ON TRIGONOMETRIC WAVELETS

被引：56

作者：

CHUI, CK

MHASKAR, HN

机构：

[1] TEXAS A&M UNIV SYST,DEPT MATH,COLL STN,TX 77843

[2] CALIF STATE UNIV LOS ANGELES,DEPT MATH & COMP SCI,LOS ANGELES,CA 90032

来源：

CONSTRUCTIVE APPROXIMATION | 1993年 / 9卷 / 2-3期

关键词：

WAVELETS; MODIFIED DIRICHLET KERNEL; LOCALIZATION; DECOMPOSITION; RECONSTRUCTION;

D O I：

10.1007/BF01198002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Wavelets in terms of sine and cosine functions are constructed for decomposing 2pi-periodic square-integrable functions into different octaves and for yielding local information within each octave. Results on a simple mapping into the approximate sample space, order of approximation of this mapping, and pyramid algorithms for decomposition and reconstruction are also discussed.

引用

页码：167 / 190

页数：24

共 8 条

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DAUBECHIES, I
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[4] DAUBECHIES I, 1992, CBMS NSF REGIONAL C, V61
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MALLAT, SG
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 315 (01) : 69 - 87
[7] MEYER Y, 1990, ONDELETTES, V1
[8] Zygmund A., 1977, TRIGONOMETRIC SERIES, V1

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