脉冲奇异点的小波检测
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摘要
信号的奇异点往往包含有信号比较重要的信息,对其进行检测和定位在许多实际问题中有着重要的意义。根据脉冲奇异点的特征,证明了信号的脉冲奇异点与信号小波变换的最值有关,如果适当选择小波基函数,那么信号的脉冲奇异点将对应于信号小波变换的最值点。据此提出了一个基于小波变换最值的脉冲奇异点检测方法,并给出了小波基选择条件。最后通过实验证明了该方法不仅行之有效,而且具有计算简单,定位准确的特点。
The singular points in signal often take some important information,for which detection and localization have significance.According to the characteristic of singular point,it is improved that the maximum Absolute value of real wavelet transform can be used to detected the pulse singularity in signal.By using the wavelet base choosed carefully,the pulse singular point in signal is exactly the maximum Absolute value point of the wavelet transform.As a result,a novel method for detecting the pulse singularity in signal is developed.The results of many experiments not only show that the method can identify the sigularity from signals successfully but also have characters of simple computation and exact localization.
The singular points in signal often take some important information,for which detection and localization have significance.According to the characteristic of singular point,it is improved that the maximum Absolute value of real wavelet transform can be used to detected the pulse singularity in signal.By using the wavelet base choosed carefully,the pulse singular point in signal is exactly the maximum Absolute value point of the wavelet transform.As a result,a novel method for detecting the pulse singularity in signal is developed.The results of many experiments not only show that the method can identify the sigularity from signals successfully but also have characters of simple computation and exact localization.
引文
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[5]李文光,刘晰戈.基于小波变换的血压信号特征提取方法研究[J].计算机仿真,2006,23(11):91-94.
[6]MALLAT S.Zero-Crossings of a Wavelet Transform[J].IEEE Transactions on informationtheory.1991,37(4):1019-1033.
[7]张小飞,徐大专,齐泽锋.基于小波变换奇异信号检测的研究[J].系统工程与电子技术,2003,25(7):814-816.
[8]杨力华,戴道清,黄文良,等.信号处理的小波导引[M].北京:机械工业出版社,2002:122-159.
[2]MALLAT S,HWANG W L.Singularity detection and processing with wavelets[J].IEEE Transactions on Information Theory,1992,38:617-643.
[3]TUC L,HWANG W L,HO J.Analysis of singularities from modulus maxima of complex wavelets[J].IEEE Transactions on Information Theory,2005,51:1049-1062.
[4]张燕,吴云,刘永启,等.小波分析在地壳形变资料处理中的应用[J].地震学报,2004,26(9):103-109.
[5]李文光,刘晰戈.基于小波变换的血压信号特征提取方法研究[J].计算机仿真,2006,23(11):91-94.
[6]MALLAT S.Zero-Crossings of a Wavelet Transform[J].IEEE Transactions on informationtheory.1991,37(4):1019-1033.
[7]张小飞,徐大专,齐泽锋.基于小波变换奇异信号检测的研究[J].系统工程与电子技术,2003,25(7):814-816.
[8]杨力华,戴道清,黄文良,等.信号处理的小波导引[M].北京:机械工业出版社,2002:122-159.
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