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Low-Resolution Scalar Quantization for Gaussian Sources and Absolute Error

Marco, Daniel and Neuhoff, David L. (2007) Low-Resolution Scalar Quantization for Gaussian Sources and Absolute Error. IEEE Transactions on Information Theory, 53 (3). pp. 1177-1179. ISSN 0018-9448. doi:10.1109/TIT.2006.890714.

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This correspondence 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 Dmax 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:© Copyright 2007 IEEE. Reprinted with permission. Manuscript received December 30, 2005; revised November 27, 2006. [Posted online: 2007-02-20] The work of D. Marco was supported by the Center for the Mathematics of Information at the California Institute of Technology. The work of D.L. Neuhoff was supported by the National Science Foundation under Grant CCR-0329715. The material in this correspondence was presented at the IEEE International Symposium on Information Theory, Seattle, WA, July 2006. Communicated by W. Szpankowski, Associate Editor for Source Coding.
Subject Keywords:Absolute error, entropy constrained quantization, Gaussian, low rate, low resolution, scalar quantization
Issue or Number:3
Record Number:CaltechAUTHORS:MARieeetit07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7700
Deposited By: Archive Administrator
Deposited On:22 Mar 2007
Last Modified:08 Nov 2021 20:44

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