Capacity of Wireless Ad-hoc Networks under Ultra Wide Band with Power Constraint

Zhang, Honghai; Hou, Jennifer C.

Permalink

https://hdl.handle.net/2142/10882 Copy

Description

Title

Capacity of Wireless Ad-hoc Networks under Ultra Wide Band with Power Constraint

Author(s)

• Zhang, Honghai
• Hou, Jennifer C.

Issue Date

2004-07

Keyword(s)

Wireless Networks

Abstract

In this paper, we study how the achievable throughput scales in a wireless network with randomly located nodes as the number of nodes increases, under a communication model where (i) each node has a maximum transmission power W_0 and is capable of utilizing B Hz of bandwidth and (ii) each link can obtain a channel throughput according to the Shannon capacity. Under the limiting case that B tends to infinity, we show that each node can obtain a throughput of \Theta(n^{(\alpha-1)/2}) where n is the density of the nodes and \alpha is the path loss exponent. Both the upper bound and lower bound are derived through percolation theory. In order to derive the capacity bounds, we have also derived an important result on random geometric graphs: if the distance between two points in a Poisson point process with density n is non-diminishing, the minimum power route requires power rate at least \Omega(n^{(1-\alpha)/2}). Our results show that the most promising approach to improving the capacity bound in wireless ad hoc networks is to employ unlimited bandwidth resources, such as UWB.

Type of Resource

text

Permalink

http://hdl.handle.net/2142/10882

Copyright and License Information

You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the University of Illinois at Urbana-Champaign Computer Science Department under terms that include this permission. All other rights are reserved by the author(s).

Owning Collections