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A redundant arithmetic CORDIC system with a unit scale factor

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Clarke, C. T. and Nudd, G. R. (1992) A redundant arithmetic CORDIC system with a unit scale factor. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)

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Abstract

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.

Item Type: Report
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Computer Science
Library of Congress Subject Headings (LCSH): Trigonometrical functions
Series Name: Department of Computer Science research report
Publisher: University of Warwick. Department of Computer Science
Official Date: December 1992
Dates:
DateEvent
December 1992Completion
Number: Number 234
Number of Pages: 10
DOI: CS-RR-234
Institution: University of Warwick
Theses Department: Department of Computer Science
Status: Not Peer Reviewed
Publication Status: Unpublished
Publisher Statement: C.T.&nbsp;Clarke and G.R.&nbsp;Nudd, &ldquo;A Redundant Arithmetic CORDIC System with a Unit Scale Factor&rdquo;, <i>IMA Conference Proceedings on Mathematics in Signal Processing III</i>, Oxford University Press, pp.&nbsp;63-73 (1994)
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