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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (5): 569-585.

• 论文 • 上一篇    下一篇

UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSINE TRIGONOMETRIC FUNCTIONS

李建平1, 唐远炎2, 严中洪1, 张万萍3   

  1. 1. International Centre for Wavelet Analysis and Its Applications, Logistical Engineering University, Chongqing 400016, P. R. China;
    2. Department of Computer Science, Hong Kong Baptist University, Hong Kong, P. R. China;
    3. Department of Applied Mathematics, Chengdu Electronic University of Science and Technology of China, Chengdu 610054, P. R. China
  • 收稿日期:2000-05-19 修回日期:2001-01-10 出版日期:2001-05-18 发布日期:2001-05-18
  • 基金资助:

    the National Natural Science Foundation of China(69903012,69682011);Science Foundation of Chongqing Logistical Engineering University

UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSINE TRIGONOMETRIC FUNCTIONS

LI Jian-ping1, TANG Yuan-yan2, YAN Zhong-hong1, ZHANG Wan-ping3   

  1. 1. International Centre for Wavelet Analysis and Its Applications, Logistical Engineering University, Chongqing 400016, P. R. China;
    2. Department of Computer Science, Hong Kong Baptist University, Hong Kong, P. R. China;
    3. Department of Applied Mathematics, Chengdu Electronic University of Science and Technology of China, Chengdu 610054, P. R. China
  • Received:2000-05-19 Revised:2001-01-10 Online:2001-05-18 Published:2001-05-18
  • Supported by:

    the National Natural Science Foundation of China(69903012,69682011);Science Foundation of Chongqing Logistical Engineering University

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摘要： Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When.N=2k-1 and N=2k, the unified analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and some other well-known wavelet filters are tested by the proposed novel method.which is very useful for wavelet theory research and many application areas such as pattern recognition.

Abstract: Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When.N=2k-1 and N=2k, the unified analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and some other well-known wavelet filters are tested by the proposed novel method.which is very useful for wavelet theory research and many application areas such as pattern recognition.

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