On the Excess Distortion Exponent of the Quadratic-Gaussian Wyner-Ziv Problem
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Wornell_On the excess.pdf
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Author(s)
Kochman, Yuval
Wornell, Gregory W.
Date Issued
July 2010
Journal
Proceedings of the IEEE International Symposium on Information Theory (ISIT), 2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Wornell, Gregory W. "On the Excess Distortion Exponent of the Quadratic-Gaussian Wyner-Ziv Problem." Proceedings of the IEEE International Symposium on Information Theory (ISIT), 2010: 36-40. © 2010 IEEE.
Version
Final published version
Abstract
An achievable excess distortion exponent for compression of a white Gaussian source by dithered lattice quantization is derived. We show that for a required distortion level close enough to the rate-distortion function, and in the high-rate limit, the exponent equals the optimal quadratic-Gaussian excess distortion exponent. Using this approach, no further loss is incurred by the presence of any source interference known at the decoder (“Wyner-Ziv side-information”). The derivation of this achievable exponent involves finding the exponent of the probability that a combination of a spherically-bounded vector and a Gaussian vector leaves the Voronoi cell of a good lattice.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/ISIT.2010.5513294
