Finding derivative using FFT

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Luqman Saleem
Luqman Saleem il 9 Mag 2019
Modificato: Luqman Saleem il 9 Mag 2019
I have an array of the following form:
1 -1.77000000000000e-15 - 0.726930931000000i
2 -0.211027375000000 + 1.20000000000000e-15i
3 -1.03000000000000e-15 - 0.0619000000000000i
4 -0.0297000000000000 - 2.84000000000000e-16i
5 -6.04000000000000e-16 - 0.0350000000000000i
6 -0.00560000000000000 - 2.56000000000000e-15i
7 3.64000000000000e-15 - 0.0202000000000000i
8 0.00351000000000000 - 1.03000000000000e-16i
9 8.05000000000000e-16 - 0.0116000000000000i
10 0.00748000000000000 - 2.65000000000000e-16i
11 -4.54000000000000e-15 - 0.00540000000000000i
12 0.00904000000000000 - 3.32000000000000e-15i
13 1.07000000000000e-17 - 9.72000000000000e-15i
14 0.00904000000000000 + 6.18000000000000e-15i
15 -6.43000000000000e-15 + 0.00540000000000000i
16 0.00748000000000000 - 6.13000000000000e-16i
17 -1.42000000000000e-15 + 0.0116000000000000i
18 0.00351000000000000 + 7.64000000000000e-15i
19 -2.66000000000000e-15 + 0.0202000000000000i
20 -0.00560000000000000 + 3.10000000000000e-16i
21 -6.90000000000000e-15 + 0.0350000000000000i
22 -0.0297000000000000 + 1.09000000000000e-14i
23 5.54000000000000e-15 + 0.0619000000000000i
24 -0.211027375000000 + 2.30000000000000e-14i
25 1.18000000000000e-13 + 0.726930931000000i
26 1.00000000000000 - 1.19000000000000e-13i
where first column is x and second column is . And is a periodic function
How can I find it's first and second derivative using FFT?

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