Effects of additional independent noise in binary composite hypothesis-testing problems

Date
2009-09
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Source Title
3rd International Conference on Signal Processing and Communication Systems, ICSPCS'2009 - Proceedings
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Electronic ISSN
Publisher
IEEE
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Pages
1 - 9
Language
English
Type
Conference Paper
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Abstract

Performance of some suboptimal detectors can be improved by adding independent noise to their observations. In this paper, the effects of adding independent noise to observations of a detector are investigated for binary composite hypothesistesting problems in a generalized Neyman-Pearson framework. Sufficient conditions are derived to determine when performance of a detector can or cannot be improved via additional independent noise. Also, upper and lower limits are derived on the performance of a detector in the presence of additional noise, and statistical characterization of optimal additional noise is provided. In addition, two optimization techniques are proposed to calculate the optimal additional noise. Finally, simulation results are presented to investigate the theoretical results. © 2009 IEEE.

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Keywords
Binary hypothesis-testing, Composite hypothesis-testing, Neyman-pearson, Stochastic resonance, Binary composites, Binary hypothesis-testing, Composite hypothesis, Composite hypothesis-testing, Generalized neyman-pearson, Independent noise, Lower limits, Optimization techniques, Simulation result, Statistical characterization, Stochastic resonances, Sufficient conditions, Theoretical result, Circuit resonance, Communication systems, Magnetic resonance, Optimization, Signal processing, Stochastic systems, Detectors
Citation
Published Version (Please cite this version)