Information Loss in Deterministic Signal Processing Systems

Bernhard C. Geiger, Gernot Kubin (Autoren)

Buch | Softcover

XIII, 145 Seiten

2018 | Softcover reprint of the original 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-86645-1 (ISBN)

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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.

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.

Erscheinungsdatum	05.03.2022
Reihe/Serie	Understanding Complex Systems
Zusatzinfo	XIII, 145 p. 16 illus., 9 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	254 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik
Schlagworte	Complexity • Information Processing • Information Theory • Linear Filters • Multirate Systems • polynomials • Principal Components Analysis • System Theory
ISBN-10	3-319-86645-1 / 3319866451
ISBN-13	978-3-319-86645-1 / 9783319866451
Zustand	Neuware