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On Detection of Gaussian Stochastic Sequences

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We consider the minimax detection problem for a Gaussian random signal vector in white Gaussian additive noise. It is assumed that an unknown vector σ of signal vector intensities belongs… Click to show full abstract

We consider the minimax detection problem for a Gaussian random signal vector in white Gaussian additive noise. It is assumed that an unknown vector σ of signal vector intensities belongs to a given set ε. We investigate when it is possible to replace the set ε with a smaller set ε0 without loss of quality (and, in particular, replace it with a single point σ0).

Keywords: vector; detection; stochastic sequences; detection gaussian; gaussian stochastic

Journal Title: Problems of Information Transmission
Year Published: 2017

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