The Detection of Randomly Occurring Events with Random Durations

The report considers the detection of events whose occurrence times and durations are random variables. In this context, two special cases are considered: The continuous-action detectors that seek to respond at each time when an event is present; The discrete-action detectors that seek to respond at...

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Bibliographic Details
Main Author: Heitmeyer,Richard M
Format: Report
Language:English
Subjects:
Acoustic Detection and Detectors
Active & Passive Radar Detection & Equipment
ASYMPTOTIC SERIES
BAYESIAN ANALYSIS
Cybernetics
DECISION THEORY
DETECTION
DETECTION THEORY
DIGITAL COMMUNICATION SYSTEMS
INFORMATION THEORY
MARKOV CHAINS
OPTIMIZATION
PULSE COMMUNICATIONS
RADAR SIGNALS
SEQUENCES
SET THEORY
SIGNAL PROCESSING
SONAR SIGNALS
STATISTICAL ANALYSIS
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Summary:The report considers the detection of events whose occurrence times and durations are random variables. In this context, two special cases are considered: The continuous-action detectors that seek to respond at each time when an event is present; The discrete-action detectors that seek to respond at only a single time during which each event is present. For both cases, the optimum detectors are specified in terms of recursion relations and examples of the numerical solutions of these relations are presented and compared. (Author)