The Fast Fourier Transform and its application to tidal oscillations

Open Access

1 January 1971

journal article
Published by FapUNIFESP (SciELO) in Boletim do Instituto Oceanográfico

Vol. 20 (1) , 145-199
https://doi.org/10.1590/s0373-55241971000100007

Abstract

This paper proposes a new way of tidal spectral analysis based on the Cooley-Tukey algorithm, known as the Fast Fourier Transform. The Fast Fourier Transform analysis is used to compute both the harmonic constants of the tide and the power spectrum.The latter is obtained by means of a weighted sum. A new way is also derived to obtain the formula giving the number of the degrees of freedom,on which is based the confi dence interval corresponding to the noise spectrum.

Keywords

This publication has 3 references indexed in Scilit:

Tidal spectroscopy and prediction
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1966
An algorithm for the machine calculation of complex Fourier series
Mathematics of Computation, 1965
VI. The analysis of tidal observations
Philosophical Transactions of the Royal Society A, 1928