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
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 02期
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
  • [1] System theory and orthogonal multi-wavelets
    Charina, Maria
    Conti, Costanza
    Cotronei, Mariantonia
    Putinar, Mihai
    JOURNAL OF APPROXIMATION THEORY, 2019, 238 : 85 - 102
  • [2] Characterization of Matrices Generating Orthogonal Multi-Wavelets
    Xiao, Hongying
    INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 870 - 873
  • [3] Construction of Orthogonal and Symmetric Multi-Wavelets with Vanishing Moments
    Xiao, Hongying
    E-ENGINEERING & DIGITAL ENTERPRISE TECHNOLOGY VII, PTS 1 AND 2, 2009, 16-19 : 618 - 622
  • [4] A study of orthogonal, balanced and symmetric multi-wavelets on the interval
    Xieping Gao
    Siwang Zhou
    Science in China Series F: Information Sciences, 2005, 48 : 761 - 781
  • [5] A study of orthogonal, balanced and symmetric multi-wavelets on the interval
    Gao, XP
    Zhou, SW
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2005, 48 (06): : 761 - 781
  • [6] A study of orthogonal,balanced and symmetric multi-wavelets on the interval
    GAO Xieping1 & ZHOU Siwang1
    2. College of Computer and Communication
    ScienceinChina(SeriesF:InformationSciences), 2005, (06) : 761 - 781
  • [7] Balance of multi-wavelets
    毛一波
    Journal of Chongqing University, 2003, (02) : 55 - 58
  • [8] A study of orthonormal multi-wavelets
    Chui, CK
    Lian, JA
    APPLIED NUMERICAL MATHEMATICS, 1996, 20 (03) : 273 - 298
  • [9] COMPACTLY SUPPORTED MULTI-WAVELETS
    Banas, Wojciech
    OPUSCULA MATHEMATICA, 2012, 32 (01) : 21 - 29
  • [10] Armlets and balanced multi-wavelets
    Lian, JA
    WAVELETS: APPLICATIONS IN SIGNAL AND IMAGE PROCESSING X, PTS 1 AND 2, 2003, 5207 : 162 - 180
12345