Numerical solutions for orthogonal wavelet filters by Newton method

被引:2
作者
Chang, LW [1 ]
Shen, YE [1 ]
机构
[1] Natl Tsing Hua Univ, Dept Comp Sci, Hsinchu 30043, Taiwan
关键词
orthogonal wavelets; multiresolution analysis; Newton method;
D O I
10.1016/S0923-5965(98)00052-6
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The wavelet transform has recently generated much interest in applied mathematics, signal processing and image coding. Mallat (1989) used the concept of the function space as a bridge to link the wavelet transform and multiresolution analysis. Daubechies (1990) added regularity conditions to find 2N, 2 less than or equal to N less than or equal to 10, tap coefficients for orthogonal wavelet filters. Owing to the difficulty of finding their closed solutions for large N a numerical method called the Newton method is proposed. We constructed the orthogonal wavelet filter with 2N-tap coefficients by N linear equations and N nonlinear equations. The 2N-tap, 2 less than or equal to N less than or equal to 10, coefficients we found are very consistent with those of Daubechies. Also, the method can be used to find the orthogonal wavelet filter with N tap coefficients for N > 10. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:879 / 887
页数:9
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