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

Loading next page...
 
/lp/springer_journal/on-optimal-linear-detectors-asymptotic-efficiency-and-some-cdma-X3OMNY31jn
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

Abstract

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.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 3, 2004

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off