Primer on Fourier Analysis for the Geosciences

Primer on Fourier Analysis for the Geosciences

Crockett, Robin (University of Northampton)

Cambridge University Press

02/2019

188

Mole

Inglês

9781316600245

15 a 20 dias

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.
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.
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