M.V. Burnashev
Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051 Russia
For citation: Burnashev M.V. On detection of Gaussian stochactic vectors. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, vol. 160, no. 2, pp. 250–257.
Для цитирования: Burnashev M.V. On detection of Gaussian stochactic vectors // Учен. зап. Казан. ун-та. Сер. Физ.-матем. науки. – 2018. – Т. 160, кн. 2. – С. 250–257.
Abstract
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 σ 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 σ0) by a smaller set E0 without quality loss.
Keywords: detection, minimax, reduction
Acknowledgements. The research was supported the Russian Foundation for Basic Research (project no. 15-01-08051).
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Recieved
December 11, 2017
Burnashev Marat Valievich, Doctor of Physics and Mathematics, Leading Researcher
Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Bolshoy Karetny pereulok 19, str. 1, Moscow, 127051 Russia
E-mail: burn@iitp.ru
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