ORTHOGONAL MULTI-WAVELETS FROM MATRIX FACTORIZATION

被引:0
|
作者
Xiao, Hongying [1 ]
机构
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Peoples R China
关键词
multi-wavelets; PR condition; accuracy; block central symmetric matrix; MULTIVARIATE FILTER BANKS; REFINABLE FUNCTIONS; APPROXIMATION; ACCURACY;
D O I
10.4134/JKMS.2009.46.2.281
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Accuracy of the scaling function is very crucial in wavelet theory, or correspondingly, in the study of wavelet filter banks. We are mainly interested in vector-valued filter banks having matrix factorization and indicate how to choose block central symmetric matrices to construct multi-wavelets with suitable accuracy.
引用
收藏
页码:281 / 294
页数:14
相关论文
共 50 条
  • [21] Nee-structured Legendre multi-wavelets
    Pogossova, E
    Egiazarian, K
    Gotchev, A
    Astola, J
    COMPUTER AIDED SYSTEMS THEORY - EUROCAST 2005, 2005, 3643 : 291 - 300
  • [22] Parametric Multi-Wavelets on a Hexagonal Sampling Lattice
    Hemant Dattatray Bhate
    Rupali Sadashiv Deshpande
    Results in Mathematics, 2018, 73
  • [23] Parametric Multi-Wavelets on a Hexagonal Sampling Lattice
    Bhate, Hemant Dattatray
    Deshpande, Rupali Sadashiv
    RESULTS IN MATHEMATICS, 2018, 73 (01)
  • [24] Hermite Cubic Spline Multi-wavelets on the Cube
    Cvejnova, Daniela
    Cerna, Dana
    Finek, Vaclav
    41ST INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'15), 2015, 1690
  • [25] Study of matrix multipliers for normalized frame multi-wavelets and Applications in engineering material Technology
    Xu, Yongfan
    MATERIALS PROCESSING AND MANUFACTURING III, PTS 1-4, 2013, 753-755 : 2321 - 2324
  • [26] Matrix spectral factorization and wavelets
    Janashia G.
    Lagvilava E.
    Ephremidze L.
    Journal of Mathematical Sciences, 2013, 195 (4) : 445 - 454
  • [27] Construction of multi-wavelets from compactly supported refinable super functions
    Özkaramanli, H
    Bilgehan, B
    DIGITAL SIGNAL PROCESSING, 2003, 13 (03) : 470 - 494
  • [28] Comparing field data using Alpert multi-wavelets
    Salloum, Maher
    Karlson, Kyle N.
    Jin, Helena
    Brown, Judith A.
    Bolintineanu, Dan S.
    Long, Kevin N.
    COMPUTATIONAL MECHANICS, 2020, 66 (04) : 893 - 910
  • [29] Construction of orthonormal multi-wavelets with additional vanishing moments
    Chui, CK
    Lian, JA
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2006, 24 (1-4) : 239 - 262
  • [30] Comparing field data using Alpert multi-wavelets
    Maher Salloum
    Kyle N. Karlson
    Helena Jin
    Judith A. Brown
    Dan S. Bolintineanu
    Kevin N. Long
    Computational Mechanics, 2020, 66 : 893 - 910