• DocumentCode
    311256
  • Title

    Pre-filtering for the initialization of multi-wavelet transforms

  • Author

    Vrhel, Michael J. ; Aldroubi, Akram

  • Author_Institution
    Nat. Inst. of Health, Bethesda, MD, USA
  • Volume
    3
  • fYear
    1997
  • fDate
    21-24 Apr 1997
  • Firstpage
    2033
  • Abstract
    We introduce a new method for initializing the multi-wavelet decomposition algorithm. The approach assumes that the input signal is contained within some well-defined subspace of L2 (e.g. space of bandlimited functions). The initialization algorithm is the orthogonal projection of the input signal into the space defined by the multi-scaling function. Unlike an interpolation approach, the projection method will always have a solution. We provide examples and implementation details
  • Keywords
    digital filters; signal processing; wavelet transforms; L2; bandlimited functions; implementation details; initialization; input signal; multi-scaling function; multi-wavelet decomposition algorithm; multi-wavelet transforms; orthogonal projection; pre-filtering; projection method; Algorithm design and analysis; Biomedical engineering; Compaction; Convolution; Digital images; Equations; Filtering; Instruments; Interpolation; Signal generators;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
  • Conference_Location
    Munich
  • ISSN
    1520-6149
  • Print_ISBN
    0-8186-7919-0
  • Type

    conf

  • DOI
    10.1109/ICASSP.1997.599344
  • Filename
    599344
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=311256