Some properties of optimal thresholds in decentralized detection

William W. Irving Jr.; John N. Tsitsiklis

doi:10.1117/12.57943

30 April 1992 Some properties of optimal thresholds in decentralized detection

William W. Irving Jr., John N. Tsitsiklis

Proceedings Volume 1611, Sensor Fusion IV: Control Paradigms and Data Structures; (1992) https://doi.org/10.1117/12.57943
Event: Robotics '91, 1991, Boston, MA, United States

Abstract

A decentralized Bayesian hypothesis testing problem is considered. It is analytically demonstrated that for the binary hypothesis problem, when there are two sensors with statistically independent Gaussian-distributed observations (conditioned on the true hypothesis), there is no loss in optimality in using the same decision rule at both sensors. Also, a multiple hypothesis problem is considered; some structure is analytically established for a optimal set of decision rules.

Citation Download Citation

William W. Irving Jr. and John N. Tsitsiklis "Some properties of optimal thresholds in decentralized detection", Proc. SPIE 1611, Sensor Fusion IV: Control Paradigms and Data Structures, (30 April 1992); https://doi.org/10.1117/12.57943

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