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Current statistical channel models for Terahertz (THz) wireless communicationprimarily concentrate on the sub-THz band, mostly with $\alpha$-$\mu$ andGaussian mixture fading distributions for short-term fading and deterministicmodeling for atmospheric absorption. In this paper, we develop a generalizedstatistical model for signal propagation at THz frequencies considering randompath-loss employing Gamma distribution for the molecular absorptioncoefficient, short-term fading characterized by the$\alpha$-$\eta$-$\kappa$-$\mu$ distribution, antenna misalignment errors, andtransceiver hardware impairments. The proposed model can handle variouspropagation scenarios, including indoor and outdoor environments,backhaul/fronthaul situations, and complex urban settings. Using Fox'sH-functions, we present the probability density function (PDF) and cumulativedistribution function (CDF) that capture the combined statistical effects ofchannel impairments. We analyze the outage probability of a THz link todemonstrate the analytical tractability of the proposed generalized model. Wepresent computer simulations to demonstrate the efficacy of the proposed modelfor performance assessment with the statistical effect of atmosphericabsorption.

A Generalized Statistical Model for THz wireless Channel with Random Atmospheric Absorption