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Advances in Mathematical Methods and High Performance Computing pp 69–82Cite as

Nonstationary Signal Decomposition for Dummies

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Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 41))

Abstract

How can I decompose a nonstationary signal? What are the advantages of using the most recent methods available in the literature versus using classical methods like (short time) Fourier transform or wavelet transform? This paper tries to address these and other questions providing the reader with a brief and self-contained survey on what and how to tackle the decomposition of nonstationary signals.

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Notes

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Acknowledgements

The author’s research was supported by Istituto Nazionale di Alta Matematica (INdAM) “INdAM Fellowships in Mathematics and/or Applications cofunded by Marie Curie Actions,” PCOFUND-GA-2009-245492 INdAM-COFUND Marie Sklodowska Curie Integration Grants.

The author is deeply grateful to Haomin Zhou, a great researcher and a wonderful person. He contributed substantially to this work and to the author career with many suggestions and pieces of advice he gave to the author over the years.

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Authors and Affiliations

  1. Istituto Nazionale di Alta Matematica, Città Universitaria, P.le Aldo Moro 5, 00185, Rome, Italy

    Antonio Cicone

  2. Department of Information Engineering, Computer Science and Mathematics, Università degli Studi dell’Aquila, via Vetoio n.1, 67100, L’Aquila, Italy

    Antonio Cicone

  3. Gran Sasso Science Institute, Via Michele Jacobucci, 2, 67100, L’Aquila, Italy

    Antonio Cicone

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  1. Antonio Cicone
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Correspondence to Antonio Cicone .

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Editors and Affiliations

  1. Department of Applied Science and Humanities, Inderprastha Engineering College, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. School of Science and Technology, Federation University Australia, Mt. Helen, VIC, Australia

    David Gao

  3. Institute of Numerical Mathematics, Technische Universität Dresden, Dresden, Germany

    Andreas Fischer

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Cicone, A. (2019). Nonstationary Signal Decomposition for Dummies. In: Singh, V., Gao, D., Fischer, A. (eds) Advances in Mathematical Methods and High Performance Computing. Advances in Mechanics and Mathematics, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-02487-1_3

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