• DocumentCode
    1419635
  • Title

    The discrete multiple wavelet transform and thresholding methods

  • Author

    Downie, T.R. ; Silverman, B.W.

  • Author_Institution
    CMIS, CSIRO, North Ryde, NT, Australia
  • Volume
    46
  • Issue
    9
  • fYear
    1998
  • fDate
    9/1/1998 12:00:00 AM
  • Firstpage
    2558
  • Lastpage
    2561
  • Abstract
    We propose thresholding for multiwavelets considering the coefficient vectors as a whole rather than thresholding individual elements. A multivariate universal threshold is obtained using the χ 2 distribution. Simulations indicate that using the GHM multiwavelet with appropriate preprocessing, our method outperforms univariate thresholding of both GHM and Daubechies wavelet decompositions
  • Keywords
    filtering theory; signal processing; wavelet transforms; χ2 distribution; Daubechies wavelet decomposition; GHM multiwavelet; discrete multiple wavelet transform; multivariate universal threshold; multiwavelets; thresholding methods; Convergence; Discrete wavelet transforms; Filters; H infinity control; Signal processing; Spline; Vectors; Wavelet coefficients; Wavelet transforms; White noise;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.709546
  • Filename
    709546
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1419635