Fourier coefficients in a discrete curve

[suido]

I'm struggling in an application of Fourier transform.here is my problem:
a series of points from experimental data plotted as a cruve. I'm planning to do a Fourier transform to see how smooth the curve is? my question is: is it possible/useful to calculate the Fourier coefficients? if yes, how?
I appreciate for any tips or corrections.

 

[atomthick]

Try the Discrete Fourier Transform (DFT). This will give you the harmonics you need for your discrete dataset.