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Foundations of quantization for probability distributions

Author: Siegfried Graf; Harald Luschgy
Publisher: Berlin ; New York : Springer, ©2000.
Series: Lecture notes in mathematics (Springer-Verlag), 1730.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Graf, Siegfried, 1949-
Foundations of quantization for probability distributions.
Berlin; New York : Springer, ©2000
(DLC) 00038817
(OCoLC)43859545
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Siegfried Graf; Harald Luschgy
ISBN: 9783540455776 3540455779
OCLC Number: 162125790
Description: 1 online resource (x, 230 pages) : illustrations.
Contents: I. General properties of the quantization for probability distributions: Voronoi partitions. Centers and moments of probability distributions. The quantization problem. Basic properties of optimal quantizers. Uniqueness and optimality in one dimension --
II. Asymptotic quantization for nonsingular probability distributions: Asymptotics for the quantization error. Asymptotically optimal quantizers. Regular quantizers and quantization coefficients. Random quantizers and quantization coefficients. Asymptotics for the covering radius --
III. Asymptotic quantization for singular probability distributions: The quantization dimension. Regular sets and measures of dimension D. Rectifiable curves. Self-similar sets and measures.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1730.
Responsibility: Siegfried Graf, Harald Luschgy.
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Abstract:

Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory.  Read more...

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