Effect of Mobility on the Outage and BER Performances of Digital Transmissions over Nakagami-m Fading Channels

The outage probability and average bit error rate (BER) of wireless digital systems in a Nakagami-m fading environment have been well analyzed in the literature. Most of the analysis considers static wireless terminals in which the received signal power follows a gamma distribution. However, many mobile and ad-hoc networks (MANETs) comprise of mobile receiving nodes with random mobility patterns. In this paper, we consider 1D, 2D and 3D wireless network deployment topologies with the random way-point (RWP) mobility model.

In such systems, the received power does not follow the gamma distribution in the presence of Nakagami-m fading. We derive the probability density function (PDF) and the cumulative distribution function (CDF) of the received signal power for a mobile node. Consequently, the outage probability and the average BER of general modulation schemes are derived. Moreover, the effect of co-channel interference on the outage probability is investigated for interference-limited and interference plus noise systems. The analysis quantifies the effects of mobility and propagation environment, characterized by the path loss exponent and Nakagami-m parameter for the desired and interfering signals, on the performance of a mobile receiver.