• DocumentCode
    3021081
  • Title

    Two-dimensional biorthonormal wavelet on ZN1 × ZN2

  • Author

    Shi, Zhi ; Xing, Hai-yan ; Peng, Boa-yu

  • Author_Institution
    Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
  • fYear
    2009
  • fDate
    12-15 July 2009
  • Firstpage
    423
  • Lastpage
    428
  • Abstract
    In this paper, Fourier analysis are first presented in the two-dimensional context. Then existing work on the representation of wavelets on ZN is extended to two dimensions. A necessary and sufficient condition on the existence of biorthonormal wavelets on ZN1 times ZN2 is derived. A method for constructing biorthonormal wavelets on ZN1 times ZN2 is presented and their properties is investigated by mean of time-frequency analysis method, matrix theory and operator theory.
  • Keywords
    Fourier analysis; Fourier transforms; matrix algebra; time-frequency analysis; wavelet transforms; Fourier analysis; Fourier transform; biorthonormal wavelet construction; matrix theory; operator theory; time-frequency analysis method; two-dimensional biorthonormal wavelet; Pattern analysis; Pattern recognition; Wavelet analysis; Decomposition; Fourier transform; Reconstruction; biorthonormal wavelet;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
  • Conference_Location
    Baoding
  • Print_ISBN
    978-1-4244-3728-3
  • Electronic_ISBN
    978-1-4244-3729-0
  • Type

    conf

  • DOI
    10.1109/ICWAPR.2009.5207487
  • Filename
    5207487
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3021081