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

Fuente: arXiv
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Autores principales: Wani, Rayees Ahmad, Rajagopal, Rajeev, Bhardwaj, Pranay, Amhoud, El Mehdi, Zafaruddin, S. M.
Formato: Preprint
Publicado: 2025
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author Wani, Rayees Ahmad
Rajagopal, Rajeev
Bhardwaj, Pranay
Amhoud, El Mehdi
Zafaruddin, S. M.
author_facet Wani, Rayees Ahmad
Rajagopal, Rajeev
Bhardwaj, Pranay
Amhoud, El Mehdi
Zafaruddin, S. M.
contents 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.
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id arxiv_https___arxiv_org_abs_2502_12871
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exact Sum Distribution of alpha-eta-kappa-mu Fading Channels for Statistical Performance Analysis of RRS-Based Wireless Transmission
Wani, Rayees Ahmad
Rajagopal, Rajeev
Bhardwaj, Pranay
Amhoud, El Mehdi
Zafaruddin, S. M.
Signal Processing
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.
title Exact Sum Distribution of alpha-eta-kappa-mu Fading Channels for Statistical Performance Analysis of RRS-Based Wireless Transmission
topic Signal Processing
url https://arxiv.org/abs/2502.12871