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Published July 2006 | Published
Book Section - Chapter Open

Low Rate Scalar Quantization for Gaussian Sources and Absolute Error

Abstract

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.

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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