On the channel capacity with MRC university in the presence of log-normally modeled co-channel interference

In cellular mobile propagation scenario, the presence of co-channel interference severely affects the throughput of the wireless system. Thus, it is essential to analyze the channel capacity of such link affected by the co-channel interference. It is also well known that the most appropriate model for capturing shadowing effect is lognormal (LN). In this paper, the closed-form expressions for the outage probability and the channel capacity with maximal ratio combining (MRC) diversity for different adaptive schemes are analyzed and investigated over the signal-to-interference (SIR) channel, where both the desired and the interferers channel are modeled as LN distribution. Firstly, the probability density function (PDF) utilizing the Fenton-Wilkinson method is derived, thereafter using these statistics, we have derived the closed-forms of the outage probability and the channel capacity under various adaptive schemes. Further, the lower bounds of the various transmission policies of the channel capacity are proposed. The analytical results are validated by comparing them with exact numerical results and Monte-Carlo simulations.