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Information loss in deterministic signal processing systems / Bernhard C. Geiger, Gernot Kubin.

Geiger, Bernhard C. author.; Kubin, Gernot, author.
2018
TK5102.9
Available Online
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Title
Information loss in deterministic signal processing systems / Bernhard C. Geiger, Gernot Kubin.
Author
Geiger, Bernhard C. author.
ISBN
9783319595337 (electronic book)
3319595334 (electronic book)
9783319595320
DOI
https://doi.org/10.1007/978-3-319-59533-7
Published
Cham, Switzerland : Springer, [2018].
Language
English
Description
1 online resource (xiii, 145 pages) : illustrations.
Item Number
10.1007/978-3-319-59533-7 doi
Call Number
TK5102.9
Dewey Decimal Classification
621.382/2
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 17, 2017).
Added Author
Kubin, Gernot, author.
Series
Understanding complex systems, 1860-0832
Springer complexity.
Available in Other Form
Print version: 9783319595320
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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.

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