On the Simulation and Correlation Properties of TWDP Fading Process

TL;DR

This paper presents a new statistical simulator for TWDP fading channels, enabling detailed analysis of correlation properties and validated through extensive simulations, advancing understanding of complex wireless propagation models.

Contribution

A novel simulator for TWDP fading channels is introduced, deriving and validating correlation functions for the first time in literature.

Findings

Accurate autocorrelation and cross-correlation functions derived for TWDP channels

Simulator closely matches theoretical statistical properties

Provides a new tool for analyzing TWDP fading in wireless communications

Abstract

This paper introduces a novel statistical simulator designed to model propagation in two-way diffuse power (TWDP) fading channels. The simulator employs two zero-mean stochastic sinusoids to simulate specular components, while a sum of sinusoids is used to model the diffuse one. Using the developed simulator, the autocorrelation and cross-correlation functions of the quadrature components, as well as the autocorrelation of the complex and squared envelope, are derived for the first time in literature for channels experiencing TWDP fading. The statistical properties of the proposed simulator are thoroughly validated through extensive simulations, which closely align with the theoretical results.