• DocumentCode
    1486246
  • Title

    A new tensor product formulation for Toom´s convolution algorithm

  • Author

    Elnaggar, Ayman ; Alouweiri, H.M. ; Ito, M.R.

  • Author_Institution
    Sultan Qaboos Univ., Muscat, Oman
  • Volume
    47
  • Issue
    4
  • fYear
    1999
  • fDate
    4/1/1999 12:00:00 AM
  • Firstpage
    1202
  • Lastpage
    1204
  • Abstract
    This correspondence presents a new recursive formulation of Toom´s algorithm that allows the generation of higher order (longer size) one-dimensional (1-D) convolution architectures from three lower order (shorter sizes) convolution architectures. Our methodology is based on manipulating tensor product forms so that they can be mapped directly into modular parallel architectures. The resulting convolution circuits have very simple modular structure and regular topology
  • Keywords
    convolution; matrix algebra; parallel algorithms; parallel architectures; tensors; 1D convolution architectures; Toom´s algorithm; VLSI structures; convolution circuits; linear convolution; modular parallel architectures; recursive formulation; regular topology; tensor product formulation; Circuit topology; Convolution; Digital signal processing; Image processing; Indium tin oxide; Parallel architectures; Signal processing; Signal processing algorithms; Tensile stress; Very large scale integration;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.752626
  • Filename
    752626