Do optimal entropy-constrained quantizers have a finite or infinite number of codewords?

An entropy-constrained quantizer Q is optimal if it minimizes the expected distortion D(Q) subject to a constraint on the output entropy H(Q). We use the Lagrangian formulation to show the existence and study the structure of optimal entropy-constrained quantizers that achieve a point on the lower c...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 49; no. 11; pp. 3031 - 3037
Main Authors:	Gyorgy, A., Linder, T., Chou, P.A., Betts, B.J.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.11.2003 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Associate members Codes Counters Distortion Distortion measurement Entropy Gaussian Hulls Hulls (structures) Information theory Lagrangian functions Mathematical analysis Mathematical models Mathematics Optimization Probability distribution Quantization Source coding Statistics Theory
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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