• DocumentCode
    48980
  • Title

    Matrix-Based Ramanujan-Sums Transforms

  • Author

    Chen, Gang ; Krishnan, Sridhar ; Bui, Tien D.

  • Author_Institution
    Department of Electrical and Computer Engineering, Ryerson University, Toronto, Canada
  • Volume
    20
  • Issue
    10
  • fYear
    2013
  • fDate
    Oct. 2013
  • Firstpage
    941
  • Lastpage
    944
  • Abstract
    In this letter, we study the Ramanujan Sums (RS) transform by means of matrix multiplication. The RS are orthogonal in nature and therefore offer excellent energy conservation capability. The 1-D and 2-D forward RS transforms are easy to calculate, but their inverse transforms are not defined in the literature for non-even function ({\\rm mod}~ {\\rm M}) . We solved this problem by using matrix multiplication in this letter.
  • Keywords
    Energy conservation; Fourier transforms; White noise; Fourier transform (FT); Gaussian white noise; Ramanujan Sums (RS);
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2013.2273973
  • Filename
    6563143
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=48980