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On Optimal Detectors in Multiuser Detection Problems

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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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REFERENCES

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Authors and Affiliations

  1. Institute for Information Transmission Problems, RAS, Moscow

    M. V. Burnashev

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  1. M. V. Burnashev
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Burnashev, M.V. On Optimal Detectors in Multiuser Detection Problems. Problems of Information Transmission 40, 44–52 (2004). https://doi.org/10.1023/B:PRIT.0000024879.99179.1f

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  • DOI: https://doi.org/10.1023/B:PRIT.0000024879.99179.1f

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