If you have several frequencies you want to fit, I would do the fft (link) first, find your frequencies of interest and their phases, and then simulate your curves from those data.
Question about 1D Fourier Transform
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Hi eveyone! I have a question concerning the Fourier Transform. Let's suppose to have a function y=f(x), where x and y are two arrays, which presents one (or more) periodical oscillation(s). What is the easiest way to fit this (these) oscillation(s) with a curve, e.g. a sine function (or a combination of more sine functions) and then retrieve the oscillation frequency (frequencies) by a Fourier Transform of the fitting curve(s)? For instance, if x is a time vector expressed in seconds I should obtain a frequency in 1/seconds. Thanks.
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