NEW REDUNDANT REPRESENTATIONS OF COMPLEX NUMBERS AND VECTORS

Authors
DUPRAT J HERREROS Y KLA S
Citation
J. Duprat et al., NEW REDUNDANT REPRESENTATIONS OF COMPLEX NUMBERS AND VECTORS, I.E.E.E. transactions on computers, 42(7), 1993, pp. 817-824
Citations number
6
Categorie Soggetti
Computer Sciences","Engineering, Eletrical & Electronic","Computer Applications & Cybernetics
Journal title
I.E.E.E. transactions on computers → ACNP
ISSN journal
00189340
Volume
42
Issue
7
Year of publication
1993
Pages
817 - 824
Database
ISI
SICI code
0018-9340(1993)42:7<817:NRROCN>2.0.ZU;2-#
Abstract
In this paper, we present a new redundant representation for complex n umbers, called polygonal representation. This representation enables f ast carry-free addition (in a way quite similar to the carry-free addi tion in signed-digits number systems), and is convenient for multiplic ation. Then we generalize our technique in order to handle n-dimension al vectors.