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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Main Author: M.V. Burnashev
Format: Article
Language:English
Published: Kazan Federal University 2018-06-01
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
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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