• DocumentCode
    1855349
  • Title

    A 2D extension of the sampling algorithm for sparse Fourier representations

  • Author

    Nishimura, Kazutaka ; Takei, Yoshinori ; Yoshikawa, Toshinori ; Zhang, Xi

  • Author_Institution
    Dept. Electr. Eng., Nagaoka Univ. of Technol., Niigata, Japan
  • Volume
    2
  • fYear
    2004
  • fDate
    25-28 July 2004
  • Abstract
    Recently, a very efficient sampling algorithm for finding a B-term Fourier representation of given 1D discrete signal is presented (Gilbert et al., 2002). In this paper, we present a modified version of the algorithm, which can be applied to 2D signals. As in the original algorithm, dependence of the running time on the signal length is polylogarithmic.
  • Keywords
    computational complexity; discrete Fourier transforms; signal representation; signal sampling; B-term Fourier representation; discrete signal; polylogarithmic dependence; sampling algorithm; sparse Fourier representations; Approximation algorithms; Computational complexity; Cost function; Databases; Discrete Fourier transforms; Fast Fourier transforms; Fourier transforms; Frequency; Sampling methods; Sorting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
  • Print_ISBN
    0-7803-8346-X
  • Type

    conf

  • DOI
    10.1109/MWSCAS.2004.1354108
  • Filename
    1354108