• DocumentCode
    1108763
  • Title

    A Note on Fast Cyclic Convolution

  • Author

    Zalcstein, Y.

  • Issue
    6
  • fYear
    1971
  • fDate
    6/1/1971 12:00:00 AM
  • Firstpage
    665
  • Lastpage
    666
  • Abstract
    This note presents a new algorithm for computing the cyclic convolution of two vectors over a commutative ring. The algorithm requires n(n1+1)...(nk+1)/2kmultiplications for the convolution of two n-vectors, where n=n1...nkis a factorization of n into factors which are pairwise relatively prime.
  • Keywords
    Convolution, cyclic matrix, supercirculant matrix.; Bismuth; Computer applications; Computer science; Computerized monitoring; Convolution; Fast Fourier transforms; Fourier transforms; Military computing; Modules (abstract algebra); Convolution, cyclic matrix, supercirculant matrix.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1971.223319
  • Filename
    1671912
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1108763