|Table of Contents|

On the Orthogonal Multivariate Vector-Valued Wavelet Packets(PDF)

南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2006年01期
Page:
52-56
Research Field:
Publishing date:

Info

Title:
On the Orthogonal Multivariate Vector-Valued Wavelet Packets
Author(s):
ZHANG Xincheng~1XIE Shixin~2CHEN Qingjiang~3
1.College of Information Engineering,Kaifeng University,Kaifeng 475004,China;2.Department of Computer,Shangqiu Vocational Technology College,Shangqiu 476000,China;3.School of Science,Xi’an Jiaotong University,Xi’an 710049,China
Keywords:
orthogonal mu ltivar ia te vector-va lued m ultiresolution analysis vecto r-va lued sca ling functions vectorvalued w avelet packets re finem ent equation
PACS:
O174.2
DOI:
-
Abstract:
In th is paper the v ector-valued m ultiresolution ana lysis and the orthogonal vector-va lued wave le t are introduced. The defin ition o f them ultivariate vecto r-va lued w ave let packets is g iven and a procedu re fo r constructing them is presented. The properties for the vector-va lued w ave let packets has been investigated by using a lg ebra theory, operator theo ry and integra l transfo rm ation. Furtherm ore, new o rthonorm a l basis o f spaceL2 (Rd, Cr ) is obtained by using the o rthogona l vector-valued w ave let packets

References:

[ 1] CHUI C K. 小波分析导论[M ]. 程正兴译. 西安: 西安交通大学出版社, 1994.
CHUI C K. An Introduction to W avelets [M ]. CHENG Zhengx ing Translation. X i. an: X i. an Jiantong University Press, 1994. ( in Chinese)
[ 2] TOKIYAT H, ABBASZADEH A K, RAH IM IAN M M, e t a.l Rail defect d iagnos is us ing w ave let packe t decomposition [ J]. IEEE Trans Industry Appl,i 2003, 39( 5) : 1454-1461.
[ 3] MARTIN M B, BELL A E. New im age compression techn ique us ing mu ltiwave le t packets [ J] . IEEE Trans Im age Process ing, 2001, 10( 4): 500-511.
[ 4] DENG H, LING H. Fast so lution o f electrom agne tic integ ral equa tions using adap tive w ave- let packet transform [ J]. IEEE T rans on Antennas and Propagation, 1999, 47( 4): 674-682.
[ 5] COIFMAN R R, MEYER Y, W ICKERHAUSER M V. W ave let ana ly sis and signa l pro cessing [ C] / / Beylkin G W ave lets and The ir App lications. Boston: Jones and Barlett, MA, 1992: 153-178.
[ 6] 杨守志, 程正兴. a尺度多重正交小波包[ J]. 应用数学, 2000, 13( 1): 61-65.
YANG Shouzh,i CH ENG Zhengx ing. Orthogonal mu ltiw ave let packets w ith sca le a[ J]. M a them aticaApplicata, 2000, 13( 1): 61-65. ( in Chinese)
[ 7] SHEN Z. Non tensor product w avelet packets in L2 (Rs ) [ J]. S IAM M ath Ana,l 1995, 26( 4): 1061-1074. [ 8] X IA X G, SUTER B W. Vector-va lued w ave lets and vec to r filter banks [ J]. IEEE T rans S igna l Processing, 1996, 44( 3): 508-518.
[ 9] FOWLER J E, HUA L. W ave le t transform s fo r vecto r fie lds using omn idirectionally ba lanced m ultiw ave lets [ J]. IEEE T rans S ignal Processing, 2002, 50( 12) : 3018-3027.
[ 10] TURCA JOVA R. An a lgo rithm fo r the construction of symm etry o rthogona l mu ltiw av elets [ J]. S IAM M atrix Ana l App,l 2003, 25( 2): 532-550.
[ 11] 杨建伟, 程正兴, 杨守志. 任意矩阵伸缩的正交小波包[ J]. 高等学校计算数学学报, 2003, 25( 1): 91-96.
YANG Jianw e,i CH ENG Zhengx ing, YANG Shouzh.i Orthogona l w av elet packe ts of arb itrary in tege r-va lued dila tion ma trix [ J]. Journal of H igher Schoo l Com putingM athem atics, 2003, 25( 1): 91-96.

Memo

Memo:
-
Last Update: 2013-04-29