Construction of compactly supported M-band wavelets

被引：45

作者：

Bi, N ^{[1
]}

Dai, XR

Sun, QY

机构：

[1] Hangzhou Normal Coll, Dept Math, Hangzhou 310012, Zhejiang, Peoples R China

[2] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1999年 / 6卷 / 02期

基金：

中国国家自然科学基金;

关键词：

multiresolution; M-band scaling function; M-band wavelets; cardinal function; orthonormality;

D O I：

10.1006/acha.1999.0236

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the asymptotic regularity of Daubechies scaling functions and construct examples of M-band scaling functions which are both orthonormal and cardinal for M greater than or equal to 3. (C) 1999 Academic Press.

引用

页码：113 / 131

页数：19

共 50 条

[31] Compactly supported wavelets
Tewari, UB
[J]. WAVELETS AND ALLIED TOPICS, 2001, : 45 - 61
[32] M-band filtering and nonredundant directional wavelets
Durand, Sylvain
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 22 (01) : 124 - 139
[33] Biorthogonal M-Channel compactly supported wavelets
Soardi, PM
[J]. CONSTRUCTIVE APPROXIMATION, 2000, 16 (02) : 283 - 311
[34] Construction of trivariate compactly supported biorthogonal box spline wavelets
He, WJ
Lai, MJ
[J]. JOURNAL OF APPROXIMATION THEORY, 2003, 120 (01) : 1 - 19
[35] Construction of compactly supported o.n. wavelets functions
Yang, Shouzhi
Cheng, Zhengxing
[J]. Gongcheng Shuxue Xuebao/Chinese Journal of Engineering Mathematics, 1998, 15 (02): : 23 - 28
[36] Complex-valued M-band wavelets design
Jia, HJ
Zarowski, CJ
[J]. 2003 IEEE PACIFIC RIM CONFERENCE ON COMMUNICATIONS, COMPUTERS, AND SIGNAL PROCESSING, VOLS 1 AND 2, CONFERENCE PROCEEDINGS, 2003, : 581 - 584
[37] Construction of Biorthogonal Compactly Supported Vector-valued Wavelets
Zhang, Tongqi
[J]. ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS, 2008, : 120 - 124
[38] The construction of a class of trivariate nonseparable compactly supported orthogonal wavelets
Huang, Yongdong
Lei, Chongmin
Yang, Miao
[J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1530 - 1537
[39] M-band Burt-Adelson biorthogonal wavelets
Maggioni, M
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2000, 9 (03) : 286 - 311
[40] CONSTRUCTION OF COMPACTLY SUPPORTED SYMMETRICAL AND ANTISYMMETRIC ORTHONORMAL WAVELETS WITH SCALE=3
CHUI, CK
LIAN, JA
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1995, 2 (01) : 21 - 51

← 1 2 3 4 5 →