• DocumentCode
    2316706
  • Title

    The construction of M-band tight wavelet frames

  • Author

    Han, Jin-cang ; Cheng, Zheng-Xing

  • Author_Institution
    Fac. of Sci., Xi´´an Jiaotong Univ., Shaanxi, China
  • Volume
    6
  • fYear
    2004
  • fDate
    26-29 Aug. 2004
  • Firstpage
    3924
  • Abstract
    The theory of frame multiresolution analysis (FMRA) is a direct generalization of the (orthonormal) multiresolution analysis of Mallat. It provides conceptually new mathematical and signal processing results. We discuss tight wavelet frames associated with generating refinable functions with dilation factor M>2. We present a sufficient condition for finite number of functions to form a tight wavelet frame and establish general principles for constructing tight wavelet frames.
  • Keywords
    image resolution; signal processing; wavelet transforms; M-band tight wavelet frame; Mallat multiresolution analysis; direct generalization; frame multiresolution analysis; signal processing; Educational institutions; Hilbert space; Image coding; Image resolution; Multiresolution analysis; Signal denoising; Signal processing; Signal processing algorithms; Signal resolution; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
  • Print_ISBN
    0-7803-8403-2
  • Type

    conf

  • DOI
    10.1109/ICMLC.2004.1380534
  • Filename
    1380534