000 01540 a2200181 4500
020 _a9781316600245
040 _cIIT Kanpur
041 _aeng
082 _a515.24330155
_bC872p
100 _aCrockett, Robin
245 _aA primer on fourier analysis for the geosciences
_cRobin Crockett
260 _bCambridge University Press
_c2019
_aCambridge
300 _axiv, 176p
520 _aTime-series analysis is used to identify and quantify periodic features in datasets and has many applications across the geosciences, from analysing weather data, to solid-Earth geophysical modelling. This intuitive introduction provides a practical 'how-to' guide to basic Fourier theory, with a particular focus on Earth system applications. The book starts with a discussion of statistical correlation, before introducing Fourier series and building to the fast Fourier transform (FFT) and related periodogram techniques. The theory is illustrated with numerous worked examples using R datasets, from Milankovitch orbital-forcing cycles to tidal harmonics and exoplanet orbital periods. These examples highlight the key concepts and encourage readers to investigate more advanced time-series techniques. The book concludes with a consideration of statistical effect size and significance. This useful book is ideal for graduate students and researchers in the Earth system sciences who are looking for an accessible introduction to time-series analysis.
650 _aFourier analysis
650 _aEarth sciences -- Mathematics
942 _cBK
999 _c560807
_d560807