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Efficient algorithms and VLSI architectures for trigonometric functions in the logarithmic number system based on the subtraction function

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3 Author(s)
Malamas, E.N. ; Dept. of Electr. & Comput. Eng., Patras Univ., Greece ; Paliouras, V. ; Stouraitis, T.

In this paper, algorithms and architectures for the evaluation of trigonometric functions in the Logarithmic Number System (LNS) are described. A novel algorithm for the computation of the LNS cosine, based on the subtraction function, is presented and extended to compute all trigonometric functions. The proposed algorithms show a major advantage over other methods in terms of memory requirements (up to 94% improvement as opposed to direct polynomial approximation) and computational speed. A hardware implementation of an elementary LNS trigonometric processor with 12-bit accuracy is also presented, to illustrate the feasibility of extending the LNS processors to include trigonometric functions

Published in:

Electronics, Circuits, and Systems, 1996. ICECS '96., Proceedings of the Third IEEE International Conference on  (Volume:2 )

Date of Conference:

13-16 Oct 1996