Design and chip implementation of modified CORDIC algorithm for Sine and Cosine functions application: PARK transformation

Abstract

The CO-ordinate Rotation DIgital computer (CO.R.DI.C) algorithm is an iterative procedure to evaluate various elementary functions. In this contribution, design and chip implementation of modified CORDIC algorithm for sine and cosine are presented. Modified CORDIC algorithm reduce the number of iterations. The modified algorithm needs, at most, half the number of iterations to achieve the same accuracy as the classical algorithm. The modifications are applicable to circular CORDIC in rotation modes. The hardware integration is carried out using field programmable gate arrays (F.P.G.As). To demonstrate the performances of the design, pipeline architecture of the CORDIC algorithm is studied. The design is used to compute the PARK transformation in control theory for electric vehicle.