Information Loss in Deterministic Signal Processing Systems

• Main Authors: Geiger, Bernhard C. (Author, http://id.loc.gov/vocabulary/relators/aut), Kubin, Gernot (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Understanding Complex Systems,
• Subjects: Computational complexity.; Signal processing.; Image processing.; Speech processing systems.; Statistical physics.; Dynamical systems.; Complexity.; Signal, Image and Speech Processing.; Complex Systems.

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, rectif...

Table of Contents:

• 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.