Crystallization in large wireless networks

—We analyze fading interference relay networks where M single-antenna source-destination terminal pairs communicate concurrently and in the same frequency band through a set of K single-antenna relays using half-duplex two-hop relaying. Assuming that the relays have channel state information (CSI), it is shown that in the large-M limit, provided K grows fast enough as a function of M, the network “decouples” in the sense that the individual source-destination terminal pair capacities are strictly positive. The corresponding required rate of growth of K as a function of M is found to be sufficient to also make the individual source-destination fading links converge to nonfading links. We say that the network “crystallizes” as it breaks up into a set of effectively isolated “wires in the air”. A large-deviations analysis is performed to characterize the “crystallization” rate, i.e., the rate (as a function of M, K) at which the decoupled links converge to nonfading lin...

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Veniamin I. Morgenshtern, Helmut Bölcskei
• Keywords: CORR 2007, Education, Relay, Source-destination Terminal, Source-destination Terminal Pair