NDLI: High-Resolution Source Coding for Non-Difference Distortion Measures: Multidimensional Companding (1996)

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High-Resolution Source Coding for Non-Difference Distortion Measures: Multidimensional Companding (1996)

Content Provider	CiteSeerX
Author	Linder, Tamás Zamir, Ram Zeger, Kenneth
Abstract	Entropy coded vector quantization is studied using high resolution multidimensional companding over a class of non-difference distortion measures. For distortion measures which are "locally quadratic" a rigorous derivation of the asymptotic distortion and entropy coded rate of multidimensional companders is given along with conditions for the optimal choice of the compressor function. Examples are shown for the existence of optimal compressors. The rate distortion performance of the companding scheme is studied using a recently obtained asymptotic expression for the rate distortion function which parallels the Shannon lower bound for difference distortion measures. It is proved that the high resolution performance of the scheme is arbitrarily close to the rate distortion limit for large quantizer dimensions if the compressor function and the lattice quantizer used in the companding scheme are optimal, extending an analogous statement for entropy coded lattice quantization and MSE disto...
File Format	PDF
Volume Number	45
Journal	IEEE Trans. Inform. Theory
Language	English
Publisher Date	1996-01-01
Access Restriction	Open
Subject Keyword	Non-difference Distortion Measure Multidimensional Companding High-resolution Source Coding Compressor Function Lattice Quantizer High Resolution Multidimensional Companding Rigorous Derivation Distortion Measure Analogous Statement Rate Distortion Limit Companding Scheme Lattice Quantization Difference Distortion Measure Optimal Choice Mse Disto Asymptotic Distortion Large Quantizer Dimension High Resolution Performance Rate Distortion Performance Multidimensional Companders Rate Distortion Function Vector Quantization Asymptotic Expression Optimal Compressor
Content Type	Text
Resource Type	Article

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