Variants of CORDIC for Trigonometric Function Calculation and its Applications
George Joseph
Abstract
George Joseph
Abstract
Abstract- Trigonometric functions have wide variety of applications in real life. Especially sine and copsine functions have been very useful in applications for medical science, signal processing, geology, electronic communication, thermal analysis, satellite communication and many more. There are certain applications where the power consumption of the hardware need to be reduced at the expense of accuracy. This paper presents a design that calculate sine and cosine values of a given angle using COordinate Rotation DIgital Computer (CORDIC) algorithm. This paper compares the variants of CORDIC which can be used for the calculation of the trigonometric functions of an angle such as bi-rotation CORDIC and four micro rotation CORDIC. It is found that these two methods increases the speed of computation at the expense accuracy. Keywords-JPEG, CORDIC, SINE, COSINE,DCT,image compression,rotations
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Abstract- Trigonometric functions have wide variety of applications in real life. Especially sine and copsine functions have been very useful in applications for medical science, signal processing, geology, electronic communication, thermal analysis, satellite communication and many more. There are certain applications where the power consumption of the hardware need to be reduced at the expense of accuracy. This paper presents a design that calculate sine and cosine values of a given angle using COordinate Rotation DIgital Computer (CORDIC) algorithm. This paper compares the variants of CORDIC which can be used for the calculation of the trigonometric functions of an angle such as bi-rotation CORDIC and four micro rotation CORDIC. It is found that these two methods increases the speed of computation at the expense accuracy. Keywords-JPEG, CORDIC, SINE, COSINE,DCT,image compression,rotations
Key concepts: CORDIC, Sine, Trigonometric functions, Trigonometry, Rotation (mathematics), Computation, Algorithm, Digital signal processing