Issue No.07 - July (1993 vol.42)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/12.237722
<p>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.</p>
redundant representation; complex numbers; polygonal representation; carry-free addition; signed-digit number systems; multiplication; n-dimensional vectors; digital arithmetic.
J. Duprat, Y. Herreros, S. Kla, "New Redundant Representations of Complex Numbers and Vectors", IEEE Transactions on Computers, vol.42, no. 7, pp. 817-824, July 1993, doi:10.1109/12.237722