Novel Methods for Generating Fox's $H$-Function Distributed Random Variables With Applications

Aborahama, Yousuf; Ismail, Mahmoud H.; Hassan, Mohamed S.

doi:10.1109/tvt.2019.2916385

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…4 The Fox's H-function distributed fading model is though widely studied in open literature as a general and unified model due to its flexibility of encompassing plenty of fading models, the implementation of generating of a Fox's H-function distributed random variable is found in [36]. 5 1 N denotes the N -dimensional all-one vector.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Channel Modeling and Analysis of Reconfigurable Intelligent Surfaces Assisted Vehicular Networks

Kong

et al. 2021

2021 IEEE International Conference on Communications Workshops (ICC Workshops)

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The new concept named reconfigurable intelligent surfaces (RIS) is becoming an appealing enabler due to its uniqueness with having low hardware complexity and low power consumption advantages simultaneously. In this paper, an RISaided vehicular Adhoc network (VANET) is considered, where the beacon vehicle is enabled with a passive RIS, the communication links between the beacon vehicle and client vehicle caused due to the multipath fading effects, are modeled with Fox's H-function distribution. This paper first models the inter-vehicle links for the given system setup and then investigates the outage probability and effective rate as performance metrics. More specifically, the unsupervised expectation-maximization (EM) algorithm is consequently used to characterize the distribution of the received signal-to-noise ratio (SNR) at the client vehicle, which is modeled as the mixture of Gaussian (MoG) distribution. The accuracy of our approach is further validated with the Kolmogorov-Smirnov (KS) goodness of fit test. The MoG-based approach successfully tackles the RIS-enabled inter-vehicle communication with an easy, accurate, and tractable solution compared to the widely used central limit theorem (CLT) method. It leads to the closedform outage probability and effective rate expressions.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Channel Modeling and Analysis of Reconfigurable Intelligent Surfaces Assisted Vehicular Networks

Kong

et al. 2021

2021 IEEE International Conference on Communications Workshops (ICC Workshops)

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“…A plot of PDF and CDF curves of γ based on ( 10) and ( 8) under moderate turbulence are displayed on Figs 2 and 3, where we have employed the MATLAB code proposed by [45] to generate 10 7 ΓΓ random variables for each curve. In Table II at the top of the next page, the behaviour of the CDF in Eq.…”

Section: ) Cdf and Pdf Of End-to-end Snrmentioning

confidence: 99%

“…In this section, we investigate and verify the validity of the analytical formulae derived in the preceding sections through Monte Carlo simulations. For all curves employing Monte Carlo simulations, 10 7 random ΓΓ variables are generated using the MATLAB code from [45]. (Note that the meijer G-function of each PDF must be written in the form G m,0 n,m (•) or the code will not work.)…”

Section: Numerical Experiments and Simulationsmentioning

confidence: 99%

Applications of Meijer’s Factorization Theorems in Performance Analyses of All-Optical Multi-Hop FSO Systems

Rasethuntsa

Ansari

2021

IEEE Trans. Wireless Commun.

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“…The model encompasses the various other typical models of vehicular and D2D propagation scenarios such as Rayleigh, Nakagami-m, Fisher-F (at 5.8 GHz for D2D application), Weibull etc. [3], [4], [5].…”

Section: Introductionmentioning

confidence: 99%

An Asymptotic Framework for Fox's H-Fading Channel With Application to Diversity-Combining Receivers

Chauhan

Kumar

Jain

et al. 2023

IEEE Open J. Veh. Technol.

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Unified statistics are valuable in the performance analysis of communication systems. In this context, Fox's Hfunction has been shown to be eminently suitable for diverse scenarios. Another pivotal requirement is to have a low computational complexity, which is often hard to achieve for generalized models. Given this motivation, in this article we have presented high-power, low-complexity solutions for the outage probability (OP) and the average symbol error probability (SEP). Additionally, diversity techniques are harnessed for mitigating the effect of fading, which are then analysed based on the results derived. The entire methodology is governed by the origin probability density function rather than approximating the performance metrics under high-power. All the presented mathematical expressions are compared and validated through computer simulations (Monte-Carlo) to verify the accuracy of the proposed framework.

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Novel Methods for Generating Fox's $H$-Function Distributed Random Variables With Applications

Cited by 7 publications

References 8 publications

Channel Modeling and Analysis of Reconfigurable Intelligent Surfaces Assisted Vehicular Networks

Channel Modeling and Analysis of Reconfigurable Intelligent Surfaces Assisted Vehicular Networks

Applications of Meijer’s Factorization Theorems in Performance Analyses of All-Optical Multi-Hop FSO Systems

An Asymptotic Framework for Fox's H-Fading Channel With Application to Diversity-Combining Receivers

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