On detection of Gaussian stochactic vectors
The problem of minimax detection of a Gaussian random signal vector in white Gaussian additive noise has been considered. We suppose that an unknown vector s of the signal vector intensities belongs to the given set E. We have investigated when it is possible to replace the set E (and, in particular...
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Language: | English |
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Kazan Federal University
2018-06-01
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Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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Online Access: | https://kpfu.ru/on-detection-of-gaussian-stochactic-vectors-357191.html |
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author | M.V. Burnashev |
author_facet | M.V. Burnashev |
author_sort | M.V. Burnashev |
collection | DOAJ |
description | The problem of minimax detection of a Gaussian random signal vector in white Gaussian additive noise has been considered. We suppose that an unknown vector s of the signal vector intensities belongs to the given set E. We have investigated when it is possible to replace the set E (and, in particular, by a single point s0) by a smaller set E0 without quality loss. |
format | Article |
id | doaj-art-a48b9e75c11e42f2816d1a84d18a78c5 |
institution | Kabale University |
issn | 2541-7746 2500-2198 |
language | English |
publishDate | 2018-06-01 |
publisher | Kazan Federal University |
record_format | Article |
series | Учёные записки Казанского университета: Серия Физико-математические науки |
spelling | doaj-art-a48b9e75c11e42f2816d1a84d18a78c52025-01-02T13:04:05ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982018-06-011602250257On detection of Gaussian stochactic vectorsM.V. Burnashev0Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051 RussiaThe problem of minimax detection of a Gaussian random signal vector in white Gaussian additive noise has been considered. We suppose that an unknown vector s of the signal vector intensities belongs to the given set E. We have investigated when it is possible to replace the set E (and, in particular, by a single point s0) by a smaller set E0 without quality loss.https://kpfu.ru/on-detection-of-gaussian-stochactic-vectors-357191.htmldetectionminimaxreduction |
spellingShingle | M.V. Burnashev On detection of Gaussian stochactic vectors Учёные записки Казанского университета: Серия Физико-математические науки detection minimax reduction |
title | On detection of Gaussian stochactic vectors |
title_full | On detection of Gaussian stochactic vectors |
title_fullStr | On detection of Gaussian stochactic vectors |
title_full_unstemmed | On detection of Gaussian stochactic vectors |
title_short | On detection of Gaussian stochactic vectors |
title_sort | on detection of gaussian stochactic vectors |
topic | detection minimax reduction |
url | https://kpfu.ru/on-detection-of-gaussian-stochactic-vectors-357191.html |
work_keys_str_mv | AT mvburnashev ondetectionofgaussianstochacticvectors |