Topological Signal Processing

Topological Signal Processing

by Michael Robinson
Topological Signal Processing

Topological Signal Processing

by Michael Robinson

Paperback(Softcover reprint of the original 1st ed. 2014)

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Signal processing is the discipline of extracting information from collections of measurements. To be effective, the measurements must be organized and then filtered, detected, or transformed to expose the desired information. Distortions caused by uncertainty, noise, and clutter degrade the performance of practical signal processing systems.

In aggressively uncertain situations, the full truth about an underlying signal cannot be known. This book develops the theory and practice of signal processing systems for these situations that extract useful, qualitative information using the mathematics of topology — the study of spaces under continuous transformations. Since the collection of continuous transformations is large and varied, tools which are topologically-motivated are automatically insensitive to substantial distortion. The target audience comprises practitioners as well as researchers, but the book may also be beneficial for graduate students.

Product Details

ISBN-13: 9783662522844
Publisher: Springer Berlin Heidelberg
Publication date: 08/23/2016
Series: Mathematical Engineering
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 208
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Introduction and informal discussion.- Parametrization.- Signals.- Detection.- Transforms.- Noise.

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