On the Average Case Communication Complexity for Detection in Sensor Networks
 N. E. Venkatesan,
 Tarun Agarwal,
 P. Vijay Kumar
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Abstract
The problem of sensornetworkbased distributed intrusion detection in the presence of clutter is considered. It is argued that sensing is best regarded as a local phenomenon in that only sensors in the immediate vicinity of an intruder are triggered. In such a setting, lack of knowledge of intruder location gives rise to correlated sensor readings. A signalspace viewpoint is introduced in which the noisefree sensor readings associated to intruder and clutter appear as surfaces \(\mathcal{S_I}\) and \(\mathcal{S_C}\) and the problem reduces to one of determining in distributed fashion, whether the current noisy sensor reading is best classified as intruder or clutter. Two approaches to distributed detection are pursued. In the first, a decision surface separating \(\mathcal{S_I}\) and \(\mathcal{S_C}\) is identified using NeymanPearson criteria. Thereafter, the individual sensor nodes interactively exchange bits to determine whether the sensor readings are on one side or the other of the decision surface. Bounds on the number of bits needed to be exchanged are derived, based on communication complexity (CC) theory. A lower bound derived for the twoparty average case CC of general functions is compared against the performance of a greedy algorithm. The average case CC of the relevant greaterthan (GT) function is characterized within two bits. In the second approach, each sensor node broadcasts a single bit arising from appropriate twolevel quantization of its own sensor reading, keeping in mind the fusion rule to be subsequently applied at a local fusion center. The optimality of a threshold test as a quantization rule is proved under simplifying assumptions. Finally, results from a QualNet simulation of the algorithms are presented that include intruder tracking using a naive polynomialregression algorithm.
 Title
 On the Average Case Communication Complexity for Detection in Sensor Networks
 Book Title
 Distributed Computing in Sensor Systems
 Book Subtitle
 4th IEEE International Conference, DCOSS 2008 Santorini Island, Greece, June 1114, 2008 Proceedings
 Pages
 pp 176189
 Copyright
 2008
 DOI
 10.1007/9783540691709_12
 Print ISBN
 9783540691693
 Online ISBN
 9783540691709
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 5067
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
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 Editors
 Authors

 N. E. Venkatesan ^{(1)}
 Tarun Agarwal ^{(1)}
 P. Vijay Kumar ^{(1)}
 Author Affiliations

 1. Dept. of ECE, Indian Institute of Science, Bangalore, 560012,
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