Efficient division in the binary representation of complex numbers

D. C. Blest, T. Jamil

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

Computer operations involving complex numbers, essential in such applications as digital signal processing and image processing, are usually performed in a "divide-and-conquer" approach dealing separately with the real and imaginary parts and then accumulating the results. There have been several proposals to treat complex numbers as a single unit but all seem to have floundered on the basic problem of the division process without which, of course, it is impossible to carry out all but the most basic arithmetic. This paper resurrects an early proposal to express complex numbers in a single "binary" representation and provides a fail-safe procedure for obtaining the quotient of two complex numbers expressed in this representation.

Original languageEnglish
Title of host publicationConference Proceedings - IEEE SOUTHEASTCON
Pages188-195
Number of pages8
Publication statusPublished - 2001
EventIEEE SoutheastCon 2001 - Clemson, SC, United States
Duration: Mar 30 2001Apr 1 2001

Other

OtherIEEE SoutheastCon 2001
CountryUnited States
CityClemson, SC
Period3/30/014/1/01

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Blest, D. C., & Jamil, T. (2001). Efficient division in the binary representation of complex numbers. In Conference Proceedings - IEEE SOUTHEASTCON (pp. 188-195)