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Published March 1, 2007 | public
Journal Article Open

Low-Resolution Scalar Quantization for Gaussian Sources and Absolute Error

Abstract

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.

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.

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Created:
August 22, 2023
Modified:
October 16, 2023