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

The eta-mu 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 eta-mu 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 eta-mu 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 eta-mu fading channels show that eta-mu distribution (Format 2) is a severely affected fading channel as compared to eta-mu distribution (Format 1) as the former generally occurs in urban areas whereas the latter occurs in suburban and rural areas.