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2013•World Congress on EngineeringRequires access

Scaling Free CORDIC Algorithm Implementation of Sine and Cosine Function

Aida Syafinaz Mokhtar, Mamun Bin Ibne Reaz, Kalaivani Chellappan, Mohd Alauddin Mohd Ali

Open publisher page 7 citations

Abstract

Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.

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What this paper is about

Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.

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Available abstract

Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.

Key concepts: CORDIC, Sine, Trigonometric functions, Algorithm, Taylor series, Computer science, Computation, Scaling

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