New Redundant Representations of Complex Numbers and Vectors

  • Authors:
  • J. Duprat;Y. Herreros;S. Kla

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1993

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Abstract

The authors present a redundant representation for complex numbers called polygonal representation. This representation enables fast carry-free addition, in a way quite similar to the carry-free addition in signed-digit number systems and is convenient for multiplication. The technique is generalized in order to handle n-dimensional vectors.