Sequential Problems in Decentralized Detection With Communication

Sequential problems in decentralized detection are considered. Peripheral sensors make repeated noisy observations of a binary hypothesis. At each time, a peripheral sensor has to decide whether to stop and send a final binary message to a coordinating sensor/fusion center or to continue taking cost...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 57; no. 8; pp. 5410 - 5435
Main Authors: Nayyar, A., Teneketzis, D.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.08.2011
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied sciences
Communication
Decentralized
Decentralized detection
Detection, estimation, filtering, equalization, prediction
dynamic teams
Exact sciences and technology
Indexes
Information theory
Information, signal and communications theory
Measurement
Messages
Methodology
Noise measurement
Observers
Optimization
Plugs
Policies
Sensor fusion
Sensor phenomena and characterization
Sensors
Services and terminals of telecommunications
Signal and communications theory
Signal, noise
stopping problems
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Telemetry. Remote supervision. Telewarning. Remote control
Time measurement
Transmission and modulation (techniques and equipments)
dynamic teams
Information processing
Sensor fusion
Data fusion
Sensor array
Decentralized detection
stopping problems
Signal detection
Message transmission
Remote sensing
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Description
Summary:Sequential problems in decentralized detection are considered. Peripheral sensors make repeated noisy observations of a binary hypothesis. At each time, a peripheral sensor has to decide whether to stop and send a final binary message to a coordinating sensor/fusion center or to continue taking costly measurements. The coordinating sensor's operation is explored under two different scenarios. In the first scenario, the coordinating sensor waits to receive the final message from each of the peripheral sensors and then starts taking costly measurements of its own. The coordinating sensor is then faced with a stopping problem on whether to stop and declare a decision on the hypothesis or to continue taking measurements. In the second scenario, the coordinating sensor starts taking measurements from the beginning, without waiting for the final messages from the peripheral sensors. At any time, the coordinating sensor has to decide whether to stop and declare a decision on the hypothesis or to continue to take more measurements and wait for the peripheral sensors to send their final message. Parametric characterization of optimal policies for the peripheral and the coordinating sensors are obtained under both scenarios. A sequential methodology for finding the optimal policies is presented.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2011.2158478