Cannot extract real or imag part of a function

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I Fourier-transformed a bymbolic expression and turned it into a function, but cannot use real or imag functions for it. The error is: Incorrect number or types of inputs or outputs for function real.
syms x
f = 1/(1+28*1i)+28*1i/(x-1i);
f_FT = fourier(f);
f_ft = matlabFunction(f_FT);
R = real(f_ft);
I = imag(f_ft);

采纳的回答

Star Strider
Star Strider 2023-9-30
You are taking the real and imag parts of a function handle. It is necessary to evaluate the function handle first.
Try this —
syms x omega
f = 1/(1+8*1i)+8*1i/(x-1i);
f_FT = fourier(f, omega)
f_FT = 
f_ft = matlabFunction(f_FT)
f_ft = function_handle with value:
@(omega)pi.*dirac(omega).*(3.076923076923077e-2-2.461538461538462e-1i)+pi.*exp(omega).*(sign(omega)-1.0).*8.0
omegav = linspace(0, pi, 25);
ft = f_ft(omegav);
R = real(f_ft(omegav))
R = 1×25
Inf 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
I = imag(f_ft(omegav))
I = 1×25
-Inf 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
The presence of the term makes a plot essentially impossible.
.

更多回答(1 个)

Walter Roberson
Walter Roberson 2023-9-30
f_ft is a function handle. The only operations supported for function handles are copying, assignment, invocation, display, functions() which returns information.
You could take the real() of the symbolic expression and matlabFunction that, or you could invoke the handle on specific values and real() the result.
  1 个评论
Paul
Paul 2023-10-1
Before taking real() and imag() of the symbolic expression, the transform variable should be declared as real
syms x
f = 1/(1+28*1i)+28*1i/(x-1i);
f_FT = fourier(f)
f_FT = 
[real(f_FT) imag(f_FT)].'
ans = 
syms w real
[real(f_FT) imag(f_FT)].'
ans = 
But taking the matlabFunction at this point might not be useful because of the diracs.

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