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The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks
January-March 2003 (vol. 2 no. 1)
pp. 25-39
ASCII Text
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Paolo Santi, Douglas M. Blough, "The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks," IEEE Transactions on Mobile Computing, vol. 2, no. 1, pp. 25-39, January-March, 2003.
 
 
BibTex
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@article{ 10.1109/TMC.2003.1195149,
author = {Paolo Santi and Douglas M. Blough},
title = {The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks},
journal ={IEEE Transactions on Mobile Computing},
volume = {2},
number = {1},
issn = {1536-1233},
year = {2003},
pages = {25-39},
doi = {http://doi.ieeecomputersociety.org/10.1109/TMC.2003.1195149},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Mobile Computing
TI - The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks
IS - 1
SN - 1536-1233
SP25
EP39
EPD - 25-39
A1 - Paolo Santi,
A1 - Douglas M. Blough,
PY - 2003
KW - Wireless ad hoc networks
KW - sparse ad hoc networks
KW - sensor networks
KW - energy consumption
KW - topology control
KW - critical transmitting range.
VL - 2
JA - IEEE Transactions on Mobile Computing
ER -
 

Abstract—In this paper, we analyze the critical transmitting range for connectivity in wireless ad hoc networks. More specifically, we consider the following problem: Assume n nodes, each capable of communicating with nodes within a radius of r, are randomly and uniformly distributed in a d-dimensional region with a side of length l; how large must the transmitting range r be to ensure that the resulting network is connected with high probability? First, we consider this problem for stationary networks, and we provide tight upper and lower bounds on the critical transmitting range for one-dimensional networks and nontight bounds for two and three-dimensional networks. Due to the presence of the geometric parameter l in the model, our results can be applied to dense as well as sparse ad hoc networks, contrary to existing theoretical results that apply only to dense networks. We also investigate several related questions through extensive simulations. First, we evaluate the relationship between the critical transmitting range and the minimum transmitting range that ensures formation of a connected component containing a large fraction (e.g., 90 percent) of the nodes. Then, we consider the mobile version of the problem, in which nodes are allowed to move during a time interval and the value of r ensuring connectedness for a given fraction of the interval must be determined. These results yield insight into how mobility affects connectivity and they also reveal useful trade offs between communication capability and energy consumption.

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Index Terms:
Wireless ad hoc networks, sparse ad hoc networks, sensor networks, energy consumption, topology control, critical transmitting range.
Citation:
Paolo Santi, Douglas M. Blough, "The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks," IEEE Transactions on Mobile Computing, vol. 2, no. 1, pp. 25-39, Jan.-March 2003, doi:10.1109/TMC.2003.1195149
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