| T O P I C R E V I E W |
| kaghdami |
Posted - 05/10/2020 : 08:26:55 AM
Origin Ver. and Service Release (Select Help-->About Origin): OriginPro 2020b (64-bit) 9.7.5.184
Operating System:win10
Hi
I need to fit data to two Gaussian function which subtracted each other as I sent by image. The function should be like:
y=y0 + A1/(w1*sqrt(pi/(4*log(2)))) * exp(-4*log(2)*(x-xc1).^2/w1^2) - A2/(w2*sqrt(pi/(4*log(2)))) * exp(-4*log(2)*(x-xc2).^2/w2^2)
I define all parameters, But I could not manage to have a converge Fit.
Please kindly help me for this
Regards,
Keivan
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| 2 L A T E S T R E P L I E S (Newest First) |
| kaghdami |
Posted - 05/18/2020 : 4:36:44 PM
Hi
Thank you for fitting the data with superposition of 2 Gaussian curve.
But the problem is, according to my theory the data should be a subtraction of a small Gaussian from the envelop big Gaussian curve like I demonstrate in the fig below
the blue curve should be decomposed to two Gaussian curve one big (red curve) and one small (Yellow). then the formula like
y=y0 + A1/(w1*sqrt(pi/(4*log(2)))) * exp(-4*log(2)*(x-xc1).^2/w1^2) - A2/(w2*sqrt(pi/(4*log(2)))) * exp(-4*log(2)*(x-xc2).^2/w2^2)
where there is a minus sign between Gaussian profiles.
Then I need a customized fit not the two peak normal fitting.
Thank you in advance
Keivan |
| cc261 |
Posted - 05/10/2020 : 10:39:06 PM
Hi, please refer to the result below, which just based on some (not all) data extracted from your chart:
Root of Mean Square Error (RMSE): 0.00583565773177599
Sum of Squared Residual: 0.00255411758718276
Correlation Coef. (R): 0.993496887597805
R-Square: 0.987036065666525
Adjusted R-Square: 0.986675956379484
Parameter Best Estimate
---------- -------------
xc1 1551.48125439812
xc2 1552.42270091388
y0 -0.0122568156078516
a1 -0.117185964801416
w1 -0.385100852916404
a2 0.0742883583748268
w2 -0.427476518785693
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