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Low Rate Scalar Quantization for Gaussian Sources and Absolute Error

Marco, Daniel and Neuhoff, David L. (2006) Low Rate Scalar Quantization for Gaussian Sources and Absolute Error. In: 2006 IEEE International Symposium on Information Theory. IEEE , Piscataway, NJ, pp. 2551-2553. ISBN 1-4244-0505-X.

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This paper considers low resolution scalar quantization for a memoryless Gaussian source with respect to absolute error distortion. It shows that slope of the operational rate-distortion function of scalar quantization is infinite at the point D_(max) where the rate becomes zero. Thus, unlike the situation for squared error distortion, or for Laplacian and exponential sources with squared or absolute error distortion, for a Gaussian source and absolute error, scalar quantization at low rates is far from the Shannon rate-distortion function, i.e. far from the performance of the best lossy coding technique.

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Additional Information:© 2006 IEEE. The work of D. Marco was supported by the Center of Mathematics of Information at California Institute of Technology. The work of D. L. Neuhoff was supported by NSF Grant ANI-0112801.
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Caltech Center for Mathematics of InformationUNSPECIFIED
Record Number:CaltechAUTHORS:20170427-173835088
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Official Citation:D. Marco and D. L. Neuhoff, "Low Rate Scalar Quantization for Gaussian Sources and Absolute Error," 2006 IEEE International Symposium on Information Theory, Seattle, WA, 2006, pp. 2551-2553. doi: 10.1109/ISIT.2006.262092
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77035
Deposited On:28 Apr 2017 01:18
Last Modified:15 Nov 2021 17:04

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