• DocumentCode
    867039
  • Title

    Balanced multiwavelets with short filters

  • Author

    Lian, Jian-Ao ; Chui, Charles K.

  • Author_Institution
    Dept. of Math., Prairie View A&M Univ., TX, USA
  • Volume
    11
  • Issue
    2
  • fYear
    2004
  • Firstpage
    75
  • Lastpage
    78
  • Abstract
    In a recent work, Selesnick constructed two GHM-like scaling function vectors of dimension two that allow balanced multiwavelet decomposition. In this letter, we construct such multiwavelets and give the corresponding decomposition/reconstruction filters. Symmetry and/or antisymmetry are achieved and filterbank shifts are investigated. The fundamental tools for the study of this problem area are presented in the second and third sections for completeness.
  • Keywords
    FIR filters; channel bank filters; linear phase filters; vectors; wavelet transforms; Selesnick GHM-like scaling function vectors; balanced multiwavelet decomposition; compactly supported function; filterbank shifts; interbank shifts; orthonormality; reconstruction filters; short filters; Computer science; Digital filters; Equations; Filter bank; Finite impulse response filter; Mathematics; Nonlinear filters; Polynomials; Statistics; Vectors;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2003.819854
  • Filename
    1261941
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=867039