A Simple Approximation to the the κ - μ Phase Probability Density Function

In this article, a new random variable whose distribution closely follows that of the exact distribution of the κ-μ phase distribution is introduced. Whereas the exact statistics is given in an integral form, the approximate one is obtained in a simple formulation that can be computed in a very efficient manner. More interestingly, whereas the exact phase distribution of the κ-μ model comprises Rice and Nakagami-m as special cases, as designed, the special cases of the approximate phase solution are correspondingly Von Mises and, amazingly, Nakagami-m, obtained in an exact manner.