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.
2 个评论
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.
采纳的回答
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.
,amplitude) so a three-dimensional plot is appropriate. The two complex-conjugate poles at are clearly visible. .
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