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.

引用

页数：11

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