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Journal ArticleDOI

Coverage Probability Analysis in a Device-to-Device Network: Interference Functional and Laplace Transform Based Approach

TLDR
This letter provides an interference functional and Laplace transform based analysis using stochastic geometry to evaluate the expectation over the interference, which is further used to derive the coverage probability expressions for device-to-device (D2D) links.
Abstract
In this letter, we provide an interference functional and Laplace transform based analysis using stochastic geometry to evaluate the expectation over the interference, which is further used to derive the coverage probability expressions for device-to-device (D2D) links. We assume a more practically relevant Nakagami- $ {m}$ fading distribution to model fading between the D2D communication links considering interference from both D2D and cellular links. We also derive a bound on the coverage probability, which simplifies the coverage computations at higher values of the fading parameter. Furthermore, the numerical results corroborate the presented coverage analysis.

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Citations
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Proceedings ArticleDOI

Cooperative NOMA with AF Relaying over Nakagami-m Fading in a D2D Network

TL;DR: This paper presents the performance analysis of a downlink cooperative D2D network with NOMA and amplify-and-forward (AF) relaying with fixed gain and derives closed-form expressions for the outage probability of strong and weak D2 D users with the assumption that there exists a direct communication link between the base station and the D1D users.
Journal ArticleDOI

Coverage Analysis and Optimization for High-Speed Railway Communication Systems With Narrow-Strip-Shaped Cells

TL;DR: Compared to the existing coverage scheme, the proposed BS deployment scheme can improve the coverage performance significantly and match well with the simulation results, which verifies the correctness of the theoretical analysis.
Journal ArticleDOI

SIR Coverage Analysis in Multi-Cell Downlink Systems with Spatially Correlated Queues

TL;DR: The signal-to-interference ratio (SIR) coverage probability of a multi-cell downlink system with random traffic arrivals is analyzed and tools from stochastic geometry and queueing theory are derived to derive the SIR coverage probability in the steady state.
Proceedings ArticleDOI

Outage Probability of Device-to-Device Communication Underlaying Cellular Network over Nakagami/Rayleigh Fading Channels

TL;DR: The purpose of this paper is to derive the expression of D2D link outage probability (OP) for D1D based cellular system by utilizing stochastic geometry and to evaluate the achievement of existing cellular system.
Journal ArticleDOI

Channel Characterization for Devices in a Turbulent Diffusive Environment: A Mobile Molecular Communication Approach

TL;DR: To fully characterize and describe this mobile molecular communication channel, its statistical properties like mean, correlation function, and distribution functions are derived and the performance of the system is analyzed in terms of its symbol error probability and channel capacity.
References
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Book

Stochastic Geometry for Wireless Networks

TL;DR: This rigorous introduction to stochastic geometry will enable you to obtain powerful, general estimates and bounds of wireless network performance and make good design choices for future wireless architectures and protocols that efficiently manage interference effects.
Journal ArticleDOI

Stochastic geometry and random graphs for the analysis and design of wireless networks

TL;DR: This tutorial article surveys some of these techniques based on stochastic geometry and the theory of random geometric graphs, discusses their application to model wireless networks, and presents some of the main results that have appeared in the literature.
Journal ArticleDOI

A Survey on Device-to-Device Communication in Cellular Networks

TL;DR: This paper provides a taxonomy based on the D2D communicating spectrum and review the available literature extensively under the proposed taxonomy to provide new insights into the over-explored and under- Explored areas that lead to identify open research problems of D1D communications in cellular networks.
Journal ArticleDOI

A Survey on Device-to-Device Communication in Cellular Networks

TL;DR: In this article, a taxonomy based on the D2D communicating spectrum and review the available literature extensively under the proposed taxonomy is provided, which provides new insights to the over-explored and underexplored areas which lead to identify open research problems of D2DM communication in cellular networks.
Journal ArticleDOI

On some inequalities for the incomplete gamma function

TL;DR: All real numbers α = α( p) and β = β(p) such that the inequalities formula math.
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