What is the laplace function of bell-shape time function?
- posted
16 years ago
What is the laplace function of bell-shape time function?
Do you mean what is the Laplace transform of a Gaussian time function?
The _Fourier_ transform of a Gaussian is a Gaussian. You can probably, with effort, generalize that to a Laplace transform. Be careful -- there will be mathematicians waiting in the background, ready to excoriate you over some undotted 'i' or uncrossed 't'.
use Gaussian function, and its Laplace Transform is
e^(s^2/4)sqrt(pi)(1/2)erfc(s/2).
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