NDLI: Causal source coding of stationary sources with high resolution

Content Provider	IEEE Xplore Digital Library
Author	Linder, T. Zamir, R.
Copyright Year	2001
Description	Author affiliation: Dept. of Math. & Stat., Queen's Univ., Kingston, Ont., Canada (Linder, T.)
Abstract	Neuhoff and Gilbert (1982) defined a causal lossy source code as a system where the reconstruction of the present source sample is restricted to be a function of the present and past source samples, while the code stream itself may be non-causal and have variable rate. They showed that for stationary and memoryless sources, optimum causal source coding is achieved by time-sharing at most two entropy coded scalar quantizers. We extend this result to general real valued stationary sources with finite differential entropy rate, in the limit of small distortions. We show that for the mean square distortion, the optimum causal encoder at high resolution is a fixed uniform quantizer followed by a sequence entropy coder. Thus, the cost of causality is the "space filling loss" of the uniform quantizer, i.e., (1/2)log(2/spl pi/e/12)/spl ap/0.254 bit. This generalizes the well known result of Gish and Pierce on asymptotically optimal entropy constrained scalar quantization.
Sponsorship	IEEE Inf. Theory Soc
File Size	137051
File Format	PDF
ISBN	0780371232
DOI	10.1109/ISIT.2001.935891
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Source coding Entropy Quantization Encoding Decoding Mathematics Statistics Time sharing computer systems Costs Filling
Content Type	Text
Resource Type	Article

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