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Probl. Peredachi Inf., 2004, Volume 40, Issue 1, Pages 48–57 (Mi ppi123)  

Methods of Signal Processing

On Optimal Detectors in Multi-User Detection Problems

M. V. Burnashev

Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: The paper is a supplement to [1]. Conditions under which asymptotically optimal detectors are linear are found. It is shown also that if, in contrast to [1], 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 [1] 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 [4] follow from [1, Theorem 1].

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English version:
Problems of Information Transmission, 2004, 40:1, 44–52

Bibliographic databases:

UDC: 621.391.1
Received: 20.05.2003

Citation: 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
\Bibitem{Bur04}
\by M.~V.~Burnashev
\paper On Optimal Detectors in Multi-User Detection Problems
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 1
\pages 48--57
\mathnet{http://mi.mathnet.ru/ppi123}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2099019}
\zmath{https://zbmath.org/?q=an:1085.94006}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 1
\pages 44--52
\crossref{https://doi.org/10.1023/B:PRIT.0000024879.99179.1f}


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