Understanding Complex Systems

Information Loss in Deterministic Signal Processing Systems

Authors: Geiger, Bernhard C., Kubin, Gernot

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  • Presents a definition of information loss for signal processing systems which is the basis of an information-theoretic systems theory
  • 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.
  • Highlights differences and similarities between design principles based on information-theoretic quantities and those based on energetic measures, such as the mean-squared error
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eBook $109.00
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  • ISBN 978-3-319-59533-7
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Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-59532-0
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.99
price for USA in USD
  • ISBN 978-3-319-86645-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

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.

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Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-59533-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-59532-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.99
price for USA in USD
  • ISBN 978-3-319-86645-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Information Loss in Deterministic Signal Processing Systems
Authors
Series Title
Understanding Complex Systems
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-59533-7
DOI
10.1007/978-3-319-59533-7
Hardcover ISBN
978-3-319-59532-0
Softcover ISBN
978-3-319-86645-1
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XIII, 145
Number of Illustrations
7 b/w illustrations, 9 illustrations in colour
Topics