• DocumentCode
    1993643
  • Title

    Linear phase wavelets: theory and design

  • Author

    Herley, Cormac ; Vetterli, Martin

  • Author_Institution
    Columbia Univ., New York, NY, USA
  • fYear
    1991
  • fDate
    14-17 Apr 1991
  • Firstpage
    2017
  • Abstract
    The authors present new theoretical results on FIR (finite impulse response) filter banks based on Diophantine equations and continued fraction expansions and use them to show how general wavelets may be designed. They further show that by considering a noncausal IIR (infinite impulse response) structure it is possible to have a linear phase paraunitary solution. A number of design examples illustrating the advantages of the new results are presented
  • Keywords
    digital filters; filtering and prediction theory; signal processing; Diophantine equations; FIR filter banks; continued fraction expansions; finite impulse response; infinite impulse response; linear phase paraunitary solution; linear phase wavelets; noncausal IIR filter; signal processing; Convergence; Discrete wavelet transforms; Equations; Filter bank; Finite impulse response filter; Fourier transforms; IIR filters; Large-scale systems; Sufficient conditions; Waves;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
  • Conference_Location
    Toronto, Ont.
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-0003-3
  • Type

    conf

  • DOI
    10.1109/ICASSP.1991.150799
  • Filename
    150799