Prof. Massimo Franceschetti, University of California, San Diego

Location :

Ecole Normale Supérieure
45 rue d'Ulm
75005 Paris

hours to be announced soon

Abstract :

By distributing uniformly at random an order of n nodes wishing to
establish pair-wise independent 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 via functional analysis.

Broad conclusions are drawn from this result on the value of the  
(limited) spatial resource in wireless networks,
and on some caveats often overlooked in stochastic fading models for  
networks.
Finally, a description of different geometric configurations of networks
which can achieve in principle a much higher (i.e. constant) bit-rate
will follow.

Joint work with Paolo Minero and Marco Donald Migliore.

Host :

François Baccelli