NDLI: On detection with partial information in the Gaussian setup

Content Provider	IEEE Xplore Digital Library
Author	Ozyesil, O. Kivanc Mihcak, M. Altug, Y.
Copyright Year	2009
Description	Author affiliation: PACM (the Program in Applied and Computational Mathematics), Princeton University, Princeton, NJ, 08544 (Ozyesil, O.) \|\| Electrical and Electronics Engineering Department of Bogazici University, Istanbul, 34342, Turkey (Kivanc Mihcak, M.) \|\| School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853 (Altug, Y.)
Abstract	We introduce the problem of communication with partial information, where there is an asymmetry between the transmitter and the receiver codebooks. Practical applications of the proposed setup include the robust signal hashing problem within the context of multimedia security and asymmetric communications with resource-lacking receivers. We study this setup in a binary detection theoretic context for the additive colored Gaussian noise channel. In our proposed setup, the partial information available at the detector consists of dimensionality-reduced versions of the transmitter codewords, where the dimensionality reduction is achieved via a linear transform. We first derive the corresponding MAP-optimal detection rule and the corresponding conditional probability of error (conditioned on the partial information the detector possesses). Then, we constructively quantify an optimal class of linear transforms, where the cost function is the expected Chernoff bound on the conditional probability of error of the MAP-optimal detector.
Starting Page	1494
Ending Page	1501
File Size	390351
Page Count	8
File Format	PDF
ISBN	9781424458707
e-ISBN	9781424458714
DOI	10.1109/ALLERTON.2009.5394499
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-09-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Context Privacy Transmitters Engineering profession Information security Detectors Bidirectional control Signal processing Noise robustness Protection
Content Type	Text
Resource Type	Article

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