Co-channel interference analysis for mobile radio suffering lognormal shadowed Nakagami fading

Determination of the outage performance of a cellular mobile system in lognormal shadowed Nakagami fading environments has been the focus of many researchers. However, general results are not available in the literature. The difficulty arises from the philosophy which attempts to determine first the outage probability for Nakagami fading and then average it over lognormal distributions. The consequence is outage expressions in the form of an intractable multi-fold integral. By formulating the problem in the framework of characteristic functions and naturally combining the two separated steps in a single one, the author obtains an expression for outage probability always in the form of a two-fold integral no matter how many co-channel users are in operation. The outage probability so obtained can be accurately and efficiently evaluated by using the Hermite and Gaussian quadrature. It thereby provides a general analysis tool for lognormal shadowed Nakagami channels with arbitrary parameters. Numerical results are also presented to illustrate the theory.