
Information Loss in Deterministic Signal Processing Systems
Springer (Publisher)
Published on 10. July 2017
Book
Hardback
XIII, 145 pages
978-3-319-59532-0 (ISBN)
Description
This book introduces readers to essential tools for the measurement and analysis of information loss in signal processing systems. Employing a new information-theoretic systems theory, the book analyzes various systems in the signal processing engineer's toolbox: polynomials, quantizers, rectifiers, linear filters with and without quantization effects, principal components analysis, multirate systems, etc. The user benefit of signal processing is further highlighted with the concept of relevant information loss. Signal or data processing operates on the physical representation of information so that users can easily access and extract that information. However, a fundamental theorem in information theory-data processing inequality-states that deterministic processing always involves information loss.
These measures form the basis of a new information-theoretic systems theory, which complements the currently prevailing approaches based on second-order statistics, such as the mean-squared error or error energy. This theory not only provides a deeper understanding but also extends the design space for the applied engineer with a wide range of methods rooted in information theory, adding to existing methods based on energy or quadratic representations.
These measures form the basis of a new information-theoretic systems theory, which complements the currently prevailing approaches based on second-order statistics, such as the mean-squared error or error energy. This theory not only provides a deeper understanding but also extends the design space for the applied engineer with a wide range of methods rooted in information theory, adding to existing methods based on energy or quadratic representations.
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Series
Edition
1st ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
9 farbige Abbildungen, 7 s/w Abbildungen
XIII, 145 p. 16 illus., 9 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 15 mm
Weight
412 gr
ISBN-13
978-3-319-59532-0 (9783319595320)
DOI
10.1007/978-3-319-59533-7
Schweitzer Classification
Other editions
Additional editions

Bernhard C. Geiger | Gernot Kubin
Information Loss in Deterministic Signal Processing Systems
Book
08/2018
Springer
€106.99
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Bernhard C. Geiger | Gernot Kubin
Information Loss in Deterministic Signal Processing Systems
E-Book
07/2017
Springer
€96.29
Available for download
Content
Introduction.- Part I: Random Variables.- Piecewise Bijective Functions and Continuous Inputs.- General Input Distributions.- Dimensionality-Reducing Functions.- Relevant Information Loss.- II. Part II: Stationary Stochastic Processes.- Discrete-Valued Processes.- Piecewise Bijective Functions and Continuous Inputs.- Dimensionality-Reducing Functions.- Relevant Information Loss Rate.- Conclusion and Outlook.