Performance of Dual-Hop Relaying for THz-RF Wireless Link Over Asymmetrical $\alpha$-$\mu$ Fading

Terahertz (THz) frequency bands can be promising for data transmissions between the core network and access points (AP) next-generation wireless systems. In this paper, we analyze performance of a dual-hop THz-RF system where an AP facilitates transmission user equipment (UE). We consider generalized model end-to-end channel with independent not identically distributed (i.ni.d.) fading THz RF links using $\alpha$ - notation="LaTeX">$\mu$ distribution, link pointing errors, asymmetrical relay position. derive closed-form expression cumulative distribution function (CDF) signal to noise ratio (SNR) link, which is valid real-valued analysis over channels. Using derived CDF, relayed decode-and-forward (DF) protocol by deriving expressions outage probability, moments SNR, average BER, tight approximation ergodic capacity in terms parameters. develop asymptotic on capacity, BER high SNR region diversity order system. also considered i.i.d. simplified provide insight behavior analytically under various practically relevant scenarios. Simulation numerical show significant effect parameters nominal normalized beam-width relay-assisted