journal6 ›› 2002, Vol. 23 ›› Issue (1): 4-7.

• 数学 • 上一篇    下一篇

基于解析信号的小波变换及其应用

  

  1. (五邑大学智能技术与系统研究所,广东 江门 529020)
  • 出版日期:2002-03-15 发布日期:2013-01-05
  • 作者简介:吴今培(1937-),男,江西吉安人,武邑大学智能技术与系统研究所教授,博士生导师,主要从事智能信息处理研究.
  • 基金资助:

    广东省自然科学基金资助项目(990828)

Wavelet Transform Based on Analytic Signal and Its Application

  1. (Wuyi University Jiangmen,Jiangmen 529020,Guangdong China)
  • Online:2002-03-15 Published:2013-01-05

摘要:提出对信号的解析进行小波变换,从而可直接计算出信号能量的时-频分布.使分析结果能象短时Fourier变换、Wigner分布那样直观地显示出来,解决了小波分析的可视性问题.用这种算法在调频信号的分析、消噪和故障诊断上应用说明了它的优点.

关键词: 小波变换, 解析信号, 故障诊断

Abstract: Wavelet transform based on analytic signal is proposed, with its properties discussed. By this method, the energy of the signal in a certain frequency subband, which may change with time, can be calculated out like Wigner distribution. The outcome of the transform can be visualized easily, overcoming the drawbacks of common wavelet transform. Three examples are given, which include its application on time-frequency analysis, denoising and fault diagnosis.

Key words: wavelet transform, analytic signal, fault diagnosis

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