Robin Crockett (University of Northampton)

A Primer on Fourier Analysis for the Geosciences

• Broschiertes Buch

Produktbeschreibung

An intuitive introduction to basic Fourier theory, with an emphasis on geoscience applications. Numerous worked examples from R are used to illustrate the theory, making this an ideal practical guide for graduate students and researchers who are using time-series analysis to quantify periodic features in geoscience data.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 188
• Erscheinungstermin: 4. April 2019
• Englisch
• Abmessung: 251mm x 179mm x 10mm
• Gewicht: 312g
• ISBN-13: 9781316600245
• ISBN-10: 1316600246
• Artikelnr.: 53849015

Autorenporträt

Robin Crockett is Reader in Data Analysis in the Faculty of Arts, Science and Technology at the University of Northampton. He is a member of the Institute of Mathematics and its Applications (IMA) and the Institute of Physics (IOP) and holds Chartered Scientist Status. He specialises in investigating periodic, recurrent and anomalous features in data, and has led a highly successful short course on Fourier analysis at the European Geosciences Union General Assembly for many years.

Inhaltsangabe

Preface
Acknowledgments
1. What is Fourier analysis
2. Covariance-based approaches
3. Fourier series
4. Fourier transforms
5. Using the FFT to identify periodic features in time-series
6. constraints on the FFT
7. Stationarity and spectrograms
8. Noise in time-series
9. Periodograms and significance
Appendix A. DFT matrices and symmetries
Appendix B. Simple spectrogram code
Further reading and online resources
References
Index.