Another contender in the arctangent race

Fast and accurate methods for computing the arctangent of a complex number x = I + jQ have been the subject of extensive study because estimating the angle θ of a complex value has so many applications in the field of signal processing. Practitioners interested in high-speed arctangent computations typically use look-up tables where the values of I and Q specify an address in read-only memory (ROM) containing an approximation of angle θ. In this paper, another method to compute the arctangent approximation is proposed that uses neither the look-up table nor high order polynomials.