Abstract
It was an inspired observation of Fourier that nearly all functions could be thought of as sums of sine and cosine waves. In this chapter we intend to describe the mathematical background needed to understand the methods which are used to carry out this analysis. In the first section we consider a nicely behaved situation where the function we are analysing is periodic. It then turns out that when we analyse the frequencies involved they are only nice simple ones occurring at discrete intervals. The spectrum and phase angles are easy to see in this case.
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© 1984 A. R. Camina and G. J. Janacek
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Camina, A.R., Janacek, G.J. (1984). Fourier Analysis. In: Mathematics for Seismic Data Processing and Interpretation. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7767-2_7
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DOI: https://doi.org/10.1007/978-94-011-7767-2_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-86010-576-3
Online ISBN: 978-94-011-7767-2
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