TY - BOOK AU - Robinson,Michael ED - SpringerLink (Online service) TI - Topological Signal Processing T2 - Mathematical Engineering, SN - 9783642361043 AV - TK5102.9 U1 - 621.382 23 PY - 2014/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - engineering KW - mathematics KW - Computer Science KW - Topology KW - Telecommunication KW - Engineering KW - Signal, Image and Speech Processing KW - Communications Engineering, Networks KW - Computational Science and Engineering KW - Information and Communication, Circuits N1 - Introduction and informal discussion -- Parametrization -- Signals -- Detection -- Transforms -- Noise N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-36104-3 ER -