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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 (Unpublished)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 | ||||
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| 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: |
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| 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| Status: | Not Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||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. Clarke and G.R. Nudd, “A Redundant Arithmetic CORDIC System with a Unit Scale Factor”, <i>IMA Conference Proceedings on Mathematics in Signal Processing III</i>, Oxford University Press, pp. 63-73 (1994) | ||||
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