Stochastic resonance in binary composite hypothesis-testing problems in the Neyman-Pearson framework
Author
Bayram, S.
Gezici, Sinan
Date
2012-02-20Source Title
Digital Signal Processing: A Review Journal
Print ISSN
1051-2004
Publisher
Elsevier
Volume
22
Issue
3
Pages
391 - 406
Language
English
Type
ArticleItem Usage Stats
137
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Abstract
Performance of some suboptimal detectors can be enhanced by adding independent noise to their inputs via the stochastic resonance (SR) effect. In this paper, the effects of SR are studied for binary composite hypothesis-testing problems. A Neyman-Pearson framework is considered, and the maximization of detection performance under a constraint on the maximum probability of false-alarm is studied. The detection performance is quantified in terms of the sum, the minimum, and the maximum of the detection probabilities corresponding to possible parameter values under the alternative hypothesis. Sufficient conditions under which detection performance can or cannot be improved are derived for each case. Also, statistical characterization of optimal additive noise is provided, and the resulting false-alarm probabilities and bounds on detection performance are investigated. In addition, optimization theoretic approaches to obtaining the probability distribution of optimal additive noise are discussed. Finally, a detection example is presented to investigate the theoretical results.
Keywords
Binary hypothesis-testingComposite hypothesis-testing
Least-favorable prior
Neyman-Pearson
Stochastic resonance (SR)
Binary composites
Binary hypothesis-testing
Detection performance
Detection probabilities
Independent noise
Least-favorable prior
Maximum probability
Neyman-Pearson
Parameter values
Statistical characterization
Stochastic resonances
Sufficient conditions
Theoretical result
Additive noise
Detectors
Magnetic resonance
Optimization
Probability distributions
Circuit resonance
Permalink
http://hdl.handle.net/11693/21491Published Version (Please cite this version)
http://dx.doi.org/10.1016/j.dsp.2012.02.003Collections
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