(M,p,k)-friendly points: a table-based method for trigonometric function evaluation

Abstract : We present a new way of approximating the sine and cosine functions by a few table look-ups and additions. It consists in first reducing the input range to a very small interval by using rotations with "(M, p, k) friendly angles", proposed in this work, and then by using a bipartite table method in a small interval. An implementation of the method for 24- bit case is described and compared with CORDIC. Roughly, the proposed scheme offers a speedup of 2 compared with an unfolded double-rotation radix-2 CORDIC.