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The existing relay-assisted terahertz (THz) wireless system is limited todual-hop transmission with pointing errors and short-term fading withoutconsidering the shadowing effect. This paper analyzes the performance of amultihop-assisted backhaul communication mixed with an access link under theshadowed fading with antenna misalignment errors. We derive statistical resultsof the signal-to-noise ratio (SNR) of the multihop link by consideringindependent but not identically distributed (i.ni.d) $\alpha$-$\mu$ fadingchannel with pointing errors employing channel-assisted (CA) and fixed-gain(FG) amplify-and-forward (AF) relaying for each hop. We analyze the outageprobability, average BER, and ergodic capacity performance of the mixed systemconsidering the generalized-$K$ shadowed fading model with AF anddecode-and-forward (DF) protocols employed for the access link. We derive exactexpressions of the performance metrics for the CA-multihop system with the DFrelaying for the last hop and upper bound of the performance for theFG-multihop system using FG and DF relaying at the last relay. We also developasymptotic analysis in the high SNR to derive the diversity order of the systemand use computer simulations to provide design and deployment aspects ofmultiple relays in the backhaul link to extend the communication range for THzwireless transmissions.

On the Performance of Multihop THz Wireless System Over Mixed Channel Fading with Shadowing and Antenna Misalignment