Internets in the sky: capacity of 3D wireless networks Conference Paper uri icon


  • Consider n nodes located in a sphere of volume V m 3 , 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 (WV 1/3 n 2/3 ) bit-meters/sec, where 1 bit carried a distance of 1 meter is counted as 1 bit-meter. This is the best possible 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 (W/(n log 2 n) 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.

name of conference

  • Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)

published proceedings

  • Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference

author list (cited authors)

  • Gupta, P., & Kumar, P. R.

citation count

  • 15

complete list of authors

  • Gupta, P||Kumar, PR

publication date

  • January 2000