Mean size of wavelet packets

被引：6

作者：

Nielsen, M ^{[1
]}

Zhou, DX

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2002年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

wavelet packets; subdivision tree; subdivision sequence; joint spectral radius; stability; Schauder basis;

D O I：

10.1016/S1063-5203(02)00005-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the mean size of wavelet packets in L-p. An exact formula for the mean size is given in terms of the p-norm joint spectral radius. This will be a corollary of an asymptotic formula for the L-p norms on the subdivision trees. Then the stability and Schauder basis property of wavelet packets in Lp, and the instability of biorthogonal wavelet packets in L-2 are analyzed. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：22 / 34

页数：13

共 29 条

[1]

CAVARETTA AS, 1991, MEM AM MATH SOC, V93, P1

[2] NONORTHOGONAL WAVELET PACKETS [J].