UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSI

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

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.水利论文-g2Ej9`Y

作 者: 李建平 唐远炎 严中洪 张万萍  
作者单位:李建平,严中洪(International Centre for Wavelet Analysis and Its Applications, Logistical Engineering University, Chongqing 400016, P R China)水利论文4SYlEg5X9oQ ul
唐远炎(Department of Computer Science, Hong Kong Baptist University, Hong Kong, P R China)
g$xw$n4s"f&Ta0张万萍(Department of Applied Mathematics, Chengdu Electronic University of Science and Technology of China, Chengdu 610054, P R China Communicated by CHEN Zheng-han) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(5) 
分类号:O242.29-19 
关键词:wavelet analysis   filter   trigonometric functions   analytic construction  
机标关键词:wavelet filterspattern recognitioncompactly supported 
基金项目:国家自然科学基金,重庆后勤工程学院校科研和教改项目 
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