A Primer on Fourier Analysis for the Geosciences

    Research output: Book/ReportBook

    Abstract

    Time-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.
    Original languageEnglish
    Place of PublicationCambridge, UK
    PublisherCambridge University Press
    Number of pages188
    EditionFirst
    ISBN (Electronic)978-1316543818
    ISBN (Print)978-1316600245
    DOIs
    Publication statusPublished - 1 Feb 2019

    Bibliographical note

    The formal proposal was peer reviewed prior to CUP issuing the contract. If this should be checked as non-peer-reviewed, please amend.

    Keywords

    • Solid Earth Geophysics
    • Earth Science
    • Environmental Science
    • Geoscience
    • Planetary Science

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