Bernhard C. Geiger; Gernot Kubin Information Loss in Deterministic Signal Processing Systems 9783319595320

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Автор: Bernhard C. Geiger; Gernot Kubin
Название: Information Loss in Deterministic Signal Processing Systems
ISBN: 9783319595320
Издательство: Springer
Классификация:

Кибернетика и теория систем

Статистическая физика

Машиноведение

Системы и технологии визуализации

ISBN-10: 3319595326
Обложка/Формат: Hardcover
Страницы: 145
Вес: 0.40 кг.
Дата издания: 10.07.2017
Серия: Understanding Complex Systems
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 9 illustrations, color; 7 illustrations, black and white; xiii, 145 p. 16 illus., 9 illus. in color.
Размер: 234 x 156 x 11
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

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.
Дополнительное описание: 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 Pr

Information Loss in Deterministic Signal Processing Systems, Bernhard C. Geiger; Gernot Kubin