Multiuser Detection
On Optimal Linear Detectors, Asymptotic Efficiency, and Some CDMA Problems
Problems of Information Transmission
Optimum asymptotic multiuser efficiency of randomly spread CDMA
IEEE Transactions on Information Theory
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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].