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5 - Using the FFT to Identify Periodic Features in Time-Series
Robin Crockett, University of Northampton
Book:

A Primer on Fourier Analysis for the Geosciences

Published online:

01 February 2019

Print publication:

14 February 2019, pp 69-91
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Summary

Standard form of forward and inverse Fast Fourier Transform (FFT). Sets up a systematic approach for generating frequency indices and calibrated frequencies for FFT spectra. Develops systematic approach for generating and interpreting amplitude and power spectra as vectors in a complete FFT output data-table with frequency indices. Worked examples using real time-series as typify ‘clean’ and ‘noisy’ data, data with single and multiple frequencies, data with trends.