How can I plot laplace transformed functions?
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How can I plot laplace transformed functions? Since the function should be imaginary I can not use fplot, can I? For example, how would I plot this:
syms x
f = sin(x);
l = laplace(f);
Thanks in advance.
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Paul
le 29 Nov 2021
syms x
f = sin(x);
l = laplace(f)
l is a function of complex variable, s. So it depend on what kind of plot you want to make.
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Star Strider
le 29 Nov 2021
It might be easier to do this outside the Symbolic Math Toolbox.
That aside, try this —
syms x s js rs sigma omega
f = sin(x);
l = laplace(f)
lc(sigma,omega) = subs(l,{s},{sigma+1j*omega}) % Define As Complex, With Complex Arguments
figure
fsurf(lc, [ -0.1 0 -2*pi 2*pi ], 'MeshDensity',125)
xlabel('\sigma')
ylabel('\omega')
set(gca, 'YTick',[-2*pi : pi/2 : 2*pi], 'YTickLabel',compose('%.1f\\pi',(-2:0.5:2)))
axis([-0.1 0.1 -2*pi 2*pi])
Plotting it in two dimensions is of course an option, however the function has three dimensions (,amplitude) so a three-dimensional plot is appropriate. The two complex-conjugate poles at are clearly visible.
.
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