Further Applications of Wireless Communication Systems over $\alpha-\eta-\kappa-\mu$ Fading Channels

TL;DR

This paper analyzes wireless communication performance over alpha-eta-kappa-mu fading channels, deriving exact expressions for effective rate and spectrum sensing metrics, and validating results with simulations.

Contribution

It introduces novel exact formulas using Fox's H-function for performance metrics over alpha-eta-kappa-mu channels, including a truncation method for infinite sums.

Findings

Derived closed-form expressions for effective rate and detection probability.

Provided a truncation method for infinite series in fading channel analysis.

Validated analytical results with Monte Carlo simulations.

Abstract

In this letter, some applications of wireless communication systems over $\alpha-\eta-\kappa-\mu$ fading channels are analysed. More specifically, the effective rate and the average of both the detection probability and area under the receiver characteristics curve of energy detection based spectrum sensing are studied. Furthermore, highly accurate method to truncating the infinite summation of the probability density function of $\alpha-\eta-\kappa-\mu$ fading conditions for a certain number of terms is provided. To this end, novel mathematically tractable exact expressions are derived in terms of the Fox's $H$-function (FHF). The asymptotic behaviour is also explained to earn further insights into the effect of the fading parameters on the system performance. A comparison between the numerical results and Monte Carlo simulations is presented to verify the validation of our analysis.