• DocumentCode
    1441066
  • Title

    Projection based prefiltering for multiwavelet transforms

  • Author

    Vrhel, Michael J. ; Aldroubi, Akram

  • Author_Institution
    Color Savvy Syst. Ltd., Springboro, OH, USA
  • Volume
    46
  • Issue
    11
  • fYear
    1998
  • fDate
    11/1/1998 12:00:00 AM
  • Firstpage
    3088
  • Lastpage
    3092
  • Abstract
    We introduce a method for initializing the multiwavelet decomposition algorithm. The initialization procedure is the orthogonal projection of the input signal into the space defined by the multiscaling function. The approach will always have a solution, places no restrictions on the input (except that it be contained within L2 ), and can be implemented in a fast algorithm. We present the details of our approach and compare it with another proposed method of prefiltering
  • Keywords
    digital filters; least squares approximations; signal processing; wavelet transforms; fast algorithm; initialization procedure; input signal; multiscaling function; multiwavelet decomposition algorithm; multiwavelet transforms; orthogonal projection; projection based prefiltering; Algorithm design and analysis; Compaction; Convolution; Energy resolution; Equations; Interpolation; Mathematics; Sampling methods; Signal generators; Signal resolution;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.726821
  • Filename
    726821
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1441066