On the Performance of THz Wireless Systems over $α$-$\mathcal{F}$ Channels with Beam Misalignment and Mobility

Abstract: This paper investigates the performance of terahertz~(THz) wireless systems over the $\alpha$-$\mathcal{F}$ fading channels with beam misalignment and mobility. New expressions are derived for the probability density, cumulative distribution, and moment generating functions, as well as higher-order moments of the instantaneous signal-to-noise ratio. Building upon the aforementioned expressions, we extract novel formulas for the outage probability, symbol error probability, and average channel capacity. Asymptotic metrics are also deduced, which provide useful insights. Monte Carlo simulations results are presented to support the derived analytical framework.