DocumentCode :
105506
Title :
Network Connectivity in Non-Convex Domains With Reflections
Author :
Georgiou, Orestis ; Bocus, Mohammud Z. ; Rahman, Mohammed R. ; Dettmann, Carl P. ; Coon, Justin P.
Author_Institution :
Toshiba Telecommun. Res. Lab., Bristol, UK
Volume :
19
Issue :
3
fYear :
2015
fDate :
Mar-15
Firstpage :
427
Lastpage :
430
Abstract :
Recent research has demonstrated the importance of boundary effects on the overall connection probability of wireless networks but has largely focused on convex deployment regions. We consider here a scenario of practical importance to wireless communications, in which one or more nodes are located outside the convex space where the remaining nodes reside. We call these “external nodes” and assume that they play some essential role in the macro network functionality e.g. a gateway to a dense self-contained mesh network cloud. Conventional approaches with the underlying assumption of only line-of-sight (LOS) or direct connections between nodes fail to provide the correct analysis for such a network setup. To this end we present a novel analytical framework that accommodates for the non-convexity of the domain and explicitly considers the effects of non-LOS nodes through reflections from the domain boundaries. We obtain analytical expressions in 2D and 3D which are confirmed numerically for Rician channel fading statistics and discuss possible extensions and applications.
Keywords :
Rician channels; probability; radiocommunication; telecommunication network reliability; wireless mesh networks; LOS; Rician channel fading statistics; boundary effects; connection probability; convex deployment regions; line-of-sight; macro network functionality; mesh network cloud; network connectivity; nonconvex domains; wireless communications; wireless networks; Approximation methods; Fading; Geometry; Mesh networks; Wireless communication; Wireless sensor networks; Connectivity; Outage; Reflections; Rician fading; outage; reflections; rician fading;
fLanguage :
English
Journal_Title :
Communications Letters, IEEE
Publisher :
ieee
ISSN :
1089-7798
Type :
jour
DOI :
10.1109/LCOMM.2014.2385089
Filename :
6994813
Link To Document :
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