Result: A Novel Stochastic Model for IRS-Assisted Communication Systems Based on the Sum-Product of Nakagami-m Random Variables

Title:
A Novel Stochastic Model for IRS-Assisted Communication Systems Based on the Sum-Product of Nakagami-m Random Variables
Authors:
Hamid Amiriara, Mahtab Mirmohseni, Farid Ashtiani, Masoumeh Nasiri-Kenari, Behrouz Maham
Source:
IEEE Open Journal of the Communications Society, Vol 5, Pp 5921-5932 (2024)
Publication Status:
Preprint
Publisher Information:
Institute of Electrical and Electronics Engineers (IEEE), 2024.
Publication Year:
2024
Subject Terms:
Signal Processing (eess.SP), FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), outage probability (OP), TK5101-6720, Nakagami-m distribution, average symbol error rates (ASER), Telecommunication, FOS: Electrical engineering, electronic engineering, information engineering, moment generating function (MGF), Electrical Engineering and Systems Science - Signal Processing, Intelligent reflecting surfaces (IRS), Transportation and communications, HE1-9990
Document Type:
Academic journal Article
ISSN:
2644-125X
DOI:
10.1109/ojcoms.2024.3403850
DOI:
10.48550/arxiv.2401.06268
Access URL:
http://arxiv.org/abs/2401.06268
https://doaj.org/article/72179cc2cb644d9cb894539834c95960
Rights:
CC BY NC ND
Accession Number:
edsair.doi.dedup.....15fb35efb7125b1204d88a4e3fae31de
Database:
OpenAIRE

Further Information

This paper presents exact formulas for the probability distribution function (PDF) and moment generating function (MGF) of the sum-product of statistically independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$ random variables (RVs) in terms of Meijer's G-function. Additionally, exact series representations are also derived for the sum of double-Nakagami RVs, providing useful insights on the trade-off between accuracy and computational cost. Simple asymptotic analytical expressions are provided to gain further insight into the derived formula, and the achievable diversity order is obtained. The suggested statistical properties are proved to be a highly useful tool for modeling parallel cascaded Nakagami-$m$ fading channels. The application of these new results is illustrated by deriving exact expressions and simple tight upper bounds for the outage probability (OP) and average symbol error rate (ASER) of several binary and multilevel modulation signals in intelligent reflecting surfaces (IRSs)-assisted communication systems operating over Nakagami-$m$ fading channels. It is demonstrated that the new asymptotic expression is highly accurate and can be extended to encompass a wider range of scenarios. To validate the theoretical frameworks and formulations, Monte-Carlo simulation results are presented. Additionally, supplementary simulations are provided to compare the derived results with two common types of approximations available in the literature, namely the central limit theorem (CLT) and gamma distribution.
11 pages