NONORTHOGONAL WAVELET PACKETS

被引：79

作者：

CHUI, CK ^{[1
]}

LI, C ^{[1
]}

机构：

[1] ACAD SINICA,INST MATH,BEIJING 100080,PEOPLES R CHINA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 03期

关键词：

MULTIRESOLUTION ANALYSIS; SCALING FUNCTIONS; WAVELETS; DUAL WAVELETS; WAVELET PACKETS; FRAMES; TREE ALGORITHMS; DECOMPOSITION AND RECONSTRUCTION ALGORITHMS;

D O I：

10.1137/0524044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of orthonormal wavelet packets introduced by Coifman and Meyer is generalized to the nonorthogonal setting in order to include compactly supported and symmetric basis functions. In particular, dual (or biorthogonal) wavelet packets are investigated and a stability result is established. Algorithms for implementations are also developed.

引用

页码：712 / 738

页数：27

共 11 条

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CHUI, CK ;

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[2]

Chui CK., 1992, INTRO WAVELETS

[3]

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[4]

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[5]

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[6]

COIFMAN RR, ORTHONORMAL WAVE PAC

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DUFFIN, RJ ;

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[9]

Mallat S.G., 1988, THESIS U PENNSYLVANI

[10]

Meyer Y., 1985, OPERATEURS SEMINAIRE, V662, P1985

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