Redundant Arithmetic CORDIC System with a Unit Scale Factor

Christopher T Clarke, G R Nudd

Research output: Chapter or section in a book/report/conference proceedingChapter or section


The CORDIC algorithm for the calculation of trigonometric functions has traditionally suffered from two problems; speed, and the necessity to pre-scale the inputs. The speed problem is overcome to a large extent by the introduction of redundant number systems which have been shown by others. Here we show a new CORDIC system which has a unit scale factor that can be ignored. The unit scale factor is achieved by rotating the vector in 3 dimensional space in a manner which scales its projection onto the X-Y plane by the reciprocal of the overall scale factor. This new technique takes the same number of cycles as the standard CORDIC algorithm, with only marginally slower cycle times than the redundant system of Takagi. The system is shown to be entirely compatible with redundant number system implementations of the CORDIC algorithm.
Original languageEnglish
Title of host publicationMathematics in Signal Processing III
EditorsJ G McWirter
Place of PublicationOxford
PublisherOxford University Press
Number of pages11
ISBN (Print)0198534809
Publication statusPublished - Aug 1994
EventMathematics in Signal Processing III - Warwick, UK United Kingdom
Duration: 1 Aug 1994 → …


ConferenceMathematics in Signal Processing III
Country/TerritoryUK United Kingdom
Period1/08/94 → …

Bibliographical note

Mathematics in signal processing III: based on the proceedings of the third conference organized by the Institute of Mathematics and Its Applications on mathematics in signal processing, held at the University of Warwick in December 1992

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