Fourier transform of sum of sinusoids

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Walid
Walid 2021-5-12
评论： Walid 2021-5-12
can i approximate the Fourier Transform of a finite sum of sine, or is there an apprximation of the finite sum of sine. the sommation is sin(w1t) + sin(w2t) + sin(w3t).

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Paul
Paul 2021-5-12
Ran in:
The exact Fourier transform can be found as:
syms w1 w2 w3 t w
f(t)=sin(w1*t)+sin(w2*t)+sin(w3*t);
F(w)=fourier(f(t),t,w)
F(w) = 

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Walid
Walid 2021-5-12
thank you !
but the summation include sin(w1t) + sin(w2t) + sin(w3t). and not w1, 2w, 3w.
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Walid
Walid 2021-5-12
thanks,
of course, the integration is with respect to the time 't', sin(w1*t)+sin(w2*t)+sin(w3*t)

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