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Nonlinear Mode Decomposition

Theory and Applications

Language EnglishEnglish
Book Hardback
Book Nonlinear Mode Decomposition Dmytro Iatsenko
Libristo code: 09301104
Publishers Springer International Publishing AG, June 2015
This work introduces a new method for analysing measured signals: nonlinear mode decomposition, or N... Full description
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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. MatLab codes for rapid implementation are available from the author. NMD will most likely come to be used in a broad range of applications, e.g. in biology, environmental science and astrophysics, as well as in physiology and medicine.

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