Information Fusion from the Point of View of Communication Theory
Final rept. 15 May 2010-14 May 2013
WISCONSIN UNIV-MADISON DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
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Several aspects of communication theory have been investigated, with the main emphasis on multisensor systems. Among the fundamental results achieved, it has been shown when resolving multiple hypotheses at a desired probability of error, the number of hypotheses to be resolved can be traded off against available signal-to-noise ratio SNR. It has been shown that the number of resolvable hypotheses can grow no faster than the SNR raised to a certain power. The research also showed that the error probability decreases exponentially fast in the number of sensors, and the error exponent was characterized in general and computed for several examples. In another multisensor setting with randomly deployed sensors, it was desired to detect the possible presence of a randomly located signal emitter. This results in a composite hypothesis-testing problem in which the measurements usually are conditionally dependent. However, it has been shown that if the region of interest is circular or a regular convex polygon, then there are simple least-favorable distributions for the emitter location that reduce the composite hypothesis to a simple one and result in the measurements becoming conditionally independent, resulting in a mathematically tractable problem.