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| UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSINE TRIGONOMETRIC FUNCTIONS | |
| 作者姓名： | 李建平 唐远炎 严中洪 张万萍 |
| 作者单位： | 1 International Centre for Wavelet Analysis and Its Applications，Logistical Engineering University，Chongqing 400016，P R China; 2 Department of Computer Science，Hong Kong Bapt |
| 基金项目： | theNationalNaturalScienceFoundationofChina(6 990 30 1 2，6 96 82 0 1 1 )，ScienceFoundationofChongqingLogisticalEngineeringUn |
| 摘 要： | 1 Ｉｎｔｒｏｄｕｃｔｉｏｎ1 .1ＩｎｔｒｏｄｕｃｔｉｏｎｏｆｂａｃｋｇｒｏｕｎｄＷａｖｅｌｅｔａｎａｌｙｓｉｓａｎｄｉｔｓａｐｐｌｉｃａｔｉｏｎｓｈａｖｅｂｅｃｏｍｅｏｎｅｏｆｔｈｅｆａｓｔｅｓｔｇｒｏｗｉｎｇｒｅｓｅａｒｃｈａｒｅａｓｉｎｒｅｃｅｎｔｙｅａｒｓ1- 9].Ｅｓｐｅｃｉａｌｌｙ ,ｔｈｅｗａｖｅｌｅｔｔｒａｎｓｆｏｒｍｓｂａｓｅｄｏｎｏｒｔｈｏｎｏｒｍａｌｂａｓｅｓｏｆｃｏｍｐａｃｔｌｙｓｕｐｐｏｒｔｅｄｗａｖｅｌｅｔａｒｅｗｉｄｅｌｙｕｓｅｄｉｎｉｍａｇｅｃｏｍｐｒｅｓｓｉｏｎ ,ｃｏｍ… |
| 收稿时间： | 19 May 2000 |
Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions |
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| Jian-ping Li,Yuan-yan Tang,Zhong-hong Yan,Wan-ping Zhang.UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSINE TRIGONOMETRIC FUNCTIONS[J].Applied Mathematics and Mechanics(English Edition),2001,22(5):569-585. | |
| Authors: | Jian-ping Li Yuan-yan Tang Zhong-hong Yan Wan-ping Zhang |
| Institution: | 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 Communicated by CHEN Zheng-han |
| 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. Foundation item: the National Natural Science Foundation of China (69903012, 69682011); Science Foundation of Chongqing Logistical Engineering University Biography: LI Jian-ping (1964-), Professor, Doctor |
| Keywords: | wavelet analysis filter trigonometric functions analytic construction |
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