Reconfigurable Intelligent Surface for Vehicular Communications: Exact Performance Analysis with Phase Noise and Mobility

TL;DR

This paper provides an exact performance analysis of RIS-assisted vehicular communication systems considering phase noise and mobility, using advanced Fox-H function representations for the channel statistics.

Contribution

It introduces a novel exact analysis framework for RIS-assisted vehicular systems accounting for phase noise and mobility effects, with new Fox-H function based channel modeling.

Findings

Derived exact PDF and CDF of channel product using Fox-H functions

Established upper bounds on system performance

Demonstrated the impact of phase noise and mobility on SNR

Abstract

Recent research provides an approximation on the performance for reconfigurable intelligent surface (RIS) assisted systems over generalized fading channels with phase noise resulting from imperfect phase compensation at the RIS. In this paper, we developed exact analysis and upper bounds on the performance of RIS-assisted vehicular communication system considering phase noise with mobility over asymmetric fading channels by coherently combining received signals reflected by RIS elements and direct transmissions from the source terminal. We employ a novel approach to represent the PDF and CDF of the product of four channel coefficients in terms of a single univariate Fox-H function. We use the derived PDF to develop an exact statistical analysis of the end-to-end SNR for the RIS-assisted system using multi-variate Fox-H function.