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

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Title: Capacity of Wireless Ad-hoc Networks under Ultra Wide Band with Power Constraint
Author(s): Zhang, Honghai; Hou, Jennifer C.
Subject(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.
Issue Date: 2004-07
Genre: Technical Report
Type: Text
URI: http://hdl.handle.net/2142/10882
Other Identifier(s): UIUCDCS-R-2004-2453
Rights 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).
Date Available in IDEALS: 2009-04-16
 

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