Nonlinear Mode Decomposition (eBook)

Theory and Applications

Dmytro Iatsenko (Autor)

eBook Download: PDF

2015 | 2015
XXIII, 135 Seiten
Springer International Publishing (Verlag)
978-3-319-20016-3 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 19.6.2015
• Reihe/Serie: Springer Theses
• Zusatzinfo: XXIII, 135 p. 33 illus., 13 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Ensemble empirical mode decomposition • Nonlinear mode decomposition • Signal analysis by decomposition • Signal contamination by random fluctuations • Signal contamination by random noise • time-frequency analysis • Wavelet ridges • wavelet transform • Windowed Fourier transform
• ISBN-10: 3-319-20016-X / 331920016X
• ISBN-13: 978-3-319-20016-3 / 9783319200163