Model-based solution techniques for the source localization problem

This paper studies the problem of using point sensor measurements to locate a point source in a class of distributed systems described by partial differential equations (PDEs). Assuming that a priori knowledge of system dynamics is available, three model-based approaches are developed for this probl...

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Bibliographic Details
Main Authors: Alpay, M.E., Shor, M.H.
Format: Conference Proceeding
Language:English
Subjects:
Acoustic sensors
Acoustic waves
Algorithm design and analysis
Electric variables measurement
Inverse problems
Mathematical model
Position measurement
Sensor phenomena and characterization
Sensor systems
Signal processing
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Summary:This paper studies the problem of using point sensor measurements to locate a point source in a class of distributed systems described by partial differential equations (PDEs). Assuming that a priori knowledge of system dynamics is available, three model-based approaches are developed for this problem: off-line numerical computation of the time-response data at the sensor(s) resulting from each possible source location and function of source strength; spatial and time discretization of the PDE model; and off-line solution of a dual (forward) PDE problem based on the dual system model. In each case, a particular algorithm is presented, and an analysis of appropriate sensor placements and the minimal number of sensors required is given. In all three approaches, a minimal amount of online processing is required. The relative advantages and shortcomings of the three approaches are discussed and are demonstrated by applying them to the two-dimensional heat conduction problem.
ISSN:0191-2216
DOI:10.1109/CDC.1998.760787