DocumentCode :
3634726
Title :
On detection with partial information in the Gaussian setup
Author :
Onur Özyeşil;M. Kivanç Mihçak;Yğcel Altug
Author_Institution :
PACM (the Program in Applied and Computational Mathematics), Princeton University, Princeton, NJ, 08544
fYear :
2009
Firstpage :
1494
Lastpage :
1501
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.
Keywords :
"Transmitters","Protection","Context","Detectors","Noise robustness","Information security","Engineering profession","Signal processing","Privacy","Bidirectional control"
Publisher :
ieee
Conference_Titel :
Communication, Control, and Computing, 2009. Allerton 2009. 47th Annual Allerton Conference on
Print_ISBN :
978-1-4244-5870-7
Type :
conf
DOI :
10.1109/ALLERTON.2009.5394499
Filename :
5394499
Link To Document :
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