DocumentCode :
1077737
Title :
One Shot Schemes for Decentralized Quickest Change Detection
Author :
Hadjiliadis, Olympia ; Zhang, Hongzhong ; Poor, H. Vincent
Author_Institution :
Dept. of Math., City Univ. of New York, New York, NY
Volume :
55
Issue :
7
fYear :
2009
fDate :
7/1/2009 12:00:00 AM
Firstpage :
3346
Lastpage :
3359
Abstract :
This work considers the problem of quickest detection with N distributed sensors that receive sequential observations either in discrete or in continuous time from the environment. These sensors employ cumulative sum (CUSUM) strategies and communicate to a central fusion center by one shot schemes. One shot schemes are schemes in which the sensors communicate with the fusion center only once, via which they signal a detection. The communication is clearly asynchronous and the case is considered in which the fusion center employs a minimal strategy, which means that it declares an alarm when the first communication takes place. It is assumed that the observations received at the sensors are independent and that the time points at which the appearance of a signal can take place are different. Both the cases of the same and different signal distributions across sensors are considered. It is shown that there is no loss of performance of one shot schemes as compared to the centralized case in an extended Lorden min-max sense, since the minimum of N CUSUMs is asymptotically optimal as the mean time between false alarms increases without bound. In the case of different signal distributions the optimal threshold parameters are explicitly computed.
Keywords :
distributed sensors; minimax techniques; sensor fusion; central fusion center; cumulative sum strategies; decentralized quickest change detection; distributed sensors; extended Lorden min-max sense; one shot schemes; optimal threshold parameters; signal distributions; Distributed computing; Gunshot detection systems; Helium; Mathematics; Performance loss; Sensor arrays; Sensor fusion; Signal detection; Signal processing; Signal processing algorithms; Cumulative sum (CUSUM); one shot schemes; optimal sensor threshold selection; quickest detection;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2009.2021311
Filename :
5075892
Link To Document :
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