Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Parallel Computing - Special issue: Parallel computing in numerical optimization
Wireless Sensor Networks: An Information Processing Approach
Wireless Sensor Networks: An Information Processing Approach
Scientific Parallel Computing
D-optimal design of a monitoring network for parameter estimation of distributed systems
Journal of Global Optimization
Detection and localization of vapor-emitting sources
IEEE Transactions on Signal Processing
Localizing vapor-emitting sources by moving sensors
IEEE Transactions on Signal Processing
Landmine detection and localization using chemical sensor arrayprocessing
IEEE Transactions on Signal Processing
SIAM Journal on Scientific Computing
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The paper deals with the problem of optimal path planning for a sensor network with mutliple mobile nodes, whose measurements are supposed to be primarily used to estimate unknown parameters of a system modelled by a partial differential equation. The adopted framework permits to consider two-or three-dimensional spatial domains and correlated observations. Since the aim is to maximize the accuracy of the estimates, a general functional defined on the relevant Fisher information matrix is used as the design criterion. Central to the approach is the parameterization of the sensor trajectories based on cubic B-splines. The resulting finite-dimensional global optimization problem is then solved using a parallel version of the tunneling algorithm. A numerical example is included to clearly demonstrate the idea presented in the paper.