On Optimal Linear Detectors, Asymptotic Efficiency, and Some CDMA Problems

On Optimal Linear Detectors, Asymptotic Efficiency, and Some CDMA Problems Necessary and sufficient conditions for a linear detector to be asymptotically optimal are given. In particular, it is shown that finding the asymptotically best linear detector and the largest asymptotic efficiency is a standard problem of convex analysis in Euclidean space, namely, finding the distance from a point to a convex set. As examples, decorrelating and conventional detectors are considered. In the case of randomly chosen CDMA signals, we show that, under certain conditions, the decorrelating detector is with high probability asymptotically optimal. This allows us to find the largest asymptotic efficiency of linear detectors for randomly chosen CDMA signals. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On Optimal Linear Detectors, Asymptotic Efficiency, and Some CDMA Problems

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2003 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/A:1025152322005
Publisher site
See Article on Publisher Site

References

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