Outage Probability over Nakagami − m Fading Channel in the Random Direction Mobile Model

Abstract

When solving the problems of outage probability in the networks, many researchers only have analyzed in static networks in recent years. Using diversity technology to improve the data rate can decrease the multipath fading effect in wireless communication. Based on our knowledge, most of the existing work in dynamic mobility models in wireless network consider Rayleigh fading environments. In fact, the Nakagami − m fading channel is more suitable for mobile wireless networks, thus the Nakagami−m fading channel is widely used for solving dynamic mobility cases when compared with Rayleigh channel. In this paper, we study the received power and the outage probability over Nakagami−m fading channel. This paper uses the Maximal Ratio Combining (MRC) method to study the diversity impact. Besides, the node movement in the mobile network in this work is depicted through Random Direction (RD) mobility model to study the effect of diversity, and we have considered path loss exponent of one-dimensional(1-D), two-dimensional(2-D) and three-dimensional(3-D) development of nodes. We analyze the Probability Density Function (pdf) of the received power and also give out a calculation method for the outage probability of the Nakagami − m fading channel. We compare with the influences of the system parameters on the outage probability as well as the influences of the parameters of path loss.