iVenky
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Can you find the fourier transform for all laplace transforms? I know that we have to substitute s=jw to find out the laplace transform. What I mean is can you do that for all Laplace transforms or is there any specific condition that it should satify to convert the laplace transform to fourier transform?
For eg: I saw this question-
The Laplace transform of a continuous-time signal x(t) is
\[
X(s)=\frac{5-s}{s^2-s-2}
\].
If the Fourier transform of the signal exists, then x(t) is ?
I get the answer as
e2tu(t) - 2e-tu(t)
but the answer that was given is
-e2tu(-t) - 2e-tu(t)
Help me out
- - - Updated - - -
I think I got it. It's because of the ROC thing
- - - Updated - - -
I mean in that first case it won't converge
For eg: I saw this question-
The Laplace transform of a continuous-time signal x(t) is
\[
X(s)=\frac{5-s}{s^2-s-2}
\].
If the Fourier transform of the signal exists, then x(t) is ?
I get the answer as
e2tu(t) - 2e-tu(t)
but the answer that was given is
-e2tu(-t) - 2e-tu(t)
Help me out
- - - Updated - - -
I think I got it. It's because of the ROC thing
- - - Updated - - -
I mean in that first case it won't converge
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