• DocumentCode
    1639851
  • Title

    Oversampling invariance of wavelet frames

  • Author

    Gopinath, R.A. ; Burrus, C.S.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
  • fYear
    1992
  • Firstpage
    375
  • Lastpage
    378
  • Abstract
    It is shown that for all wavelet frames that have filter banks associated with them, oversampling by a factor of N preserves the frame property with the same dual frame (oversampled by N) iff (N, M)=1. In particular, tight frames are preserved by oversampling by N, with (N, M)=1. The results are sharper for the case of filter bank (FB) wavelet frames. It is conjectured that all compactly supported wavelet frames are FB wavelet frames
  • Keywords
    filtering and prediction theory; wavelet transforms; filter banks; oversampling invariance; wavelet frames; Channel bank filters; Convolution; Ear; Filter bank; Finite impulse response filter; Frequency division multiplexing; Hilbert space; Speech coding; Speech synthesis; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
  • Conference_Location
    Victoria, BC
  • Print_ISBN
    0-7803-0805-0
  • Type

    conf

  • DOI
    10.1109/TFTSA.1992.274139
  • Filename
    274139
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1639851