Rational wavelet filter banks from Blaschke product

被引：0
|
作者：
Wang, Xuefeng [1 ]
机构：
[1] Shihezi Univ, Coll Sci, Dept Math, Shihezi, Xinjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2023年 / 21卷 / 03期
关键词：
Filter banks; Blaschke product; Bezout polynomial; wavelet; symbol of B-spline;
D O I：
10.1142/S0219691322500424
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This note designs two kinds of rational wavelet filter banks using three basic bricks: the finite Blaschke product, Bezout polynomial and the symbol of the cardinal B-spline. In orthogonal case, the corresponding wavelets are generalization of Daubechies' wavelets. The role of the Blaschke product is the adjustment of the peaks of wavelet functions.
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页数：11
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