• DocumentCode
    2152781
  • Title

    Characterizations of tight frame wavelets with special dilation matrices

  • Author

    Feng-Juan Zhu ; Yong-Dong Huang

  • Author_Institution
    Dept. of Found., North Univ. for Nat., Yinchuan, China
  • fYear
    2010
  • fDate
    11-14 July 2010
  • Firstpage
    294
  • Lastpage
    299
  • Abstract
    We study all generalized low-pass filters and tight frame wavelet with special dilation matrix M (M-TFW), where M satisfy Md = 2Id and generates the checkerboard lattice. Firstly, we study the pseudo-scaling function, generalized low-pass filters and multiresolution analysis tight frame wavelets with dilation matrix M(MRA M-TFW), and give some important characterization about them. Then, we characterize all M-TFW by showing that they correspond precisely to those for which the dimension function is non-negative integer-valued.
  • Keywords
    low-pass filters; matrix algebra; wavelet transforms; checkerboard lattice; low-pass filters; pseudoscaling function; special dilation matrices; tight frame wavelets characterizations; Filters; dimension function; frames; semi-orthogonal; 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.2010.5576366
  • Filename
    5576366
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2152781