Mathematics – Optimization and Control
Scientific paper
2009-02-14
Mathematics
Optimization and Control
16 pages, 4 figures. Accepted. v1-current: corrected typos, added clarifications, updated and added references, extended intro
Scientific paper
This paper considers a special case of the problem of identifying a static scalar signal, depending on the location, using a planar network of sensors in a distributed fashion. Motivated by the application to monitoring wild-fires spreading and pollutants dispersion, we assume the signal to be Gaussian in space. Using a network of sensors positioned to form a regular hexagonal tessellation, we prove that each node can estimate the parameters of the Gaussian from local measurements. Moreover, we study the sensitivity of these estimates to additive errors affecting the measurements. Finally, we show how a consensus algorithm can be designed to fuse the local estimates into a shared global estimate, effectively compensating the measurement errors.
Frasca Paolo
Mason Paolo
Piccoli Benedetto
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