LI Jian-ping, TANG Yuan-yan, YAN Zhong-hong, ZHANG Wan-ping. Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions[J]. Applied Mathematics and Mechanics, 2001, 22(5): 504-518.
 Citation: LI Jian-ping, TANG Yuan-yan, YAN Zhong-hong, ZHANG Wan-ping. Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions[J]. Applied Mathematics and Mechanics, 2001, 22(5): 504-518.

# Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions

• Received Date: 2000-05-19
• Rev Recd Date: 2001-01-10
• Publish Date: 2001-05-15
• 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.
•  [1] Daubechies I.Orthonormal bases of compactly supported wavelets[J].Comm Pure and Appl Math,1988,41:909-996. [2] 程正兴.小波分析算法与应用[M].西安:西安交通大学出版社,1998,78-119. [3] 秦前清,杨宗凯.实用小波分析[M].西安:西安电子科技大学出版社,1994,41-53. [4] Wickerhauser M V.Adapted Wavelet Analysis From Theory to Software[M].New York:SIAM,1994,442-462. [5] Vaidyanathan P P,Huong P Q.Lattice structures for optimal design and robust implementation of two channel perfect-reconstruction QMF banks[J].IEEE Trans,on ASSP,1998,36(1):81-94. [6] 李建平.小波分析与信号处理--理论、应用及软件实现[M].重庆:重庆出版社,1997,96-101,282-298. [7] 李建平,唐远炎.小波分析方法的应用[M].重庆:重庆大学出版社,1999,72-91. [8] 李建平.矢量积小波变换及小波分析的理论与应用研究[D].博士学位论文.重庆:重庆大学,1998. [9] TANG Yuan-Yan.Wavelet Theory and Its Application to Pattern Recognition[M].Singapore:World Scientific,1999.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

## Article Metrics

Article views (2200) PDF downloads(864) Cited by()

/