Nonlinear Mode Decomposition

Theory and Applications

Dmytro Iatsenko (Autor)

Buch | Softcover

XXIII, 135 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-38712-3 (ISBN)

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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.

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

Erscheinungsdatum	21.10.2016
Reihe/Serie	Springer Theses
Zusatzinfo	XXIII, 135 p. 33 illus., 13 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Complex Systems • Dynamical Systems and Ergodic Theory • Dynamics and statics • Ensemble empirical mode decomposition • Imaging systems and technology • Mathematical and statistical software • Mathematical Physics • mathematical software • Nonlinear mode decomposition • Nonlinear Science • Numerical and Computational Physics, Simulation • Physics • Physics and Astronomy • Signal analysis by decomposition • Signal contamination by random fluctuations • Signal contamination by random noise • Signal, Image and Speech Processing • Signal Processing • Statistical Physics • Statistical Physics and Dynamical Systems • time-frequency analysis • Wavelet ridges • wavelet transform • Windowed Fourier transform
ISBN-10	3-319-38712-X / 331938712X
ISBN-13	978-3-319-38712-3 / 9783319387123
Zustand	Neuware