Construction of symmetric biorthogonal multiwavelets by lifting

被引:6
|
作者
Turcajová, R [1 ]
机构
[1] Sam Houston State Univ, Huntsville, TX 77341 USA
关键词
lifting factorization; symmetric multiwavelets;
D O I
10.1117/12.366801
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The paper discusses the factorization of polyphase matrices corresponding to symmetric compactly supported biorthogonal multiwavelets into symmetric lifting factors. This factorization allows parameterization of symmetric compactly supported biorthogonal multiwavelets, which can be used in conjunction with numerical optimization to construct symmetric compactly supported biorthogonal multiwavelets with prescribed properties.
引用
收藏
页码:443 / 454
页数:4
相关论文
共 50 条
  • [31] Construction and selection of lifting-based multiwavelets for Mechanical fault detection
    Yuan, Jing
    He, Zhengjia
    Zi, Yanyang
    Wei, Ying
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2013, 40 (02) : 571 - 588
  • [32] The lifting scheme: A custom-design construction of biorthogonal wavelets
    Sweldens, W
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1996, 3 (02) : 186 - 200
  • [33] An algebraic construction of k-balanced multiwavelets via the lifting scheme
    S. Bacchelli
    M. Cotronei
    D. Lazzaro
    Numerical Algorithms, 2000, 23 : 329 - 356
  • [34] The lifting scheme: A custom-design construction of biorthogonal wavelets
    AT and T Bell Laboratories, 600 Mountain Avenue, Murray Hill, NJ 07974, United States
    Appl Comput Harmonic Anal, 2 (186-200):
  • [35] Construction of Arbitrary Dimensional Biorthogonal Multiwavelet Using Lifting Scheme
    Gao, Xieping
    Xiao, Fen
    Li, Bodong
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2009, 18 (05) : 942 - 955
  • [36] Lifting scheme: A custom-design construction of biorthogonal wavelets
    Sweldens, Wim
    Applied and Computational Harmonic Analysis, 1996, 3 (02):
  • [37] Stability analysis of biorthogonal multiwavelets whose duals are not in L2 and its application to local semiorthogonal lifting
    Maes, Jan
    Bultheel, Adhemar
    APPLIED NUMERICAL MATHEMATICS, 2008, 58 (08) : 1186 - 1211
  • [38] Some properties and construction of multiwavelets related to different symmetric centers
    Cui, LH
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 70 (02) : 69 - 89
  • [39] Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
    Shouzhi, Yang
    ANZIAM JOURNAL, 2007, 49 : 85 - 97
  • [40] The construction of 4-band symmetric biorthogonal wavelets
    Chen, Yanna
    Liu, Yu
    Shen, Yanan
    Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis, 2008, 44 (06): : 835 - 838