Nonlinear Mode Decomposition - Theory and Applications

This work introduces a new method for analysing measured signals: nonlinear mode decomposition, or NMD. It justifies NMD mathematically, demonstrates it in several applications and explains in detail how to use it in practice. Scientists often need to be able to analyse time series data that include a complex combination of oscillatory modes of differing origin, usually contaminated by random fluctuations or noise. Furthermore, the basic oscillation frequencies of the modes may vary in time; for example, human blood flow manifests at least six characteristic frequencies, all of which wander in time. NMD allows us to separate these components from each other and from the noise, with immediate potential applications in diagnosis and prognosis. Mat Lab codes for rapid implementation are available from the author. NMD will most likely come to be used in a broad range of applications.

List of contents

Introduction.- Linear Time-Frequency Analysis.- Extraction of Components from the TFR.- Nonlinear Mode Decomposition.- Examples, Applications and Related Issues.- Conclusion.

Summary

This work introduces a new method for analysing measured signals: nonlinear mode decomposition, or NMD. It justifies NMD mathematically, demonstrates it in several applications and explains in detail how to use it in practice. Scientists often need to be able to analyse time series data that include a complex combination of oscillatory modes of differing origin, usually contaminated by random fluctuations or noise. Furthermore, the basic oscillation frequencies of the modes may vary in time; for example, human blood flow manifests at least six characteristic frequencies, all of which wander in time. NMD allows us to separate these components from each other and from the noise, with immediate potential applications in diagnosis and prognosis. Mat Lab codes for rapid implementation are available from the author. NMD will most likely come to be used in a broad range of applications.

Product details

• Authors: Dmytro Iatsenko
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2015
• EAN: 9783319200156
• ISBN: 978-3-31-920015-6
• No. of pages: 135
• Dimensions: 159 mm x 14 mm x 241 mm
• Weight: 356 g
• Illustrations: XXIII, 135 p. 33 illus., 13 illus. in color.
• Series: Springer Theses; Springer Theses
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, Dynamics, Physics, Complex systems, Signal, Image and Speech Processing, Theoretical, Mathematical and Computational Physics, Signal Processing, Physics and Astronomy, Mathematical & statistical software, Dynamical Systems and Ergodic Theory, Ergodic theory, Nonlinear science, Dynamical systems, Numerical and Computational Physics, Simulation, Mathematical Software, Computer software, Speech processing systems, Imaging systems & technology, Image processing, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems, Signal, Speech and Image Processing