Statistical Characterization of the Multicluster Two-Wave Fading Model

Abstract

The recently introduced independent fluctuating two-ray (IFTR) fading model, consisting of two specular components fluctuating independently plus a diffuse component, has proven to provide an excellent fit to different wireless environments, including the millimeter-wave band. However, the original formulations of the probability density function (PDF) and cumulative distribution function (CDF) of this model are not applicable to all possible values of its defining parameters, and are given in terms of multifold generalized hypergeometric functions, which prevents their widespread use for the derivation of performance metric expressions. In this paper we present a new formulation of the IFTR model as a countable mixture of Gamma distributions which greatly facilitates the performance evaluation for this model in terms of the metrics already known for the much simpler and widely used Nakagami-m fading. Additionally, a closed-form expression is presented for the generalized moment generating function (GMGF), which permits to readily obtain all the moments of the distribution of the model, as well as several relevant performance metrics. Based on these new derivations, the IFTR model is evaluated for the average channel capacity, the outage probability with and without cochannel interference, and the bit error rate (BER), which are verified by Monte Carlo simulations.

A Tractable Statistical Representation of IFTR Fading With Applications

“…where A j are the IFTR coefficients defined in (11). Proof: The average metric in IFTR fading channel is calculated as 1 The regularized Gauss hypergeometric function can be calculated in terms of the standard Gauss hypergeometric function as 2 F1 (a, b; c; z) = 2 F 1 (a, b; c; z) /Γ(c) when c / ∈ {0, −1, −2, . .…”

Channel Fading Models for 5G and 6G

“…The Multicluster Two-Wave (MTW) [32,33] fading model is a natural generalization of Durgin's Two-Wave with Diffuse Power (TWDP) fading model by allowing the incident waves to arrive in different clusters. The MTW generalizes both the TWDP and the κ À μ models under a common umbrella.…”