On the improvability and nonimprovability of detection via additional independent noise
Date
2009-07-28
Authors
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Source Title
IEEE Signal Processing Letters
Print ISSN
1070-9908
Electronic ISSN
Publisher
IEEE
Volume
16
Issue
11
Pages
1001 - 1004
Language
English
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Abstract
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.