Nonlinear optics: theory, numerical mode
โ Partha P. Banerjee
๐ Library
๐
2003
๐ CRC Press
๐ English
โฆ LIBER โฆ
๐
Nonlinear Mode Decomposition: Theory and Applications
โ Scribed by Dmytro Iatsenko (auth.)
- Publisher
- Springer International Publishing
- Year
- 2015
- Tongue
- English
- Leaves
- 152
- Series
- Springer Theses
- Edition
- 1
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Table of Contents
Front Matter....Pages i-xxiii
Introduction....Pages 1-6
Linear Time-Frequency Analysis....Pages 7-42
Extraction of Components from the TFR....Pages 43-57
Nonlinear Mode Decomposition (NMD)....Pages 59-81
Examples, Applications and Related Issues....Pages 83-111
Conclusion....Pages 113-116
Appendix: Useful Information and Derivations....Pages 117-135
โฆ Subjects
Numerical and Computational Physics; Dynamical Systems and Ergodic Theory; Signal, Image and Speech Processing; Mathematical Software; Statistical Physics, Dynamical Systems and Complexity
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