From frequency to time domain

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Nicolò Monaco
Nicolò Monaco 2022-2-17
评论： Jon 2022-2-18
I have the function S, representing the sea elevation spectrum in frequency domain.
S= 300x365 , being the spectra for 365 days in 300 frequency timestep.
I want to translate the function to time domain, simulating S for every second in a day (86400s).
How can I implement this?
thank you in advance.

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Jon
Jon 2022-2-17
If I understand what you are asking for correctly I am assuming that your matrix S has the fft of the original time domain data.
I think you could then recover it and interpolate to get data for every second in the day using:
% make time vector for original spacing (300 samples per day)
t = linspace(0,86400-1,300);
% recover time domain signal
X = ifft(S);
% interpolate intermediate values
tq = 0:86400-1;
Xq = interp1(t,X,tq)
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Nicolò Monaco
Nicolò Monaco 2022-2-18
Thank you for your answer. My problem was that the spectrum is not directly derived by an fft but you provide me a feasible solution.
Jon
Jon 2022-2-18
Glad that you were able to make progress

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