Network connectivity through small openings
Konferenz: ISWCS 2013 - The Tenth International Symposium on Wireless Communication Systems
27.08.2013 - 30.08.2013 in Ilmenau, Deutschland
Tagungsband: ISWCS 2013
Seiten: 5Sprache: EnglischTyp: PDF
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Autoren:
Georgiou, Orestis; Coon, Justin P. (Toshiba Telecommunications Research Laboratory, 32 Queens Square, Bristol, BS1 4ND, UK )
Dettmann, Carl P. (School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK)
Inhalt:
Network connectivity is usually addressed for convex domains where a direct line of sight exists between any two transmitting/ receiving nodes. Here, we develop a general theory for the network connectivity properties across a small opening, rendering the domain essentially non-convex. Our analytic approach can go only so far as we encounter what is referred to in statistical physics as quenched disorder making the problem non-trivial. We confirm our theory through computer simulations, obtain leading order approximations and discuss possible extensions and applications.