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Detection of signals with random moments of appearance and disappearance - MaRDI portal

Detection of signals with random moments of appearance and disappearance (Q1114274)

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scientific article; zbMATH DE number 4084790
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English
Detection of signals with random moments of appearance and disappearance
scientific article; zbMATH DE number 4084790

    Statements

    Detection of signals with random moments of appearance and disappearance (English)
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    1988
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    We consider optimal detection of a signal with random moment of appearance and random length. Given the prior probability distributions of the moments of appearance and disappearance, the optimal nonsequential detection algorithm is based on a comparison of the likelihood ratio averaged over the joint distribution of these moments to some threshold. Fast algorithms generating the average likelihood ratio for discrete- and continuous-time observations are proposed. The structure of the optimal Bayesian sequential detection rule is established.
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    optimal signal detection
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    optimal nonsequential detection algorithm
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    Fast algorithms
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    average likelihood ratio
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    optimal Bayesian sequential detection rule
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