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Composite IG/FTR Channel Performance in Wireless Communication Systems

Maryam Olyaee, Juan M. Romero-Jerez, F. Javier López-Martínez, Andrea J. Goldsmith

TL;DR

It is demonstrated that this new formulation permits to obtain a closed-form expression of the generalized moment generating function (GMGF) of the FTR model, from which the PDF and CDF of the composite IG/FTR model can be obtained in closed- form.

Abstract

We present a composite wireless fading model encompassing multipath fading and shadowing based on fluctuating two-ray (FTR) fading and inverse gamma (IG) shadowing. We first determine an alternative framework for the statistical characterization and performance evaluation of the FTR fading model, which is based on the fact that the FTR fading distribution can be described as an underlying Rician Shadowed (RS) distribution with continuously varying parameter Kr (ratio of specular to diffuse components). We demonstrate that this new formulation permits to obtain a closed-form expression of the generalized moment generating function (GMGF) of the FTR model, from which the PDF and CDF of the composite IG/FTR model can be obtained in closed-form. The exact and asymptotic outage probability of the IG/FTR model are analyzed and verified by Monte Carlo simulations.

Composite IG/FTR Channel Performance in Wireless Communication Systems

TL;DR

It is demonstrated that this new formulation permits to obtain a closed-form expression of the generalized moment generating function (GMGF) of the FTR model, from which the PDF and CDF of the composite IG/FTR model can be obtained in closed- form.

Abstract

We present a composite wireless fading model encompassing multipath fading and shadowing based on fluctuating two-ray (FTR) fading and inverse gamma (IG) shadowing. We first determine an alternative framework for the statistical characterization and performance evaluation of the FTR fading model, which is based on the fact that the FTR fading distribution can be described as an underlying Rician Shadowed (RS) distribution with continuously varying parameter Kr (ratio of specular to diffuse components). We demonstrate that this new formulation permits to obtain a closed-form expression of the generalized moment generating function (GMGF) of the FTR model, from which the PDF and CDF of the composite IG/FTR model can be obtained in closed-form. The exact and asymptotic outage probability of the IG/FTR model are analyzed and verified by Monte Carlo simulations.
Paper Structure (8 sections, 3 theorems, 24 equations, 3 figures)

This paper contains 8 sections, 3 theorems, 24 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Preliminary Definitions
  3. FTR Formulation as a Continuous Mixture of RS Variates
  4. Connection between the FTR and the RS fading models
  5. Generalized MGF
  6. A Composite IG/FTR Fading Model
  7. Numerical results
  8. Conclusion

Key Result

Proposition 1

Let $\gamma \sim \mathcal{FTR}(\overline{\gamma},m,K,\Delta)$, then, its PDF can be computed as

Figures (3)

  • Figure 1: Analysis and Monte-Carlo simulation of the PDF of $\gamma$ under FTR fading obtained using the FTR-RS connection for $m=1.5,3$.
  • Figure 2: Analytical and simulation results for the signal amplitude PDF of composite IG/FTR model with parameters $\bar{\gamma}=1$, $K=4$, $\Delta = 0.2$, and $m = 2$.
  • Figure 3: Analytical, asymptotic and simulation results for the outage probability of composite IG/FTR vs. $\gamma_{th}/\bar{Z}$ with parameters $\bar{\gamma}=1$, $\Delta = 0.3$, and $\lambda = 2$.

Theorems & Definitions (8)

  • Remark 1
  • Proposition 1
  • proof
  • Remark 2
  • Proposition 2
  • proof
  • Lemma 1
  • proof