A Primer on Fourier Analysis for the Geosciences

ISBN-13: 9781316600245 / Angielski / Miękka / 2019 / 188 str.

Robin Crockett

Opis

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.

Recenzje

'This is a perfect book for researchers wanting to know how to perform time series analysis using the Fast Fourier Transform. The examples from Earth sciences and the R codes are especially useful for young scientists and newcomers in the field of time series analysis.' François G. Schmitt, Centre National de la Recherche Scientifique (CNRS), Paris

Spis treści

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.