MATLAB: How to find the Fourier transform X(ω)

continuous signalsfourier transformsignal and systems

Hello world!
I want to find the fourier transform X(ω) of these continuous signals x(t).
Also I want to find the inverse fourier transform of these signal X(ω).
In addition, for each of the above questions, draw the signals x(t) and the spectrums Χ(ω) respectively.
I run this code for first questions but it doesn't work. Can anyone help me?
t =(-1:0.01:1)';
u == unitstep = t>=0;
x = (t.*exp(-3*t)*sin(8*t))*u;
f = fourier(x);
plot(f)

Best Answer

fourier() works with symbolic inputs
syms t
x(t) = (t*exp(-3*t)*sin(8*t))*heaviside(t);
fourier(x)
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