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yeyongfeng Posted - 01/02/2024 : 04:25:55 AM
Origin Ver. and Service Release (Select Help-->About Origin): Originpro 2021
Operating System:windows 10

Hello,
I want to fit a such a function convoluted by 2 functions. This function contains a delta function δ(x)=1 when x=0 or δ(x)=0 when x≠0. I have no idea about how to construct such a function in NLFit tool.
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YimingChen Posted - 01/03/2024 : 09:40:56 AM
The app is to fit the convolution of a function and a response signal. In your case, you need to create a fitting function with the convolution of two functions. So you need to define a function with integral. Please refer to this tutorial page.
https://www.originlab.com/doc/en/Tutorials/Fitting-Integral-LabTalk

for the delta function, you can use
if(x=0, 1, 0)


Thank you
James
yeyongfeng Posted - 01/03/2024 : 01:06:41 AM
Much thanks for responses. The App FitConvolution seems help. But the question is that the App requires a analytical signal function or original function. How could I express the piecewise function i.e. the delta function?
snowli Posted - 01/02/2024 : 11:41:07 AM
Please check if this app helps
https://www.originlab.com/fileExchange/details.aspx?fid=423

We also have a blog on Fit Convolution
https://blog.originlab.com/fit-convolution

Thanks, Snow
yeyongfeng Posted - 01/02/2024 : 04:37:27 AM
S(x)=R(x)⨂[A0·δ(x)+A1·f(x)]+A2, I typed it. I have S(x) and R(x) now, and want to fit A0 to A2. f(x) is a lorentzian function.
yeyongfeng Posted - 01/02/2024 : 04:31:44 AM
I uploaded a image to show this function. Did I make it? Why can't I see it here?

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