No-overflowing Magnification Scheme in Redundant CORDIC algorithm and its implementation in FPGA

Abstract

In this paper, normalization and magnification methods to maintain the calculating accuracy of CORDIC algorithm for small amplitude inputs are discussed, especially the overflowing boundaries are analyzed through mathematical deduction and the correctness has been proven by simulation. Finally, the FPGA implementations of different methods are conducted, which shows that the proposed magnification factor chosen scheme has an effective reduction on hardware resources consumption compared with the conventional normalization method.