On the improvability and nonimprovability of detection via additional independent noise

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Author
Bayram, S.
Gezici, S.
Date
2009-07-28Journal Title
IEEE Signal Processing Letters
ISSN
1070-9908
Publisher
IEEE
Volume
16
Issue
11
Pages
1001 - 1004
Language
English
Type
Article
Metadata
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http://hdl.handle.net/11693/11946Abstract
Addition of independent noise to measurements
can improve performance of some suboptimal detectors under
certain conditions. In this letter, sufficient conditions under which
the performance of a suboptimal detector cannot be enhanced
by additional independent noise are derived according to the
Neyman–Pearson criterion. Also, sufficient conditions are obtained
to specify when the detector performance can be improved.
In addition to a generic condition, various explicit sufficient
conditions are proposed for easy evaluation of improvability.
Finally, a numerical example is presented and the practicality of
the proposed conditions is discussed.