Network connectivity through small openings
Conference: ISWCS 2013 - The Tenth International Symposium on Wireless Communication Systems
08/27/2013 - 08/30/2013 at Ilmenau, Deutschland
Proceedings: ISWCS 2013
Pages: 5Language: englishTyp: PDF
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Authors:
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)
Abstract:
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.