Open Access
February 2017 Achieving nonzero information velocity in wireless networks
Srikanth Iyer, Rahul Vaze
Ann. Appl. Probab. 27(1): 48-64 (February 2017). DOI: 10.1214/16-AAP1196


In wireless networks, where each node transmits independently of other nodes in the network (the ALOHA protocol), the expected delay experienced by a packet until it is successfully received at any other node is known to be infinite for the signal-to-interference-plus-noise-ratio (SINR) model with node locations distributed according to a Poisson point process. Consequently, the information velocity, defined as the limit of the ratio of the distance to the destination and the time taken for a packet to successfully reach the destination over multiple hops, is zero, as the distance tends to infinity. A nearest neighbor distance based power control policy is proposed to show that the expected delay required for a packet to be successfully received at the nearest neighbor can be made finite. Moreover, the information velocity is also shown to be nonzero with the proposed power control policy. The condition under which these results hold does not depend on the intensity of the underlying Poisson point process.


Download Citation

Srikanth Iyer. Rahul Vaze. "Achieving nonzero information velocity in wireless networks." Ann. Appl. Probab. 27 (1) 48 - 64, February 2017.


Received: 1 January 2015; Revised: 1 November 2015; Published: February 2017
First available in Project Euclid: 6 March 2017

zbMATH: 1382.68019
MathSciNet: MR3619781
Digital Object Identifier: 10.1214/16-AAP1196

Primary: 60D05
Secondary: 60F15 , 60K30

Keywords: expected delay , information velocity , SINR graphs , wireless networks

Rights: Copyright © 2017 Institute of Mathematical Statistics

Vol.27 • No. 1 • February 2017
Back to Top