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2. Quality of Service in Wireless Cellular Networks Subject to Log-Normal Shadowing

Author

Bartlomiej Blaszczyszyn, M. K. Karray, Theory of networks and communications (TREC), Département d'informatique - ENS Paris (DI-ENS), Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria), Orange Labs [Issy les Moulineaux], France Télécom, This paper reports the results of the research undertaken under 2010 contract number CRE~46146063-A012 between INRIA and France Telecom., Département d'informatique de l'École normale supérieure (DI-ENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Inria Paris-Rocquencourt, École normale supérieure - Paris (ENS-PSL), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL)

Subjects
FOS: Computer and information sciences, Engineering, geometry, 02 engineering and technology, Interference (wave propagation), Blocking (statistics), interference factor, path-loss, Computer Science - Networking and Internet Architecture, Base station, [INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI], honeycomb, 0203 mechanical engineering, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Path loss, stochastic resonance, Electrical and Electronic Engineering, indoor, Networking and Internet Architecture (cs.NI), business.industry, Probability (math.PR), 020302 automobile design & engineering, 020206 networking & telecommunications, Poisson, Erlang (unit), [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Handover, blocking probability, Cellular network, Wireless cellular networks, shadowing, Log-distance path loss model, business, Mathematics - Probability, Computer network
Abstract

International audience; Shadowing is believed to degrade the quality of service (QoS) in wireless cellular networks. Assuming log-normal shadowing, and studying mobile's path-loss with respect to the serving base station (BS) and the corresponding interference factor (the ratio of the sum of the path-gains form interfering BS's to the path-gain from the serving BS), which are two key ingredients of the analysis and design of the cellular networks, we discovered a more subtle reality. We observe, as commonly expected, that a strong variance of the shadowing increases the mean path-loss with respect to the serving BS, which in consequence, may compromise QoS. However, in some cases, an increase of the variance of the shadowing can significantly reduce the mean interference factor and, in consequence, improve some QoS metrics in interference limited systems, provided the handover policy selects the BS with the smallest path loss as the serving one. We exemplify this phenomenon, similar to stochastic resonance and related to the ''single big jump principle'' of the heavy-tailed log-nornal distribution, studying the blocking probability in regular, hexagonal networks in a semi-analytic manner, using a spatial version of the Erlang's loss formula combined with Kaufman-Roberts algorithm. More detailed probabilistic analysis explains that increasing variance of the log-normal shadowing amplifies the ratio between the strongest signal and all other signals thus reducing the interference. The above observations might shed new light, in particular on the design of indoor communication scenarios.

Published
2012
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