Joint Phase and Amplitude Modelling Using a Finite-State Markov Chain for η–µ Fading Channels

Abstract

The η–µ fading distribution is used for better representation of small scale variations of the faded signal in Non Line-Of-Sight conditions. In this paper, first-order Finite-State Markov Chain (FSMC) model of η–µ fading channel is proposed for two cases. i.e., considering received signal amplitude only and by jointly varying amplitude and phase. FSMC model captures the essence of slowly fading channels and acts as an important tool to study the performance of wireless communication systems. The Performance parameters of η–µ fading channels like level crossing rate, steady-state probability, state-time duration and state transition probability are studied. Numerical results depicting the performance of FSMC for η–µ fading channels show that η–µ distribution (Format 2) is a severely affected fading channel as compared to η–µ distribution (Format 1) as the former generally occurs in urban areas whereas the latter occurs in suburban and rural areas.