Exact Sum Distribution of alpha-eta-kappa-mu Fading Channels for Statistical Performance Analysis of RRS-Based Wireless Transmission

TL;DR

This paper provides an exact statistical analysis of RRS-based wireless transmission considering complex fading models, enabling precise performance evaluation for near-field and far-field users.

Contribution

It introduces a novel exact analysis method for RRS channels under alpha-eta-kappa-mu fading, avoiding infinite series approximations for better tractability.

Findings

Derived exact outage probability and BER for RRS systems.

Validated analysis with computer simulations over generalized fading models.

Established the system's diversity order at high SNR.

Abstract

Reconfigurable refractive surface (RRS) is an efficient alternative to holographic multiple input multiple outputs (HMIMO) systems that can serve as a transmission unit operating in the signal refraction mode. RRS transmissions experience near-field propagation due to the proximity of the transmission feed and far-field propagation for the user located farther from the transmitting unit. There is limited research on the effect of channel fading on far-field users in RRS-based transmissions. In this paper, we conduct an exact statistical analysis of RRS-based transmission considering alpha-eta-kappa-mu fading model for the far-field user and the near-field effect of transmission feed. First, we show the exact statistical analysis for the RRS transmission over alpha-eta-kappa-mu fading model consisting of multiple infinite-series representations with multivariate Fox-H function. Next, we develop a novel approach to derive the density and distribution functions for the resultant fading channel of the RRS system in terms of multivariate Fox-H functions without involving infinite series approximations for tractable performance analysis. We present the exact outage probability and average bit-error-rate (BER) performance of single-element and multiple-element RRS systems to validate the proposed analysis further. We also obtain the diversity order of the system by analyzing the outage probability at a high signal-to-noise ratio (SNR). Computer simulations demonstrate the relevance of the developed statistical results for RRS-based wireless systems over the generalized fading model for a comprehensive performance evaluation.