Modeling of Non-WSSUS Double-Rayleigh Fading Channels for Vehicular Communications

Abstract

This paper deals with the modeling of nonstationary time-frequency (TF) dispersive multipath fading channels for vehicle-tovehicle (V2V) communication systems. As a main contribution, the paper presents a novel geometry-based statistical channel model that facilitates the analysis of the nonstationarities of V2V fading channels arising at a small-scale level due to the timevarying nature of the propagation delays. This new geometrical channel model has been formulated following the principles of plane wave propagation (PWP) and assuming that the transmitted signal reaches the receiver antenna through double interactions with multiple interfering objects (IOs) randomly located in the propagation area. As a consequence of such interactions, the firstorder statistics of the channel model's envelope are shown to follow a worse-than-Rayleigh distribution; specifically, they follow a double-Rayleigh distribution. General expressions are derived for the envelope and phase distributions, four-dimensional (4D) TF correlation function (TF-CF), and TF-dependent delay and Doppler profiles of the proposed channel model. Such expressions are valid regardless of the underlying geometry of the propagation area. Furthermore, a closed-form solution of the 4D TF-CF is presented for the particular case of the geometrical two-ring scattering model. The obtained results provide new theoretical insights into the correlation and spectral properties of small-scale nonstationary V2V double-Rayleigh fading channels.

Geometry-Based Statistical Modeling of Non-WSSUS Mobile-to-Mobile Rayleigh Fading Channels

“…This framework can also be extended to incorporate the effects of acceleration and non-linear motion trajectories of the mobile stations. Recent advances in that regard can be found in [15] and [22].…”

“…The analysis of the two-rings model is not addressed in this paper, as the double interaction with IOs requires modifications of the modeling framework presented herein. However, the extension has recently been addressed in [15].…”

A Non-WSSUS Mobile-to-Mobile Channel Model Assuming Velocity Variations of the Mobile Stations

“…1 indicate, in that order, the position of the ℓth IO as seen from the initial position of T X , and the initial position of R X as seen from the ℓth IO. Note thatp Following the geometrical channel modeling approach presented in [5], [6], and with reference to Fig. 1, we define the propagation delay τ ℓ (t) and the phases ϑ T ℓ (t) and ϑ…”

On the spectral moments of non-WSSUS mobile-to mobile double-Rayleigh fading channels

“…In this context, a novel geometry-based statistical model (GBSM) for TF selective non-WSSUS M2M double-Rayleigh fading channels was recently presented in [7]. This model was formulated considering a generic non-regular geometrical configuration of the propagation area.…”

“…It provides a flexible framework for the analysis of the channel's non-stationarities caused by the time-varying (TV) propagation delays. A comprehensive analysis of the probability density function (PDF) of the envelope and phase, the four-dimensional (4D) TF correlation function (CF), the TF-dependent power delay profile (PDP), and the TF-dependent Doppler spectrum of this GBSM were investigated in [7]. In this paper, we complete the work of [7], [8] by providing a through mathematical analysis of the spectral moments of such types of GBSMs for non-WSSUS M2M double-Rayleigh fading channels.…”