High-Rate Vector Quantization for Noisy Channels With Applications to Wideband Speech Spectrum Compression

Murthy, Chandra R and Duni, Ethan R and Rao, Bhaskar D (2011) High-Rate Vector Quantization for Noisy Channels With Applications to Wideband Speech Spectrum Compression. In: IEEE Transactions on Signal Processing, 59 (11). pp. 5390-5403.

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Abstract

This paper considers the high-rate performance of source coding for noisy discrete symmetric channels with random index assignment (IA). Accurate analytical models are developed to characterize the expected distortion performance of vector quantization (VQ) for a large class of distortion measures. It is shown that when the point density is continuous, the distortion can be approximated as the sum of the source quantization distortion and the channel-error induced distortion. Expressions are also derived for the continuous point density that minimizes the expected distortion. Next, for the case of mean squared error distortion, a more accurate analytical model for the distortion is derived by allowing the point density to have a singular component. The extent of the singularity is also characterized. These results provide analytical models for the expected distortion performance of both conventional VQ as well as for channel-optimized VQ. As a practical example, compression of the linear predictive coding parameters in the wideband speech spectrum is considered, with the log spectral distortion as performance metric. The theory is able to correctly predict the channel error rate that is permissible for operation at a particular level of distortion.

Item Type:	Journal Article
Publication:	IEEE Transactions on Signal Processing
Publisher:	IEEE
Additional Information:	Copyright 2011 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords:	Rate distortion theory;source coding;speech coding;vector quantization
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	21 Dec 2011 09:21
Last Modified:	21 Dec 2011 09:21
URI:	http://eprints.iisc.ac.in/id/eprint/42612

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