基于小波变换奇异信号检测的研究  

A Study on the Singular Signal Detection Based on Wavelet Transform

作　　者：张小飞[1] 徐大专[1] 齐泽锋[2] 

机构地区：[1]南京航空航天大学电子工程系,江苏南京210016 [2]武汉大学电气工程学院,湖北武汉430072

出　　处：《系统工程与电子技术》2003年第7期814-816,855,共4页Systems Engineering and Electronics

摘　　要：奇异信号中的奇异点及不规则的突变部分经常携带有比较重要的信息 ,它是信号重要的特征之一。用李氏指数 (Lipschitz)来描述信号的局部奇异性。证明了小波变换确实能用来检测信号的局部奇异性。而利用小波变换模的局部极大值和信号奇异点之间的关系 ,同样可以对信号的局部奇异性进行分析 ,而且运算量较小。证明了小波变换模极大值能够检测信号奇异性 ;分析了奇异信号检测时小波基的选择的条件。最后给出实例分析的结论 :为了有效地检测奇异信号的各种奇异性特征 。The singular points and irregular transient parts of the singular signal often take some important information, which is one of the main characters of a singular signal. The local singularity is described by Lipschitz index. It is proved that wavelet transform can really be used to estimate the singularity. Using the relationship between wavelet transform modulus maxima and singular point, the singularity can also be analyzed, but less operation is involved. It is proved that wavelet transform modulus maxima can detect the singularity. The qualifications of wavelet base for the singular signal detection are studied. The examples are taken finally, and the conclusion that a wavelet with enough large vanishing moments is needed to detect the singular signal precisely is made.

关 键 词：奇异信号 小波 突变信号 小波变换模极大值 

分 类 号：TN911.72[电子电信—通信与信息系统]