Spatial Outage Probability for Cellular Networks

GLOBECOM 2017 - 2017 IEEE Global Communications Conference

Gorce

Gati

2017

Self Cite

Abstract-In this paper, we develop a powerful analytical model of wireless network with Superposition Coding (SC), also referred to as Non Orthogonal Multiple Access (NOMA). This model allows to establish a closed form expression of the minimum power a base station (BS) need to transmit, for a user to achieve a given SINR (signal to interference plus noise ratio) whatever its location in the area covered by the base station. It moreover allows to establish a closed form expression of the minimum total transmit power of a base station. These closed form expressions allow to establish performance of wireless networks, by minimizing the base stations transmit powers. As an application, we show that these closed form expressions allow to quantify the energetic performance, spectral efficiency, total throughput and the coverage of a BS, in a simple and quick way.

Section: Wireless Network Analytical Modelmentioning

confidence: 99%

Performance and Energy in Green Superposition Coding Wireless Networks: An Analytical Model

GLOBECOM 2017 - 2017 IEEE Global Communications Conference

Gorce

Gati

2017

Self Cite

“…This means that the transmitting power is now considered as a continuum field all over the network. In this context, the network is characterised by a MS density ρ MS and a base station density ρ BS [6] [8]. We assume that MS and BS are uniformly distributed in the network, so that ρ MS and ρ BS are constant.…”

Section: A Ocif Formulamentioning

confidence: 99%

On the Impact of Mobility on Outage Probability in Cellular Networks

2009 IEEE Wireless Communications and Networking Conference

Coupechoux

2009

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Abstract-In this paper, we develop an analytical study of the mobility in cellular networks and its impact on quality of service and outage probability. We first express analytically the downlink other-cell interference factor f by using a fluid model network. It is defined here as the ratio of outer cell received power to the inner cell received power. It allows us to analyze users mobility and to derive expressions of the outage probability. We show that mobility can modify the capacity of a cell and we quantify the outage probability variations. We moreover establish how mobility plays a role in quality of service management. All results are compared to Monte Carlo simulations performed in a traditional hexagonal network.

“…In this section, we thus express the parameters m f , s f , ν s and l s as functions dependent only on the distance r using the fluid model. The fluid model approach has been developed, e.g., in [17]. It consists in replacing on the downlink a given fixed finite number of transmitters (base stations) by an equivalent continuum of transmitters which are distributed according to some distribution function.…”

Section: Analytical Fluid Modelmentioning

confidence: 99%

“…Assuming an infinite network, the fluid model allows us to approximate g by the following function [17] (see Appendix 2 for more details). Introducing the dependence of g on r, we obtain:…”

Section: Analytical Fluid Modelmentioning

confidence: 99%

SIR distribution analysis in cellular networks considering the joint impact of path-loss, shadowing and fast fading

Cheikh

Coupechoux

et al. 2011

J Wireless Com Network

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In this paper, we propose an analysis of the joint impact of path-loss, shadowing and fast fading on cellular networks. Two analytical methods are developed to express the outage probability. The first one based on the Fenton-Wilkinson approach, approximates a sum of log-normal random variables by a log-normal random variable and approximates fast fading coefficients in interference terms by their average value. We denote it FWBM for Fenton-Wilkinson based method. The second one is based on the central limit theorem for causal functions. It allows to approximate a sum of positive random variables by a Gamma distribution. We denote it CLCFM for central limit theorem for causal functions method. Each method allows to establish a simple and easily computable outage probability formula, which jointly takes into account path-loss, shadowing and fast fading. We compute the outage probability, for mobile stations located at any distance from their serving BS, by using a fluid model network that considers the cellular network as a continuum of BS. We validate our approach by comparing all results to extensive Monte Carlo simulations performed in a traditional hexagonal network and we provide the limits of the two methods in terms of system parameters. The proposed framework is a powerful tool to study performances of cellular networks, e.g., OFDMA systems (WiMAX, LTE).