CORDIC IMPLEMENTATION OF SINE-COSINE FUNCTIONS: Algorithm and Implementation Floating-Point Format

This work describes the fundamentals of CORDIC (Co- ordinate rotation Digital Computer) algorithm and how CORDIC algorithm can be used to calculate the trigonometric functions (Sine and Cosine) in circular rotation mode. The value of Sine and cosine functions are calculated in IEEE-754-1985 standardized single precision floating point format for better precision, accuracy and portability in the result. A normalization scheme is used which reduces error and requires no extra hardware. The trigonometric function values calculated using CORDIC algorithm are implemented in VHDL (Very High Speed Hardware Description Language), including language and design issues. The algorithm has been implemented in FPGA using VHDL.

Ashutosh Gupta is a Lecturer of Elect. and Comm. Engineering, presently at Amity University, Noida, INDIA. Received B.E in 2006 and M.Tech in VLSI Design and Embedded Systems in 2008. Worked for two years as a Project Assistant in CSIR Research Lab, CEERI Pilani. His area of interest are FPGA based Reconfigurable Computing Systems and Image Processing.