Отрывок: Let’s break { S − 1 2ϕm }2M m=1 on { S − 1 2ϕm }2 m=1 and { S − 1 2ϕm }2M m=3 . None of them is linear independent, as ϕ1 = ϕ2, and M ≥ 3. According to theorem 3, Naimark complements for each of these sets are not comlete in R2M−M = RM . Thus, there is a partition of Naimark complement which contradicts the complement property and does not ensure phaseless recovery. If Parseval-Steklov frame is full spark frame, then phaseless recovery is inherited by Naimark compleme...
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dc.contributor.authorNovikov, S.Ya.-
dc.contributor.authorFedina, M.E.-
dc.date.accessioned2017-05-19 15:15:09-
dc.date.available2017-05-19 15:15:09-
dc.date.issued2017-
dc.identifierDspace\SGAU\20170517\63845ru
dc.identifier.citationNovikov S.Ya. Reconstruction of vector (signal) by the norms of projections / S.Ya. Novikov, M.E. Fedina // Сборник трудов III международной конференции и молодежной школы «Информационные технологии и нанотехнологии» (ИТНТ-2017) - Самара: Новая техника, 2017. - С. 1045-1050.ru
dc.identifier.urihttp://repo.ssau.ru/handle/Informacionnye-tehnologii-i-nanotehnologii/Reconstruction-of-vector-signal-by-the-norms-of-projections-63845-
dc.description.abstractThe foundations of the frame theory in finite-dimensional Euclidean space are represented. The ability of frames in the reconstruction of the vector signal without phase measurements are shown. There is a review of a number of new concepts and their role in the signal reconstruction. The possibility of reconstruction of the vector by the norms of the projections on the subspaces is asserted. Particular attention is paid to systems of subspaces for which there is the possibility of reconstruction by the norms of the projections on them and on their orthogonal complements.ru
dc.language.isoenru
dc.publisherНовая техникаru
dc.subjectframeru
dc.subjectphaseless reconstructionru
dc.subjectcomplement propertyru
dc.subjectfull spark setru
dc.subjectnorm retrievalru
dc.titleReconstruction of vector (signal) by the norms of projectionsru
dc.typeArticleru
dc.textpartLet’s break { S − 1 2ϕm }2M m=1 on { S − 1 2ϕm }2 m=1 and { S − 1 2ϕm }2M m=3 . None of them is linear independent, as ϕ1 = ϕ2, and M ≥ 3. According to theorem 3, Naimark complements for each of these sets are not comlete in R2M−M = RM . Thus, there is a partition of Naimark complement which contradicts the complement property and does not ensure phaseless recovery. If Parseval-Steklov frame is full spark frame, then phaseless recovery is inherited by Naimark compleme...-
Располагается в коллекциях: Информационные технологии и нанотехнологии

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