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<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.

Y. Herreros, J. Duprat and S. Kla, "New Redundant Representations of Complex Numbers and Vectors," in IEEE Transactions on Computers, vol. 42, no. , pp. 817-824, 1993.
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