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2017•Unpublished venueRequires access

Research on Uncertainty of CORDIC Algorithm

Xiang Li, Liu Yaohua

Open publisher page 1 citations

Abstract

Coordinate rotation digital computer (CORDIC) algorithm can be used to implement a variety of transcendental functions. Using theory and techniques of uncertainty evaluation, we discuss the error sources and the total computational error of CORDIC algorithm in calculating arctangent, sine, and cosine functions. Besides, we reveal some conclusions for error propagation mechanism, which are not quite consistent with existing literature. Numerical simulation results are presented as well, which can verify the proposed expressions of uncertainty.

About this research paper

What this paper is about

Coordinate rotation digital computer (CORDIC) algorithm can be used to implement a variety of transcendental functions. Using theory and techniques of uncertainty evaluation, we discuss the error sources and the total computational error of CORDIC algorithm in calculating arctangent, sine, and cosine functions. Besides, we reveal some conclusions for error propagation mechanism, which are not quite consistent with existing literature. Numerical simulation results are presented as well, which can verify the proposed expressions of uncertainty.

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Available abstract

Coordinate rotation digital computer (CORDIC) algorithm can be used to implement a variety of transcendental functions. Using theory and techniques of uncertainty evaluation, we discuss the error sources and the total computational error of CORDIC algorithm in calculating arctangent, sine, and cosine functions. Besides, we reveal some conclusions for error propagation mechanism, which are not quite consistent with existing literature. Numerical simulation results are presented as well, which can verify the proposed expressions of uncertainty.

Key concepts: CORDIC, Transcendental function, Inverse trigonometric functions, Trigonometric functions, Sine, Algorithm, Computer science, Rotation (mathematics)

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