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Thank you for taking time to read my post.

Background: I have a accelerometer project that I am playing with that gives me the acceleration of the object. I can plot this data and it looks very nice. I want to integrate this to get the velocity and then integrate it again to get the position over time.

Question: is there a way to extract the individual sinusoids out of a fast Fourier transform of a discrete set of data points?

I understand that the FFT of the set of data points gives me the amplitude of each sinusoids for its respective frequency. But how can I extract the Fourier series representation of my set of data points?