• DocumentCode
    2153515
  • Title

    Two-dimensional periodic discrete wavelets bases

  • Author

    Shi, Zhi ; Peng, Bao-Yu

  • Author_Institution
    Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
  • fYear
    2010
  • fDate
    11-14 July 2010
  • Firstpage
    375
  • Lastpage
    380
  • 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 wavelets on ZN1 × ZN2 is derived. A method for constructing wavelets on ZN1 × ZN2 is presented and their properties is investigated by mean of time-frequency analysis method, matrix theory and operator theory.
  • Keywords
    Fourier analysis; discrete wavelet transforms; matrix algebra; time-frequency analysis; Fourier analysis; matrix theory; operator theory; time-frequency analysis method; two-dimensional periodic discrete wavelets bases; wavelet representation; Zinc; Fourier analysis; decomposition; reconstruction; wavelet;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wavelet Analysis and Pattern Recognition (ICWAPR), 2010 International Conference on
  • Conference_Location
    Qingdao
  • Print_ISBN
    978-1-4244-6530-9
  • Type

    conf

  • DOI
    10.1109/ICWAPR.2010.5576398
  • Filename
    5576398
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2153515