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16DetModel - The Detection Model Jeffrey B Burl EE 3180...

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EE 3180 Probability and Random  Signal Analysis,  © 2009 by J. B. Burl The Detection Model Jeffrey B. Burl
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EE 3180 Probability and Random  Signal Analysis,  © 2009 by J. B. Burl Detection Model To quantitatively address the detection  problem, we need a model: Source generates one of a finite set of  possible outputs (hypotheses):  H 0 H 1 , ... Source can be random or deterministic Transition mechanism generates the random  observations for each hypothesis. Source Probabilistic Transition Mechanism Observation Space Decision Rule Decision
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EE 3180 Probability and Random  Signal Analysis,  © 2009 by J. B. Burl Detection Model, Cont. Observation space is a finite ( N dimensional set of observations. Decision rule is a means of converting  the observations into a decision. This is  what we want to design!
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