Wavelet packets with uniform time-frequency localization

被引：24

作者：

Villemoes, LF ^{[1
]}

机构：

[1] Coding Technol, S-11352 Stockholm, Sweden

来源：

COMPTES RENDUS MATHEMATIQUE | 2002年 / 335卷 / 10期

关键词：

D O I：

10.1016/S1631-073X(02)02570-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct basic wavelet packets with uniformly bounded localization in both time and frequency. The corresponding orthonormal bases of wavelet packets are parametrized by dyadic segmentations obeying a local variation condition.

引用

页码：793 / 796

页数：4

共 12 条

[1]

BORUP L, IN PRESS J APPROX TH

[2]

COHEN A, 1996, SUBBAND WAVELET TRAN, P189

[3]

Coifman R, 1992, Wavelets and Their Applications, P453

[4] A SIMPLE WILSON ORTHONORMAL BASIS WITH EXPONENTIAL DECAY [J].

DAUBECHIES, I ;

JAFFARD, S ;

JOURNE, JL .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (02) :554-572

[5] WAVELETS IN WANDERING SUBSPACES [J].

GOODMAN, TNT ;

LEE, SL ;

TANG, WS .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 338 (02) :639-654

[6]

Hess-Nielsen N., 1994, Applied and Computational Harmonic Analysis, V1, P157, DOI 10.1006/acha.1994.1003

[7]

LAENG E, 1990, CR ACAD SCI I-MATH, V31, P677

[8] Brushlets: A tool for directional image analysis and image compression [J].

Meyer, FG ;

Coifman, RR .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1997, 4 (02) :147-187

[9]

Meyer Y., 1993, WAVELETS ALGORITHMS

[10] Mean size of wavelet packets [J].

Nielsen, M ;

Zhou, DX .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2002, 13 (01) :22-34

← 1 2 →