FPGA Implementation of the Trigonometric Functions Using the CORDIC Algorithm

Abstract

The paper presents the design principle and FPGA implementation of various trigonometric functions such as Sine, Cosine, Exponential, Inverse Exponential, Arc Tangent, Logarithm, and Polar to Rectangular conversion using the standard coordinate rotation digital computer (CORDIC) algorithm. Traditions implementation of these functions on a FPGA consumes a lot of area and the results of these functions are floating point which is difficult to design. Hence CORDIC algorithm with IEEE 32 bit floating point representation is used in this paper for implementation. CORDIC is an iterative algorithm which can perform the complex functions using the shift and add approach. The serial and pipelined CORDIC architectures configured on a Cyclone IV E Device are compared in terms of Area, Delay, and Power dissipation. Serial CORDIC architecture design has low area whereas; pipeline CORDIC architecture has low latency. It finds the application in graphic processors, digital synchronizer, Real time image processing, and scientific calculators and so on.