Simulation Modeling of Statistical Nakagami-m Fading Channels

Abstract

The fading, which is caused due to multipath propagation in a communication channel, challenges the wireless communication engineer who tries to establish a reliable communication path between transmitter and receiver. The fading is especially very severe when there is no line-of-sight component, which is the most occurring case in urban and suburban cities. Generally, the multipath fading amplitude distribution is modeled with Rayleigh PDF. But when the fading is very severe, the Rayleigh model failed to characterize the exact channel characteristics. So, a powerful model, named Nakagami-m model, is used to represent the channel. Many techniques like “Pätzold analytical deterministic simulation model, first-order hidden markov model” were proposed to model a communication channel with Nakagami-m distribution for 0≤m≤1. In this thesis report, a more computationally efficient method is introduced which takes the advantage of product of two independent random processes, namely, a square root beta process and a complex Gaussian random process. First, the square root beta process is realized by a well known technique known as inverse PDF. Next, the complex Gaussian random process is realized with the technique “rice’s sum of sinusoids”, in which the required parameters are calculated with optimal approximation method given by Matthias Pätzold. The method has been implemented with the mathematical tool MATLAB. The generated complex random process, its magnitude and phase PDF plots were drawn and compared with the actual plots. For future scope, a ready to implement simulation procedure has been suggested to apply this method to generate the correlated Nakagami-m fading channels using the same technique.