Universal coding for memoryless sources with countably infinite alphabets

Universal coding for memoryless sources with countably infinite alphabets We present an asymptotically efficient coding strategy for a stationary countably infinite source determined over a set of nonnegative integers. If the kth moment µ k of the source data is finite, then asymptotic average coding redundancy for length-n blocks, n → ∞, is upper bounded by C (log n/n) k/(k+1), where C is a nonnegative constant. The coding efficiency is demonstrated via an example of scalar quantization of random variables with generalized Gaussian distribution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Universal coding for memoryless sources with countably infinite alphabets

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Publisher
Pleiades Publishing
Copyright
Copyright © 2014 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946014040085
Publisher site
See Article on Publisher Site

Abstract

We present an asymptotically efficient coding strategy for a stationary countably infinite source determined over a set of nonnegative integers. If the kth moment µ k of the source data is finite, then asymptotic average coding redundancy for length-n blocks, n → ∞, is upper bounded by C (log n/n) k/(k+1), where C is a nonnegative constant. The coding efficiency is demonstrated via an example of scalar quantization of random variables with generalized Gaussian distribution.

Journal

Problems of Information TransmissionSpringer Journals

Published: Jan 7, 2015

References

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