Theory of the Stochastic Resonance Effect in Signal Detection: Part I-Fixed Detectors
This paper develops the mathematical framework to analyze the stochastic resonance (SR) effect in binary hypothesis testing problems. The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of det...
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| Veröffentlicht in: | IEEE transactions on signal processing 2007-07, Vol.55 (7), p.3172-3184 |
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| container_title | IEEE transactions on signal processing |
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| creator | Hao Chen Varshney, P.K. Kay, S.M. Michels, J.H. |
| description | This paper develops the mathematical framework to analyze the stochastic resonance (SR) effect in binary hypothesis testing problems. The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of detection P D and the probability of false alarm P FA. Furthermore, sufficient conditions are established to determine the improvability of a fixed detector using SR. The form of the optimal noise pdf is determined and the optimal stochastic resonance noise pdf which renders the maximum P D without increasing P FA is derived. Finally, an illustrative example is presented where performance comparisons are made between detectors where the optimal stochastic resonance noise, as well as Gaussian, uniform, and optimal symmetric noises are applied to enhance detection performance. |
| doi_str_mv | 10.1109/TSP.2007.893757 |
| format | Article |
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The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of detection P D and the probability of false alarm P FA. Furthermore, sufficient conditions are established to determine the improvability of a fixed detector using SR. The form of the optimal noise pdf is determined and the optimal stochastic resonance noise pdf which renders the maximum P D without increasing P FA is derived. 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(IEEE) 2007</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c448t-c7356a73ca97df237ca52d32a9875836843cc7f352cdb583ded0d0e183e2d5333</citedby><cites>FETCH-LOGICAL-c448t-c7356a73ca97df237ca52d32a9875836843cc7f352cdb583ded0d0e183e2d5333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4244681$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4244681$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18877785$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Hao Chen</creatorcontrib><creatorcontrib>Varshney, P.K.</creatorcontrib><creatorcontrib>Kay, S.M.</creatorcontrib><creatorcontrib>Michels, J.H.</creatorcontrib><title>Theory of the Stochastic Resonance Effect in Signal Detection: Part I-Fixed Detectors</title><title>IEEE transactions on signal processing</title><addtitle>TSP</addtitle><description>This paper develops the mathematical framework to analyze the stochastic resonance (SR) effect in binary hypothesis testing problems. The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of detection P D and the probability of false alarm P FA. Furthermore, sufficient conditions are established to determine the improvability of a fixed detector using SR. The form of the optimal noise pdf is determined and the optimal stochastic resonance noise pdf which renders the maximum P D without increasing P FA is derived. 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The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of detection P D and the probability of false alarm P FA. Furthermore, sufficient conditions are established to determine the improvability of a fixed detector using SR. The form of the optimal noise pdf is determined and the optimal stochastic resonance noise pdf which renders the maximum P D without increasing P FA is derived. Finally, an illustrative example is presented where performance comparisons are made between detectors where the optimal stochastic resonance noise, as well as Gaussian, uniform, and optimal symmetric noises are applied to enhance detection performance.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TSP.2007.893757</doi><tpages>13</tpages></addata></record> |
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| ispartof | IEEE transactions on signal processing, 2007-07, Vol.55 (7), p.3172-3184 |
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| subjects | Applied sciences Detection, estimation, filtering, equalization, prediction Detectors Exact sciences and technology Gaussian Gaussian noise Hypothesis testing Information, signal and communications theory Noise Noise level Noise robustness non-Gaussian noise Nonlinear systems Optimization PFA Probability density functions Signal analysis Signal and communications theory Signal detection Signal to noise ratio Signal, noise Stochastic resonance stochastic resonance (SR) Strontium Telecommunications and information theory |
| title | Theory of the Stochastic Resonance Effect in Signal Detection: Part I-Fixed Detectors |
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