Effective Capacity Analysis over Cascaded Rayleigh Fading Channels with Arbitrary Correlation

In contrary to Shannon's ergodic capacity, the delay-constrained effective rate is used to define the maximum data rate of the real-time applications in 5G and beyond networks. Moreover, the received signal envelope in urban micro-cells environment follows a cascaded Rayleigh distribution with correlated channels. The effective capacity (EC) performance of the delay-sensitive communication system over the cascaded Rayleigh fading channel with arbitrary correlation is studied. The closed-form mathematical expressions for the EC are derived in terms of the Meijer's G-function and the effect of different fading parameters on the effective throughput of the system is demonstrated. The simplified asymptotic expression for high signal-to-noise ratio (SNR) and low SNR regimes are provided to gain more insight into the system. The effect of different system parameters on the EC performance is also demonstrated. Simulation results are corroborated along with the numerical results to verify the correctness of the formulation. To the best of the authors' knowledge, the derived expressions for this channel model are new and have not been reported in the literature.

Automated summary

This paper studies the effective capacity performance of a delay-sensitive communication system over a cascaded Rayleigh fading channel with arbitrary correlation. Closed-form mathematical expressions for the effective capacity are derived, and the effect of different fading parameters on the system's effective throughput is demonstrated.