Methods of Signal Processing
On Optimal Detectors in Multi-User Detection Problems
M. V. Burnashev
Institute for Information Transmission Problems, Russian Academy of Sciences
The paper is a supplement to . Conditions under which asymptotically optimal detectors are linear are found. It is shown also that if, in contrast to , we consider not the Bayesian but minimax statement of the problem with unknown coefficients, then optimal detectors are linear (moreover, nonasymptotically). A geometrical meaning of Theorem 1 from  is explained, and it is shown that the theorem follows from some general results [2, 3] on hypotheses testing. It is also shown that some results of  follow from [1, Theorem 1].
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Problems of Information Transmission, 2004, 40:1, 44–52
M. V. Burnashev, “On Optimal Detectors in Multi-User Detection Problems”, Probl. Peredachi Inf., 40:1 (2004), 48–57; Problems Inform. Transmission, 40:1 (2004), 44–52
Citation in format AMSBIB
\paper On Optimal Detectors in Multi-User Detection Problems
\jour Probl. Peredachi Inf.
\jour Problems Inform. Transmission
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