PROJECT TITLE :

Asymptotically Exact Approximations for the Symmetric Difference of Generalized Marcum $Q$-Functions

ABSTRACT:

In this paper, we derive two easy and asymptotically precise approximations for the function outlined as . The generalized Marcum -function seems in several eventualities in communications during this specific type and is referred to as the symmetric distinction of generalized Marcum -functions or the distinction of generalized Marcum -functions with reversed arguments. We tend to show that the symmetric difference of Marcum -functions will be expressed in terms of a single Gaussian -operate for massive and even moderate values of the arguments and . A second approximation for is additionally given in terms of the exponential function. We tend to illustrate the applicability of these new approximations in several scenarios: 1) statistical characterization of Hoyt fading; a pair of) performance analysis of communication systems; three) level crossing statistics of a sampled Rayleigh envelope; and 4) asymptotic approximation of the Rice -function.