Title :
On the coverage process of a moving target in a dynamic nonstationary sensor field
Author :
Manohar, Pallavi ; Manjunath, D.
Author_Institution :
Dept. of Electr. Eng., IIT Bombay, Mumbai
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, {0, 1}-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.
Keywords :
Boolean functions; Markov processes; wireless sensor networks; continuous time Markov chain; dynamic nonstationary sensor field; k-coverage statistics; nonhomogeneous spatial Poisson process; nonstationary Markov-Boolean model; wireless sensor network; Computational geometry; Fading; Mobile communication; Performance analysis; Scheduling algorithm; Sensor phenomena and characterization; Statistical distributions; Stochastic processes; Target tracking; Wireless sensor networks;
Conference_Titel :
Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008. WiOPT 2008. 6th International Symposium on
Conference_Location :
Berlin
Print_ISBN :
978-963-9799-18-9
Electronic_ISBN :
978-963-9799-18-9
DOI :
10.1109/WIOPT.2008.4586114
