• DocumentCode
    3478709
  • Title

    Family of fast transforms over GF(3) logic

  • Author

    Falkowski, Bogdan J. ; Fu, Cheng

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
  • fYear
    2003
  • fDate
    16-19 May 2003
  • Firstpage
    323
  • Lastpage
    328
  • Abstract
    New classes of recursive transforms over GF(3) have been introduced here. They are based on simple recursive equations what allows to obtain corresponding fast forward and inverse transforms and very regular butterfly diagrams. The classification is further extended into various transforms with horizontal and vertical permutations. The relations between various classes of introduced ternary transforms are also discussed.
  • Keywords
    decision diagrams; matrix algebra; switching functions; ternary logic; fast transform; linearly independent matrices; permutation; recursive transform; switching function; ternary logic; word decision diagram; Algebra; Circuit synthesis; Circuit testing; Equations; Galois fields; Logic testing; Multivalued logic; Neural networks; Switching circuits; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 2003. Proceedings. 33rd International Symposium on
  • ISSN
    0195-623X
  • Print_ISBN
    0-7695-1918-0
  • Type

    conf

  • DOI
    10.1109/ISMVL.2003.1201424
  • Filename
    1201424