DocumentCode
1554226
Title
A sharp upper bound for the probability of error of the likelihood ratio test for detecting signals in white Gaussian noise
Author
Pastor, Dominique ; Gay, Roger ; Groenenboom, Albert
Author_Institution
Hollandse Signaalapparaten, Thales Nederland, Hengelo, Netherlands
Volume
48
Issue
1
fYear
2002
fDate
1/1/2002 12:00:00 AM
Firstpage
228
Lastpage
238
Abstract
A new sharp upper bound for the probability of error of the likelihood ratio test is given for the detection in white Gaussian noise of any random vector whose norm is greater than, or equal to, a given value and whose probability of presence is less than, or equal to, one half. Also, a new test for the detection of such vectors is described. This test does not depend on the distribution of the signal vector but nevertheless its probability of error is less than, or equal to, the given upper bound
Keywords
Gaussian noise; error statistics; signal detection; white noise; binary hypothesis testing; error probability; likelihood ratio test; measurement theory; minimum probability of error; random vector; sharp upper bound; signal detection; spherically invariant noise; white Gaussian noise; Additive noise; Gaussian distribution; Gaussian noise; Minimax techniques; Radar detection; Robustness; Signal detection; Testing; Uncertainty; Upper bound;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.971751
Filename
971751
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