HDL Implementation of Sine-Cosine Function Using CORDIC Algorithm in 32-Bit Floating Point Format

This paper proposes a novel way to implement sine and cosine function in Coordinate Rotation Digital Computer (CORDIC) algorithm with efficient architectures. It is a class of shift-add algorithms for rotating vectors in a plane, which is usually used for the calculation of trigonometric functions, multiplication, division and conversion between binary and mixed radix number systems of DSP applications, such as Fourier transform. The Jack E Volder’s CORDIC algorithm is derived from the general equations for vector rotation. The values of sine and cosine functions are calculated in IEEE-754-1985 standardized single precision floating point format for achieving better precision, accuracy and portability in the result. A normalization scheme is used which reduces error and requires no extra hardware. The algorithm has been implemented in FPGA using VHDL