Statistics of the MFTR Fading Model with Applications to Wireless Communications Performance Analysis in High Frequency Bands

The recently introduced Multi-cluster Fluctuating Two-Ray (MFTR) fading model for wireless communications has been shown to provide an excellent fit to experimental measurements in the sub-THz band. The probability density function (PDF) and cumulative distribution function (CDF) of this model are given in terms of multifold generalized hypergeometric functions, series or integrals, which complicates further derivations. In this work, we derive a closed-form expression for the generalized moment-generating function (GMGF) of the signal-to-noise ratio (SNR) of MFTR fading, thus circumventing the complexity of this model, as it permits to obtain all the moments of the distributions and allowing for the rapid computation of a number of relevant performance metrics. The obtained statistical results are exemplified by analyzing wireless channels undergoing MFTR fading in terms of the symbol error rate (SER), the secrecy capacity outage in the presence of an eavesdropper, the exact and asymptotic outage probability under interference and the outage probability in a composite Inverse Gamma (IG) shadowing - MFTR fading model.