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 Gaussian Convolution with Integral

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T O P I C    R E V I E W
zubson1 Posted - 11/10/2012 : 10:19:53 AM
Origin Ver. and Service Release: OriginPro 8.5.0 SR1
Operating System: Windows 7 Ultimate 64bit

I have problem with fitting.
It is something like script "fitting with convolution" from HELP, but I need to use 2 independent variables.

I have from survey two columns: A(x) and B(y)

Function which I have to fitted is:
y=integral[(A*(x-Eth)^1.35)*(exp(-((x-xc)^2)/(2w^2))]

so first part is normal function with 2 parameters: A and Eth
second is exponential (gaussAmp) with parameter: w and TWO independent variables: x and xc

so I must generate many gausses for every x = its name convolution with blur or something like that

generally x is from 10 to 20, its 101 points, dx=0.1
xc must the same: from 10 to 20, dxc=0.1

How can I made this fitting in origin?
I have tried to do this throught few days, but now I have no ideas.

I will be grateful for any help and tips.
2   L A T E S T    R E P L I E S    (Newest First)
Penn Posted - 11/14/2012 : 8:27:35 PM
Hi,

From the function you provided, there is no integration variable. It should be x or xc? If true, maybe fitting with integral will meet your requirement, then no need fitting with convolution. Could you please provide the full fitting function, together with the integration variable?

Penn
zubson1 Posted - 11/11/2012 : 08:10:09 AM
Look this:
http://mathworld.wolfram.com/Convolution.html

it is very good visualisation what I need.

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