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Information Loss in Deterministic Signal Processing Systems

by Bernhard C. Geiger, Gernot Kubin

Part of the Understanding Complex Systems Series

Information Loss in Deterministic Signal Processing Systems Synopsis

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.

Book Information

ISBN: 9783319595320
Publication date: 10th July 2017
Author: Bernhard C. Geiger, Gernot Kubin
Publisher: Springer International Publishing AG
Format: Hardback
Pagination: 145 pages
Categories: Cybernetics & systems theory, Imaging systems & technology, Statistical physics,

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