Multiplier-less Hardware Realization of Trigonometric Functions for High Speed Applications

Abstract

This paper presents a unified architecture of trigonometric functions using CORDIC algorithm and its implementation on FPGA. The hardware finds applications in fields of signal processing, mathematical calculators, and various other engineering applications. CORDIC algorithm, based on principle of vector rotations, computes the trigonometric functions using only add and shift operations. The proposed architecture is a structural model, coded in Verilog HDL and is implemented on Virtex-4 FPGA kit. The proposed architecture, which determines five trigonometric functions, utilizes less hardware resources than previously reported architectures that can compute only sine and cosine functions. This architecture also provides an improvement in terms of chip area consumed and the maximum frequency of operation of the hardware. The proposed architecture can also be easily reconfigured for applications where higher accuracy is required. The novelty of this paper is implementing the unified architecture along with reducing the device resource utilization and number of clock cycles required with respect to previous works.