Inverse Fourier Transform Using ifourier command
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Hi! I have a quick question on the ifourier command. I am currently trying to take the inverse fourier transform of the following function.
I can get the following answer but I am having trouble with plotting.
ifourier gives me -> -(2*pi*t*sign(t) + 2*fourier(cos(w)/w^2, w, -t))/(2*pi)
I would greatly apprecaite any help on trying to get this to plot. The graph for the original function should look something like this.
Thanks again
采纳的回答
Sometimes simplify is needed:
syms w t
X(w) = 4*sin(w/2)^2/w^2;
x(t) = ifourier(X(w),w,t)
x(t) = simplify(x(t),100)
fplot(x(t),[-2 2])
3 个评论
William Trace Lacour
2022-2-20
William Trace Lacour
2022-2-20
Paul
2022-2-20
Don't know why it was needed. I suppose in this case it might have to do with whatever rules and tansforms the Symbolic Math Toolbox uses for fourier()/ifourier(). Sometimes one just has to try things. simplify() is usually a good place to start. In other cases, rewrite(), expand(), etc. can be helpful.
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