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The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.

10 votes

Fourier vs Laplace transforms

Fourier transform (FT) - (roughly) a tool to visualize ANY signal as a sum of sinusoids. Laplace transform (LT) - a tool to analyze the stability of systems. Why can't we use FT to analyze systems? …
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