112054
20190316234036.0
ARTICLE
Closing the gap in the capacity of random wireless networks via percolation theory
2007
2007
Journal Articles
An achievable bit rate per source-destination pair in a wireless network of n randomly located nodes is determined adopting the scaling limit approach of statistical physics. It is shown that randomly scattered nodes can achieve, with high probability, the same 1/\sqrt{n} transmission rate of arbitrarily located nodes. This contrasts with previous results suggesting that a 1/\sqrt{nlogn} reduced rate is the price to pay for the randomness due to the random location of the nodes. The network operation strategy to achieve the result corresponds to the transition region between order and disorder of an underlying percolation model. If nodes are allowed to transmit over large distances, then paths of connected nodes that cross the entire network area can be easily found, but these generate excessive interference. If nodes transmit over short distances, then such crossing paths do not exist. Percolation theory ensures that crossing paths form in the transition region between these two extreme scenarios. Nodes along these paths are used as a backbone, relaying data for other nodes, and can transport the total amount of information generated by all the sources. A lower bound on the achievable bit rate is then obtained by performing pairwise coding and decoding at each hop along the paths, and using a time division multiple access scheme.
Wireless networks
ad-hoc networks
capacity
throughput
scaling laws
percolation theory
NCCR-MICS
NCCR-MICS/CL1
Franceschetti, Massimo
Dousse, Olivier
Tse, David N C
240373
Thiran, Patrick
103925
53
3
1009-1018
IEEE Transactions on Information Theory
777985
http://infoscience.epfl.ch/record/112054/files/FDTT07.pdf
n/a
100112
http://infoscience.epfl.ch/record/112054/files/typo_FDTT07.pdf
n/a
252614
LCA
US00024
252454
LCA3
U10431
oai:infoscience.tind.io:112054
IC
article
GLOBAL_SET
LCA-ARTICLE-2007-017
EPFL
REVIEWED
PUBLISHED
ARTICLE