Research Article
On the Coverage Process of a Moving Target in a Dynamic Nonstationary Sensor Field
@INPROCEEDINGS{10.4108/ICST.WIOPT2008.3139, author={Pallavi Manohar and D. Manjunath}, title={On the Coverage Process of a Moving Target in a Dynamic Nonstationary Sensor Field}, proceedings={4th Workshop on Spatial Stochastic Models for Wireless Networks}, publisher={IEEE}, proceedings_a={SPASWIN}, year={2008}, month={8}, keywords={Computational geometry Fading Mobile communication Performance analysis Scheduling algorithm Sensor phenomena and characterization Statistical distributions Stochastic processes Target tracking Wireless sensor networks}, doi={10.4108/ICST.WIOPT2008.3139} }- Pallavi Manohar
D. Manjunath
Year: 2008
On the Coverage Process of a Moving Target in a Dynamic Nonstationary Sensor Field
SPASWIN
IEEE
DOI: 10.4108/ICST.WIOPT2008.3139
Abstract
We analyze the statistical properties of the k- coverage of a point-target moving in a straight line in a dynamic, nonstationary sensor field. The availability of each node is modeled by an independent, f0; 1g-valued continuous time Markov chain. Sensor locations form a nonhomogeneous spatial Poisson process. The sensing areas of the sensors are circles of i.i.d. radii. We first describe the induced nonstationary Markov- Boolean model and obtain k-coverage of the target at an arbitrary time instant. We then obtain k-coverage statistics for the time interval [0; T]: A pointwise stationary approximation that yields a limit theorem is also discussed. Numerical results illustrate the analysis.
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