RIS-Assisted 6G Wireless Communications: A Novel Statistical Framework in the Presence of Direct Channel

TL;DR

This paper develops a new statistical framework for RIS-assisted 6G wireless systems with a direct channel, deriving novel channel distribution expressions and analyzing the impact of system parameters on channel randomness.

Contribution

It introduces a comprehensive statistical model for RIS-assisted 6G channels considering direct paths, with new analytical expressions for channel distributions and validation through simulations.

Findings

Derived novel PDFs for channel magnitude and phase.

Analyzed the impact of RIS elements and channel parameters.

Validated the model with Monte Carlo simulations.

Abstract

A RIS-assisted wireless communication system in the presence of a direct communication path between the transceiver pair is considered in this paper. The transmitter-RIS and the RIS-receiver channels follow independent Nakagami-m distributions, and the direct channel between the transceiver pair follows a Rayleigh distribution. Considering this system model, the statistics of the composite channel for the RIS-assisted communication system are derived in terms of obtaining novel expressions for the probability density functions for the magnitude and the phase of the communication channel. The correctness of the analytical framework is verified via Monte Carlo simulations, and the effects of the shape parameters of the channels and the number of reflecting elements in the RIS on the randomness of the composite channel are studied via numerical results.