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Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Spring 2008 Seminar Series
Presents
Information-theoretic and physical limits on the
capacity scaling of wireless ad-hoc networks
Massimo Franceschetti
University of California, San Diego
Monday, June 9, 2008 11:00am-12:00pm ESB 1001
Abstract:
By distributing uniformly at random an order of n nodes wishing to establish pair-wise indepen-
dent communications inside a 2D domain of area of the order of n using electromagnetic waves,
the per-node information rate must follow an inverse square-root of n law, as n tends to infinity.
This scaling limit result is computed without postulating fading channel and path loss models,
but applying directly Maxwell's physics of wave propagation in conjunction to Shannon's theory
of information. Indeed, the upper bound is due to a limitation in the spatial degrees of freedom
of the propagating field which can be rigorously proved viza functional analysis. Broad conclu-
sions are drawn from this result on the value of the spatial resource in wireless networks, and a
description of different configurations of networks which can achieve in principle a much higher
(i.e. constant) bit-rate will follow.
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