据。设N个电磁干扰源信号为s1,s2…sN,源信号矩阵为S=[s1,s2…sN]T。则X=AS,其中A为M×N阶电磁干扰源信号混合矩阵,该混合矩阵代表了各电磁干扰源信号在空间的未知混合方式。设分离矩阵为W,盲源分离的目的是求解矩阵W,使得输出结果矩阵Y=WX=WAS,那么Y就是对源信号S的近似,从而达到了分离的目的。The measurement receiver collects the electromagnetic interference mixed signal spectrum data at each position by means of frequency scanning, which are denoted as x 1 , x 2 ... x M . Combining the electromagnetic interference mixed signal spectrum data x 1 , x 2 ... x M at each position into a joint matrix X=[x 1 , x 2 ... x M ] T , then each row of the joint matrix X is the electromagnetic interference mixture of a position signal spectrum data. Suppose N electromagnetic interference source signals are s 1 , s 2 …s N , and the source signal matrix is S=[s 1 , s 2 …s N ] T . Then X=AS, where A is an M×N order mixing matrix of electromagnetic interference source signals, and the mixing matrix represents the unknown mixing mode of each electromagnetic interference source signal in space. Let the separation matrix be W, the purpose of blind source separation is to solve the matrix W, so that the output result matrix Y=WX=WAS, then Y is the approximation to the source signal S, thus achieving the purpose of separation.
步骤五:由于对测试信号X=[x1,x2…xM]T做行变换,不会改变信号性质。故构建信号差值矩阵对混合信号x1,x2…xM进行差值处理,得到新矩阵Z=BX。设W'为对Z进行盲源分离的分离矩阵,则对Z进行盲源分离的输出结果矩阵Y′=W′Z=W′BX,可知Y′=Y,即结果不变。Step 5: Since the row transformation is performed on the test signal X=[x 1 ,x 2 . . . x M ] T , the nature of the signal will not be changed. Therefore, the signal difference matrix is constructed Perform differential processing on the mixed signals x 1 , x 2 ... x M to obtain a new matrix Z=BX. Let W' be the separation matrix for blind source separation of Z, then the output result matrix of blind source separation for Z is Y'=W'Z=W'BX, it can be known that Y'=Y, that is, the result remains unchanged.
由于矩阵每一行为一个位置测得的电磁干扰混合信号,则对其行变换并不影响各位置信号的性质。行变换之后的矩阵记为Z=[z1,z2…zM]T。此时的Z相当于对混合信号联合矩阵中各位置的信号x1,x2…xM进行了差值处理,即z1=x1-x2,z2=x2-x3,…,zM=xM-x1。Since each row of the matrix is a mixed signal of electromagnetic interference measured at a position, the transformation of its row does not affect the properties of the signals at each position. The matrix after row transformation is denoted as Z=[z 1 ,z 2 …z M ] T . At this time, Z is equivalent to performing difference processing on the signals x 1 , x 2 ... x M of each position in the joint matrix of mixed signals, that is, z 1 = x 1 -x 2 , z 2 = x 2 -x 3 , ... , z M =x M −x 1 .
步骤六:以Z为电磁干扰混合信号矩阵,利用独立分量分析方法做盲源分离。Step 6: Taking Z as the electromagnetic interference mixed-signal matrix, use the independent component analysis method to perform blind source separation.
将经过差值处理后得到的Z矩阵作为电磁干扰混合信号矩阵输入,利用独立分量分析方法进行盲源分离,得到分离后的各电磁干扰源信号。The Z matrix obtained after difference processing is input as the electromagnetic interference mixed signal matrix, and the independent component analysis method is used for blind source separation to obtain the separated electromagnetic interference source signals.
实施例Example
以三个辐射电磁干扰源对本发明所述方法进行实测验证。三个辐射电磁干扰源,一个是幅度调制信号s1,一个是频率调制信号s2,一个是脉冲调制信号s3。其中,幅度调制信号s1基波载频为f1=800MHz,调制频率为fmod1=9MHz,调制深度为80%;频率调制信号s2基波载频为f2=620MHz,调制频率为fmod2=7MHz;脉冲调制信号s3基波载频为f3=340MHz,调制频率为fmod3=10MHz。三个信号的波形图如图2所示,数学表达式为:The method of the present invention is tested and verified with three radiated electromagnetic interference sources. Three radiated electromagnetic interference sources, one is the amplitude modulation signal s 1 , the other is the frequency modulation signal s 2 , and the other is the pulse modulation signal s 3 . Among them, the fundamental carrier frequency of the amplitude modulation signal s 1 is f 1 =800MHz, the modulation frequency is f mod1 =9MHz, and the modulation depth is 80%; the fundamental carrier frequency of the frequency modulation signal s 2 is f 2 =620MHz, and the modulation frequency is f mod2 =7MHz; the fundamental carrier frequency of the pulse modulation signal s 3 is f 3 =340MHz, and the modulation frequency is f mod3 =10MHz. The waveform diagram of the three signals is shown in Figure 2, and the mathematical expression is:
s1=[1+0.8sin(2πfmod1t)]·sin(2πf1t)s 1 =[1+0.8sin(2πf mod1 t)]·sin(2πf 1 t)
f1=800MHz,fmod1=9MHz;f 1 =800MHz, f mod1 =9MHz;
s2=cos[2πf2t+2cos(2πfmod2t)]s 2 =cos[2πf 2 t+2cos(2πf mod 2 t)]
f2=620MHz,fmod2=7MHz;f 2 =620MHz, f mod2 =7MHz;
f3=340MHz,fmod3=10MHzf 3 =340MHz, f mod3 =10MHz
采用本发明的基于信号差值改善辐射电磁干扰混合信号盲源分离的方法,进行如下步骤:Adopt the method for improving blind source separation of radiated electromagnetic interference mixed signal based on signal difference of the present invention, carry out following steps:
步骤一:在被试品周围不同位置布置5个接收天线,如图3所示,为接收天线的位置和被试品的布局示意图,图3中的电磁辐射源就是被试品。Step 1: Arrange five receiving antennas at different positions around the tested product, as shown in Figure 3, which is a schematic diagram of the location of the receiving antenna and the layout of the tested product, and the electromagnetic radiation source in Figure 3 is the tested product.
