Noise-enhanced M-ary hypothesis-testing in the minimax framework
Date
2009-09
Authors
Bayram, Suat
Gezici, Sinan
Advisor
Instructor
Source Title
3rd International Conference on Signal Processing and Communication Systems, ICSPCS'2009 - Proceedings
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
1 - 6
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract
In this study, the effects of adding independent noise to observations of a suboptimal detector are studied for M-ary hypothesis-testing problems according to the minimax criterion. It is shown that the optimal additional noise can be represented by a randomization of at most M signal values under certain conditions. In addition, a convex relaxation approach is proposed to obtain an accurate approximation to the noise probability distribution in polynomial time. Furthermore, sufficient conditions are presented to determine when additional noise can or cannot improve the performance of a given detector. Finally, a numerical example is presented. © 2009 IEEE.
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Keywords
Detection, Hypothesis-testing, Minimax, Noise-enhanced detection, Stochastic resonance, Convex relaxation, Independent noise, Minimax, Minimax criterion, Noise-enhanced detection, Numerical example, Polynomial-time, Signal value, Stochastic resonances, Sufficient conditions, Circuit resonance, Communication systems, Detectors, Magnetic resonance, Polynomial approximation, Probability distributions, Relaxation processes, Signal processing, Stochastic systems, Signal detection