Title :
Internets in the sky: capacity of 3D wireless networks
Author :
Gupta, Piyush ; Kumar, P.R.
Author_Institution :
Bell Labs., Lucent Technol., Murray Hill, NJ, USA
Abstract :
Consider n nodes located in a sphere of volume V m3, each capable of transmitting at a data rate of W bits/sec. Under a protocol based model for successful receptions, the entire network can carry only Θ(WV1/3n2/3) bit-meters/sec, where 1 bit carried a distance of 1 meter is counted as 1 bit-meter. This is the best possible performance even assuming the node locations, traffic patterns, and the range/power/timing of each transmission, are all optimally chosen. If the node locations and their destinations are randomly chosen, and all transmissions employ the same power/range, then each node only obtains a throughput of Θ(w/(nlog2n)1/3) bits/sec, if the network is optimally operated. Similar results hold under an alternate physical model where a minimum signal-to-interference ratio is specified for successful receptions. The proofs of these results require determination of the VC-dimensions of certain geometric sets, which may be of independent interest
Keywords :
probability; protocols; radio access networks; telecommunication network routing; telecommunication traffic; 3D wireless networks; multiple hop wireless networks; node locations; probability; protocol; signal-to-interference ratio; traffic patterns; Channel capacity; IP networks; Intelligent networks; Noise level; Physical layer; Signal to noise ratio; Throughput; Transport protocols; Upper bound; Wireless networks;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914139
