On Optimal Detectors in Multiuser Detection Problems

On Optimal Detectors in Multiuser Detection Problems 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]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On Optimal Detectors in Multiuser Detection Problems

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2004 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/B:PRIT.0000024879.99179.1f
Publisher site
See Article on Publisher Site

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].

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 20, 2004

References

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