• DocumentCode
    1328385
  • Title

    Initialization of orthogonal discrete wavelet transforms

  • Author

    Zhang, Jiankang ; Bao, Zheng

  • Author_Institution
    Lab. for Signal Process., Xidian Univ., Xi´´an, China
  • Volume
    48
  • Issue
    5
  • fYear
    2000
  • fDate
    5/1/2000 12:00:00 AM
  • Firstpage
    1474
  • Lastpage
    1477
  • Abstract
    The asymptotic formulae of both the approximation error and the systematic error of a special prefilter projection and the quantitative estimates of the upper bounds of the errors are obtained. In addition, it is shown that for the Daubechies´ orthogonal wavelet basis, the estimated constant is optimal
  • Keywords
    FIR filters; approximation theory; bandlimited signals; discrete wavelet transforms; error analysis; filtering theory; Daubechies orthogonal wavelet basis; FIR prefilter projection; approximation error; asymptotic formulae; bandlimited signals; initialization; orthogonal discrete wavelet transforms; quantitative estimates; systematic error; upper bounds; Approximation error; Detectors; Discrete wavelet transforms; Image coding; Signal detection; Signal processing; Signal processing algorithms; Signal sampling; Upper bound; Wavelet transforms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.839995
  • Filename
    839995