An algorithm for the construction of symmetric and anti-symmetric M-band wavelets

被引:3
|
作者
Sun, QY [1 ]
机构
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
关键词
symmetric and antisymmetric wavelets; M band wavelets; spline wavelets;
D O I
10.1117/12.408624
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we give an algorithm to construct semi-orthogonal symmetric and anti-symmetric M-band wavelets. As an application, some semi-orthogonal symmetric and anti-symmetric hi-band spline wavelets are constructed explicitly. Also we show that if we want to construct symmetric or anti-symmetric M-band wavelets from a multiresolution, then that multiresolution has a symmetric scaling function.
引用
收藏
页码:384 / 394
页数:11
相关论文
共 50 条
  • [41] M-band filtering and nonredundant directional wavelets
    Durand, Sylvain
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 22 (01) : 124 - 139
  • [42] Design of variable bandwidth symmetric/anti-symmetric FIR single-band PCLS lowpass and highpass filters
    Bingo Wing-Kuen Ling
    Charlotte Yuk-Fan Ho
    Kok-Lay Teo
    Wan-Chi Siu
    Qingyun Dai
    Signal, Image and Video Processing, 2016, 10 : 37 - 43
  • [43] Development of a Symmetric and Anti-symmetric Mode of Instability in a Flooded Round Jet
    Litvinenko, Yu. A.
    Litvinenko, M. V.
    HIGH ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019), 2019, 2125
  • [44] Symmetric and anti-symmetric vibrations in micropolar thermoelastic materials plate with voids
    Lianngenga, R.
    Singh, S. S.
    APPLIED MATHEMATICAL MODELLING, 2019, 76 : 856 - 866
  • [45] On the spectrum of random anti-symmetric and tournament matrices
    Sosoe, Philippe
    Smilansky, Uzy
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2016, 5 (03)
  • [46] THE QUANTIZATION OF ANTI-SYMMETRIC TENSOR-FIELDS
    OBUKHOV, YN
    SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR, 1982, 35 (04): : 610 - 611
  • [47] Check character systems and anti-symmetric mappings
    Schulz, RH
    COMPUTATIONAL DISCRETE MATHEMATICS: ADVANCED LECTURES, 2001, 2122 : 136 - 147
  • [48] The Generalized Anti-symmetric Solutions of the Matrix Equation
    Peng, Xiangyang
    Lan, Yan
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 238 - 241
  • [49] ANTI-SYMMETRIC EXCHANGE IN DISORDERED MAGNETIC OXIDES
    BOSTREM, IG
    MOSKVIN, AS
    SINITSYN, EV
    FIZIKA TVERDOGO TELA, 1981, 23 (05): : 1535 - 1537
  • [50] Quantum and geometric effects on the symmetric and anti-symmetric modes of the surface plasma wave
    Jung, Young-Dae
    Hong, Woo-Pyo
    PHYSICS LETTERS A, 2013, 377 (07) : 560 - 563