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

• Articles • Previous Articles     Next Articles

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

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.

2010 MSC Number: 

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