On The Effective Capacity Performance Analysis Over Nakagami‐m Distribution‐Based Double‐Shadowed Rician Fading Channel

The practical applications within the domain of the fifth generation (5G) and the emerging beyond 5G network necessitate a high data transmission rate along with minimal achievable delay. With this objective in focus, the maximum capacity is extensively quantified through the utilization of the delay‐constrained effective capacity (EC) technique, which stands in contrast to Shannon's ergodic capacity. The current study is engaged in the analysis of EC within a delay‐limited wireless system operating in a double‐shadowed Rician (DSR) fading channel. Within this channel, only the Nakagami‐m distribution concept has been applied to both the dominant and secondary shadowing components of the proposed network model. A new exact closed‐form expression for EC within the DSR fading channel has been derived using the Fox‐H function. Furthermore, an analysis has been conducted for both high and low signal‐to‐noise ratios to provide further insights and explanations for the proposed model. It is worth noting that the results obtained from both simulation and analytical methods exhibit substantial similarity, revealing interdependence among various parameters present in the proposed model. Key Points A closed‐form expression for effective capacity (EC) analysis is derived for a Double Shadowed Rician‐fading channel based on Nakagami‐m distribution only, utilizing the Fox‐H function Additionally, an investigation into the closed‐form EC expression at high signal‐to‐noise ratio (SNR) is undertaken. Furthermore, novel EC formulations are developed for communication systems operating in low‐SNR environments Finally, simulation results obtained from mathematical derivations are presented to validate the accuracy of the derived expressions