• DocumentCode
    1302058
  • Title

    Simple wavelet frames for finite functions on discrete tori

  • Author

    Sarty, Gordon E.

  • Author_Institution
    Dept. of Med. Imaging, Saskatchewan Univ., Saskatoon, Sask., Canada
  • Volume
    48
  • Issue
    2
  • fYear
    2000
  • fDate
    2/1/2000 12:00:00 AM
  • Firstpage
    587
  • Lastpage
    592
  • Abstract
    A new approach to numerical wavelet transforms is described where sampled n-dimensional signal data are treated as finite functions on discrete tori Tn. This approach shows that the undecimated numerical wavelet transform leads to decomposition onto a frame in the space of square-summable functions on the discrete torus l2 (Tn)
  • Keywords
    discrete wavelet transforms; filtering theory; functional analysis; group theory; image processing; signal sampling; 1D signal; 2D image processing; affine group; discrete tori wavelet transform; finite functions; numerical wavelet transforms; sampled n-dimensional signal data; signal processing; square-summable functions; undecimated numerical wavelet transform; wavelet filter; wavelet frames; Continuous wavelet transforms; Discrete Fourier transforms; Discrete wavelet transforms; Fourier transforms; Integral equations; Multiresolution analysis; Signal processing; Wavelet analysis; Wavelet domain; Wavelet transforms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.823991
  • Filename
    823991
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1302058