Wavelets: The mathematical background

被引：193

作者：

Cohen, A ^{[1
]}

Kovacevic, J ^{[1
]}

机构：

[1] AT&T BELL LABS,COMMUN ANAL RES DEPT,MURRAY HILL,NJ 07974

来源：

PROCEEDINGS OF THE IEEE | 1996年 / 84卷 / 04期

关键词：

D O I：

10.1109/5.488697

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We present here the mathematical foundations of the wavelet transform, multiresolution analysis and discrete-time transforms, and algorithms. This article sen es as background material for the rest of the special issue.

引用

页码：514 / 522

页数：9

共 14 条

[1] THE LAPLACIAN PYRAMID AS A COMPACT IMAGE CODE
BURT, PJ
ADELSON, EH
[J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 1983, 31 (04) : 532 - 540
[2] BIORTHOGONAL BASES OF COMPACTLY SUPPORTED WAVELETS
COHEN, A
DAUBECHIES, I
FEAUVEAU, JC
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (05) : 485 - 560
[3] Cohen A., 1993, Revista Matematica Iberoamericana, V9, P51, DOI [10.4171/RMI/133, DOI 10.4171/RMI/133]
[4] ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS
DAUBECHIES, I
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) : 909 - 996
[5] Daubechies I., 1992, 10 LECT WAVELETS
[6] Holschneider M., 1989, WAVELETS TIME FREQUE, P289
[7] NONSEPARABLE MULTIDIMENSIONAL PERFECT RECONSTRUCTION FILTER BANKS AND WAVELET BASES FOR RN
KOVACEVIC, J
VETTERLI, M
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) : 533 - 555
[8] MULTIFREQUENCY CHANNEL DECOMPOSITIONS OF IMAGES AND WAVELET MODELS
MALLAT, SG
[J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1989, 37 (12): : 2091 - 2110
[9] MULTIRESOLUTION APPROXIMATIONS AND WAVELET ORTHONORMAL BASES OF L2(R)
MALLAT, SG
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 315 (01) : 69 - 87
[10] Martin V., 1995, WAVELETS SUBBAND COD

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