步骤二:在每个测试位置首先对背景噪声进行测试,数据记为ni(i=1,2,…,M),再对被试品进行辐射发射测试,数据记为ai(i=1,2,…,M),此测试信号为被试品本身发射出的电磁干扰混合信号与背景噪声的混合信号;5个位置测得的混合信号波形图如图4所示。Step 2: First test the background noise at each test location, and record the data as n i (i=1,2,...,M), and then conduct the radiation emission test on the tested product, and record the data as a i (i= 1, 2,..., M), the test signal is the mixed signal of the electromagnetic interference mixed signal emitted by the tested product itself and the mixed signal of the background noise; the waveform diagram of the mixed signal measured at 5 positions is shown in Figure 4.
步骤三:以ai(i=1,2,…,M)与ni(i=1,2,…,M)为参考量输入自适应滤波器,利用混合信号中的背景噪声与单独测试得到的背景噪声具有相关性,滤除混合信号中的背景噪声,得到被试品自身发射的电磁干扰混合信号xi(i=1,2,…,M);5个位置混合信号滤除噪声之后的波形图如图5所示。Step 3: Input the adaptive filter with a i (i=1,2,...,M) and ni ( i =1,2,...,M) as references, and use the background noise in the mixed signal and the individual test The obtained background noise is correlated, and the background noise in the mixed signal is filtered out to obtain the electromagnetic interference mixed signal x i (i=1,2,...,M) emitted by the tested product itself; the mixed signal of 5 positions filters out the noise The subsequent wave form is shown in Figure 5.
步骤四:将滤除背景噪声后的各个测试位置的电磁干扰混合信号组合成联合矩阵X=[x1,x2…xM]T。设N个电磁干扰源信号为s1,s2…sN,则源信号组成矩阵为:S=[s1,s2…sN]T。则X=AS,其中A为M×N阶电磁干扰源信号混合矩阵。设分离矩阵为W,则输出结果矩阵为Y=WX=WAS。Step 4: Combine the electromagnetic interference mixed signals of each test position after filtering out the background noise into a joint matrix X=[x 1 ,x 2 . . . x M ] T . Suppose N electromagnetic interference source signals are s 1 , s 2 …s N , then the matrix of source signals is: S=[s 1 ,s 2 …s N ] T . Then X=AS, where A is an M×N order electromagnetic interference source-signal mixing matrix. Assuming the separation matrix is W, the output result matrix is Y=WX=WAS.
步骤五:对测试信号X=[x1,x2…xM]T做行变换,不会改变信号性质。故构建信号差值矩阵使得Z=BX,则Y′=W′Z=W′BX可知Y′=Y,即结果不变;本发明实施例差值之后的各位置信号波形图如图6所示。Step 5: Transform the test signal X=[x 1 ,x 2 . . . x M ] T without changing the nature of the signal. Therefore, the signal difference matrix is constructed If Z=BX, then Y′=W′Z=W′BX, it can be seen that Y′=Y, that is, the result remains unchanged; the signal waveform diagram of each position after the difference in the embodiment of the present invention is shown in FIG. 6 .
步骤六:以Z为电磁干扰混合信号矩阵,利用独立分量分析方法做盲源分离。同时对未差值处理的信号矩阵X利用独立分量分析方法做盲源分离。两种情况下分离的结果对比图如图7所示,其中(A)所示的一列为对未差值处理的信号矩阵X利用独立分量分析方法做盲源分离得到的三个干扰信号源,(B)所示的一列为对经过差值处理得到的信号矩阵Z利用独立分量分析方法做盲源分离得到的三个干扰信号源。可以明显看出:实测情况下,利用本发明方法与利用常规方法得到的结果是一样的,得到3个信号源,并且通过本发明方法在分离之前进行差值预处理的信号分离效果明显好于未经差值预处理的信号。同时,通过本发明方法在分离之前进行差值预处理的信号分离迭代步数在9-12步,而未经差值处理的信号分离迭代步数在12-15步,可见通过采用本发明方法还提高了辐射电磁干扰混合信号盲源分离的速度。Step 6: Taking Z as the electromagnetic interference mixed-signal matrix, use the independent component analysis method to perform blind source separation. At the same time, the independent component analysis method is used to perform blind source separation on the undifferentiated signal matrix X. The comparison diagram of the separation results in the two cases is shown in Figure 7, where the column shown in (A) is the three interference signal sources obtained by using the independent component analysis method to perform blind source separation on the signal matrix X without difference processing, The column shown in (B) is the three interference signal sources obtained by performing blind source separation on the signal matrix Z obtained through difference processing by using the independent component analysis method. It can be clearly seen that in actual measurement, the results obtained by using the method of the present invention are the same as those obtained by using the conventional method, and three signal sources are obtained, and the signal separation effect of the difference preprocessing before separation by the method of the present invention is obviously better than that of Signal without difference preprocessing. Simultaneously, the number of signal separation iterative steps for difference preprocessing before separation by the method of the present invention is 9-12 steps, while the number of iterative steps for signal separation without difference processing is 12-15 steps, it can be seen that by adopting the method of the present invention The speed of blind source separation of radiated electromagnetic interference mixed signals is also improved.
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