• DocumentCode
    2036163
  • Title

    Sampling set conditions for shift-invariant signal spaces

  • Author

    Xian, Jun

  • Author_Institution
    Dept. of Math., Zhejiang Univ., Hangzhou, China
  • Volume
    1
  • fYear
    2005
  • fDate
    14-15 July 2005
  • Firstpage
    155
  • Abstract
    In this research letter, we investigate the sampling set for the shift-invariant spaces, where the generator of shift-invariant spaces belongs to Wiener-amalgam space. Furthermore, a sufficient condition of sampling set for general shift-invariant spaces is derived, which is the partial solution of Aldroubi-Grochenig conjecture (Aldroubi and Grochenig, 2000).
  • Keywords
    signal sampling; Aldroubi-Grochenig conjecture; Wiener amalgam space; sampling set conditions; shift invariant signal spaces; Image processing; Image reconstruction; Image sampling; Mathematics; Reconstruction algorithms; Sampling methods; Signal processing; Signal sampling; Tin; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signals, Circuits and Systems, 2005. ISSCS 2005. International Symposium on
  • Print_ISBN
    0-7803-9029-6
  • Type

    conf

  • DOI
    10.1109/ISSCS.2005.1509874
  • Filename
    1509874