03352nam 22007335 450 991029971810332120260810143943.09783642361043364236104810.1007/978-3-642-36104-3(OCoLC)871006754(MiFhGG)GVRL6YJA(CKB)3710000000083692(DE-He213)978-3-642-36104-3(UkBuK)1499568(EXLCZ)99371000000008369220140107d2014 u| 0engurun|---uuuuatxtccrTopological Signal Processing /by Michael Robinson1st ed. 2014.Springer Nature20141 online resource (xvi, 208 pages) illustrationsMathematical Engineering,2192-4740"ISSN: 2192-4732."9783642361036 364236103X Includes bibliographical references and index.Introduction and informal discussion -- Parametrization -- Signals -- Detection -- Transforms -- Noise.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.Mathematical Engineering,2192-4740Signal processingTopologyTelecommunicationMathematicsData processingComputer scienceMathematicsSignal, Speech and Image ProcessingTopologyCommunications Engineering, NetworksComputational Science and EngineeringMathematical Applications in Computer ScienceSignal processing.Topology.Telecommunication.MathematicsData processing.Computer scienceMathematics.Signal, Speech and Image Processing.Topology.Communications Engineering, Networks.Computational Science and Engineering.Mathematical Applications in Computer Science.621.382621.382/2621.382201514Robinson Michaelauthttp://id.loc.gov/vocabulary/relators/aut37662MiFhGGMiFhGGBOOK9910299718103321Topological Signal Processing1925280UNINA