TY - GEN

T1 - Multicasting in large random wireless networks

T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009

AU - Jain, Aman

AU - Kulkarni, Sanjeev R.

AU - Verdú, Sergio

PY - 2009/11/19

Y1 - 2009/11/19

N2 - We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a random wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied dense random networks and constant density (extended) random networks. We first establish an information-theoretic lower bound on the minimum energy per bit for multicasting that holds for arbitrary wireless networks when the channel state information is not available at the transmitters. These lower bounds are then evaluated for two cases of random networks. Upper bounds are also obtained by constructing a simple flooding scheme that requires no information at the receivers about the channel states or the locations and identities of the nodes. The gap between the upper and lower bounds is only a constant factor for dense random networks and differs by a poly-logarithmic factor for extended random networks. Furthermore, the proposed upper and lower bounds hold almost surely in the node locations as the number of nodes approaches infinity.

AB - We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a random wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied dense random networks and constant density (extended) random networks. We first establish an information-theoretic lower bound on the minimum energy per bit for multicasting that holds for arbitrary wireless networks when the channel state information is not available at the transmitters. These lower bounds are then evaluated for two cases of random networks. Upper bounds are also obtained by constructing a simple flooding scheme that requires no information at the receivers about the channel states or the locations and identities of the nodes. The gap between the upper and lower bounds is only a constant factor for dense random networks and differs by a poly-logarithmic factor for extended random networks. Furthermore, the proposed upper and lower bounds hold almost surely in the node locations as the number of nodes approaches infinity.

UR - http://www.scopus.com/inward/record.url?scp=70449514593&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449514593&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2009.5205947

DO - 10.1109/ISIT.2009.5205947

M3 - Conference contribution

AN - SCOPUS:70449514593

SN - 9781424443130

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 2627

EP - 2631

BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009

Y2 - 28 June 2009 through 3 July 2009

ER -