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Information Loss in Deterministic Signal Processing Systems

  • Couverture cartonnée
  • 160 Nombre de pages
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This book introduces readers to essential tools for the measurement and analysis of information loss in signal processing systems.... Lire la suite
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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 theorydata processing inequalitystates 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.

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

Includes supplementary material: sn.pub/extras



Contenu
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.

Informations sur le produit

Titre: Information Loss in Deterministic Signal Processing Systems
Auteur:
EAN: 9783319866451
ISBN: 3319866451
Format: Couverture cartonnée
Editeur: Springer International Publishing
Nombre de pages: 160
Poids: 254g
Taille: H235mm x B155mm x T8mm
Année: 2018
Sous-titre : Englisch
Edition: Softcover reprint of the original 1st ed. 2018

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