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- W4386770956 abstract "This chapter examines Fourier series and transforms. Previous chapters show how Taylor series could be used to mimic an arbitrary function by a simple low-order polynomial in the neighbourhood of a particular point. An alternative approximation is provided by a Fourier series, which is appropriate when the curve of interest is periodic. The general characteristics of the Fourier series, with its high-frequency oscillatory behaviour when sharp features are involved, means that a term-by-term differentiation is an extremely ill-advised operation. The chapter then looks at the Fourier integral. It also considers the auto-correlation function of Fourier transforms, which provides information on the distribution of the distances between various parts of the structures in f(<italic>x</italic>)." @default.
- W4386770956 created "2023-09-16" @default.
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- W4386770956 date "2020-11-12" @default.
- W4386770956 modified "2023-09-27" @default.
- W4386770956 title "Fourier series and transforms" @default.
- W4386770956 doi "https://doi.org/10.1093/hesc/9780198797548.003.0015" @default.
- W4386770956 hasPublicationYear "2020" @default.
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