Information Loss in Deterministic Signal Processing Systems

Beschreibung

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.


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
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

Autor*in

Bernhard C. Geiger

Themen in »Information Loss in Deterministic Signal Processing Systems«

Linear Filters System Theory Multirate Systems Information Processing Information Theory Polynomials Principal Components Analysis complexity

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