A UNIFIED AND DIVISION-FREE CORDIC ARGUMENT REDUCTION METHOD WITH UNLIMITED CONVERGENCE DOMAIN INCLUDING INVERSE HYPERBOLIC FUNCTIONS

One of the main problems of the CORDIC algorithm is the limited conver gence domain, in which the functions can be calculated. Two different approaches can be employed to overcome this constraint: first, an argu ment reduction method and, second, an expansion of the CORDIC converge nce domain. While the first approach requires significant processing o verhead due to the need for divisions especially for tanh-1, the secon d technique achieves an increased but still limited convergence domain only. In this brief contribution, we present a unified division-free argument reduction method and a regular pipeline/array architecture fo r floating point or fixed point implementations which results in savin gs of computation time. In contrast to previous methods we avoid extra CORDIC arithmetic for realization of argument reduction.