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  • © 2015

Nonlinear Mode Decomposition

Theory and Applications

Authors:

  • Nominated as an outstanding PhD thesis by Lancaster University, UK
  • Free MatLab codes available for all methods used in the book
  • Details many important aspects of time-frequency analysis that are often touched upon only briefly in the literature
  • Includes numerous examples and applications
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Introduction

    • Dmytro Iatsenko
    Pages 1-6
  3. Linear Time-Frequency Analysis

    • Dmytro Iatsenko
    Pages 7-42
  4. Extraction of Components from the TFR

    • Dmytro Iatsenko
    Pages 43-57
  5. Nonlinear Mode Decomposition (NMD)

    • Dmytro Iatsenko
    Pages 59-81
  6. Examples, Applications and Related Issues

    • Dmytro Iatsenko
    Pages 83-111
  7. Conclusion

    • Dmytro Iatsenko
    Pages 113-116
  8. Appendix: Useful Information and Derivations

    • Dmytro Iatsenko
    Pages 117-135

About this book

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.

Authors and Affiliations

  • Department of Physics, Lancaster University, Lancaster, United Kingdom

    Dmytro Iatsenko

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access