• DocumentCode
    478282
  • Title

    The Standard Dual Frame of a Wavelet Frame Generated by Two Functions

  • Author

    Zhou, Jianfeng ; Li, Tizheng

  • Author_Institution
    Coll. of Infant Teachers, Xi´´an Univ. of Arts & Sci., Xi´´an
  • Volume
    4
  • fYear
    2008
  • fDate
    18-20 Oct. 2008
  • Firstpage
    277
  • Lastpage
    280
  • Abstract
    In this paper, we show that there exist wavelet frames generated by two functions which have good dual wavelet frames, but for which the standard dual wavelet frame does not consist of wavelets. That is to say, the standard dual wavelet frame cannot be generated by the translations and dilations of a single function.
  • Keywords
    wavelet transforms; dilations; standard dual wavelet frame; translations; Art; Artificial intelligence; Bismuth; Data compression; Educational institutions; Focusing; Fourier series; Hilbert space; Image processing; Signal processing; standard dual frames; wavelet frames; wavelets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2008. ICNC '08. Fourth International Conference on
  • Conference_Location
    Jinan
  • Print_ISBN
    978-0-7695-3304-9
  • Type

    conf

  • DOI
    10.1109/ICNC.2008.179
  • Filename
    4667289