A STUDY OF EFFICIENT DECISION RULES FOR UNIFORMLY SCANNING DETECTION SYSTEMS.
Technical rept. no. 6
MASSACHUSETTS INST OF TECH CAMBRIDGE OPERATIONS RESEARCH CENTER
Pagination or Media Count:
A uniformly scanning detection system, such as a radar or sonar, is assumed to be operating in an environment which permits specification of the receiver operating characteristic conditional probability of true indication versus conditional probability of false indication per scan of a resolution element and the utility of false alarm and detection as a function of target position and closure rate. The target interarrival times are assumed to be exponentially distributed random variables, and the target closure rate constant. It is argued that maximizing the expected utility of alarm forms a better criterion for selection of an efficient decision rule than criteria based on the evaluation of the outcome of a decision about presence or absence of a target after a single scan of a resolution element. Numerical results are given for a class of typical radar systems involving square law second detection, post detection integration of received pulses, additive white Gaussian noise, scan to scan fluctuation of the target echo signal, and a utility of detection which increases linearly with warning time. Author