Least favorable additive noise under a divergence constraint

An uncertainty class of additive noise probability density functions (pdfs) satisfying a constraint on divergence from a prescribed nominal is analyzed in the context of antipodal communication. From within this class, the noise pdf that maximizes detection error probability is determined for both z...

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Bibliographic Details
Main Authors: McKellips, A.L., Verdu, S.
Format: Conference Proceeding
Language:English
Subjects:
Additive noise
Additive white noise
Detectors
Error probability
Gaussian noise
Jamming
Maximum likelihood detection
Noise figure
Tail
Uncertainty
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Summary:An uncertainty class of additive noise probability density functions (pdfs) satisfying a constraint on divergence from a prescribed nominal is analyzed in the context of antipodal communication. From within this class, the noise pdf that maximizes detection error probability is determined for both zero-threshold and maximum-likelihood detection strategies. An optional additional constraint on SNR is also considered, and asymptotic behavior is studied for vanishing divergence tolerance.
DOI:10.1109/ISIT.1997.613470