Laplace function of bell-shape time function

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What is the laplace function of bell-shape time function?

Re: Laplace function of bell-shape time function



sofin wrote:

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'.

--

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com

Do you need to implement control loops in software?
"Applied Control Theory for Embedded Systems" gives you just what it says.
See details at http://www.wescottdesign.com/actfes/actfes.html

Re: Laplace function of bell-shape time function



use Gaussian function, and its Laplace Transform is


e^(s^2/4)sqrt(pi)(1/2)erfc(s/2).


On 4$B7n(B10$BF|(B, $B2<8a(B12$B;~(B10$BJ,(B, Tim Wescott


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