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bourricot34

Falkland Islands
1 Posts
Posted - 03/29/2010 :  07:39:54 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Dear all,

I am using the non linear fit tool to fit my curve with a Gaussian. The model is y=y0 + (A/(w*sqrt(PI/2)))*exp(-2*((x-xc)/w)^2.

My question is what is w ? Is it the value at 1/e or 1/e ?

Many thanks in advance,
PS: I am using Origin 8 SR2.
David



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HuangZY

10 Posts
Posted - 03/29/2010 :  08:53:34 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
It's a value related to "full width at half maximum", see
http://mathworld.wolfram.com/GaussianFunction.html
for the deducing process
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larry_lan

China
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Posted - 03/29/2010 :  10:35:17 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
It means "2 sigma" if the curve follows Gaussian distribution. I have updated the sample curve as below. I don't remember we did the update from which build, maybe user can update to SR6 to see the new sample curve.

You can see from derived parameter that: FWHM = 2*sqrt(ln(4))*sigma = 2.3548*sigma = 1.1774*w



Larry
Edited by - larry_lan on 03/29/2010 10:47:31 AM
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