An Analytical Approach to Error Evaluation in Gamma Shadowed Nakagami-m Fading Channel for Different Path Loss Models

In this paper, considering general model of radio channel, where receiving signal is submitted by accidental fluctuations of the amplitude and phase, well known as fading, the aspect of composite fading parameters impact on the probability of error for GMSK modulation format, has been discussed. Composite shadowed Nakagami-m fading channel model is used to describe the statistical properties of wireless channel since the signal propagation is affected by three statistically independent phenomena: deterministic path loss, slow lognormal shadowing and fast multipath fading. Different models used for estimation of path loss in wireless channel were treated. For resolving problems, we used the new analytically derived closed-form expressions for the amplitude distributions and probability density function in gamma shadowed and varying Nakagami-m fading channel, which considers alternative approximation based on gamma-contribution. While solving the problem mentioned above, the analytical solution based on relevant approximation has been used, having in mind that there isn´t any exact analytical expression for the static error probability for noncoherent GMSK receiver