| 小波变换 第3讲 二进小波变换及信号的奇异性检测 |
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| 引用本文： | 董新洲,贺家李,葛耀中.小波变换 第3讲 二进小波变换及信号的奇异性检测[J].继电器,1999(3). |
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| 作者姓名： | 董新洲 贺家李 葛耀中 |
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| 作者单位： | 天津大学电力系，西安交通大学 |
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| 摘 要： | 介绍了基于Ｂ样条的二进小波函数及二进小波变换的特性、算法，重点介绍了基于小波变换模极大值的信号奇异性检测理论，其要点是：信号可以通过其小波变换模极大值表示，也可通过其模极大值重构。因此，信号的表示变得异常简洁。由于二进小波变换具有平移不变性，从而在模式识别和信号的奇异性检测中获得广泛应用。
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| 关 键 词： | 二进小波 二进小波变换 B样条 模极大值 |
WAVELET TRANSFORM(PART THREE) DYADIC WAVELET TRANSFORM AND SIGNAL SINGULARITY DETECTION |
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| DONG Xin_zhou ,HE Jia_Li ,GE Yao_zhong.WAVELET TRANSFORM(PART THREE) DYADIC WAVELET TRANSFORM AND SIGNAL SINGULARITY DETECTION[J].Relay,1999(3). |
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| Authors: | DONG Xin_zhou HE Jia_Li GE Yao_zhong |
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| Affiliation: | DONG Xin_zhou 1,HE Jia_Li 1,GE Yao_zhong 2 |
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| Abstract: | The property and algorithm of dyadic wavelet function and dyadic wavelet transform basing on B spline are introduced. Specially the theory of signal singularity detection basing on modulus maxima of wavelet transform is described. Its key point is that, the signal can be represented by the modulus maxima of wavelet transform and also can be reconsrtucted by the modulus maxima. Thus, signal representation becomes very clear. Because the dyadic wavelet transform possess translational invariability, it is widely used in mode identification and signal sigularity detection. |
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| Keywords: | dyadic wavelet dyadic wavelet transform B spline modulus maxima |
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