The behavior of unbounded path-loss models and the effect of singularity on computed network interference

Hazer Inaltekin*, Stephen B. Wicker

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

7 Citations (Scopus)

Abstract

In this paper we address the utility of the unbounded path-loss model G1(x) = x in wireless networking research problems. It is known that G1(x) is not valid for small values of x due to the singularity at 0. We compare G1 to a more realistic bounded path-loss model, showing that the effect of the singularity on the total network interference power is significant and cannot be disregarded when the nodes are uniformly distributed over the network domain. In particular, we show that the interference probability density function becomes heavy-tailed under the unbounded path-loss model. However, it decays to zero exponentially fast under the bounded pathloss model. We also prove that a phase transition occurs in the interference behavior at a critical value α* α. For α ≤ α*, as the network size grows to infinity, interference converges (either in probability or in distribution) only if we scale it by an appropriate sequence of constants cn with cn → ∞ as n → ∞. On the other hand, it naturally converges in distribution to a real valued random variable without needing any scaling constants for α > α*. All of our results are invariant under any finite node density λ > 0.

Original languageEnglish
Title of host publication2007 4th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages431-440
Number of pages10
ISBN (Electronic)1424412684
DOIs
Publication statusPublished - 2007
Externally publishedYes
Event2007 4th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, SECON - San Diego, CA, United States
Duration: 18 Jun 200721 Jun 2007

Publication series

Name
ISSN (Print)2155-5486
ISSN (Electronic)2155-5494

Conference

Conference2007 4th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, SECON
CountryUnited States
CitySan Diego, CA
Period18/06/0721/06/07

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