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

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....

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Bibliographic Details
Published in:IEEE transactions on signal processing 2011-11, Vol.59 (11), p.5390-5403
Main Authors: Murthy, C. R., Duni, E. R., Rao, B. D.
Format: Article
Language:English
Subjects:
Analytical models
Applied sciences
Channels
Coding
Coding, codes
Compressing
Density
Detection, estimation, filtering, equalization, prediction
Distortion
Distortion measurement
Exact sciences and technology
Indexes
Information, signal and communications theory
Mathematical analysis
Noise measurement
Quantization
Rate distortion theory
Sampling, quantization
Signal and communications theory
Signal processing
Signal, noise
Source coding
Speech
speech coding
Speech processing
Studies
Telecommunications and information theory
Vector quantization
Wideband
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Summary: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2011.2164400