基于Blaschke产品的合理小波滤波器组

Int. J. Wavelets Multiresolution Inf. Process. Pub Date : 2022-12-29 DOI:10.1142/s0219691322500424

Xuefeng Wang

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摘要

本文利用有限Blaschke积、Bezout多项式和基数b样条符号这三个基本块设计了两种有理小波滤波器组。在正交情况下，相应的小波是Daubechies小波的推广。Blaschke积的作用是对小波函数的峰值进行调整。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rational wavelet filter banks from Blaschke product

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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Int. J. Wavelets Multiresolution Inf. Process.

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