• DocumentCode
    3312343
  • Title

    Fast classical and quantum fractional Haar wavelet transforms

  • Author

    Labunets, Valeri ; Labunets-Rundblad, Ekaterina ; Astola, Jaakko

  • Author_Institution
    Int. Center for Signal Process., Tampere Univ. of Technol., Finland
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    564
  • Lastpage
    569
  • Abstract
    The fractional Fourier transform (FRFT) is one-parametric generalization of the classical Fourier transform. FRFT was introduced in the 1980s and found a lot of applications in signal processing. The time and spectral domains are both the special cases of the functional Fourier domain. They correspond to the 0th and 1st fractional Fourier domains, respectively. We introduce the classical and quantum fractional Haar-wavelet transforms and develop corresponding fast algorithms
  • Keywords
    Haar transforms; signal processing; transforms; wavelet transforms; fast classical Haar wavelet transforms; quantum fractional Haar wavelet transforms; signal processing; Digital signal processing; Discrete transforms; Fourier transforms; Image processing; Matrix decomposition; Polynomials; Signal processing; Signal processing algorithms; Symmetric matrices; Wavelet transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image and Signal Processing and Analysis, 2001. ISPA 2001. Proceedings of the 2nd International Symposium on
  • Conference_Location
    Pula
  • Print_ISBN
    953-96769-4-0
  • Type

    conf

  • DOI
    10.1109/ISPA.2001.938692
  • Filename
    938692