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 2023bSR1: cross-correlation function of 2 signals

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T O P I C    R E V I E W
AKazak Posted - 06/19/2023 : 05:47:53 AM
OriginPro 2023b (64-bit) SR1 10.0.5.157
Windows 10 Pro for Workstations 22H2 19045.3086

Greetings!

What Origin tool can I use to find the optimal linear transform parameters (y = kx + b) to match a given pair of signals (see an example below)?



---
Andrey
10   L A T E S T    R E P L I E S    (Newest First)
AKazak Posted - 06/20/2023 : 11:17:14 PM
quote:
Originally posted by YimingChen

To my knowledge, Origin doesn't have this functionality.



Dear James,

Got it.
Thank you.

---
Andrey
YimingChen Posted - 06/20/2023 : 3:17:36 PM
To my knowledge, Origin doesn't have this functionality.

AKazak Posted - 06/20/2023 : 2:23:29 PM
quote:
Originally posted by YimingChen

See the attached project file.

https://my.originlab.com/ftp/forum_and_kbase/Images/2023-06-20_v2.opju




Dear James,

Works perfectly!
Now I see the principle of operation.
Thank you.

BTW, does Origin have the functions similar to those provided by Optimization Solver app?



---
Andrey
YimingChen Posted - 06/20/2023 : 2:06:01 PM
See the attached project file.

https://my.originlab.com/ftp/forum_and_kbase/Images/2023-06-20_v2.opju

AKazak Posted - 06/20/2023 : 1:02:10 PM
quote:
Originally posted by YimingChen

Please check the attached project file and the settings of the app. By checking your data, the k value can be set to -1, then just need to find the offset b. Please also check the column formula of col(H).
https://my.originlab.com/ftp/forum_and_kbase/Images/2023-06-20_v1.opju



James




Dear James,

Is this possible to optimize both parameters k and b?
I realize that k is negative, but not sure that it is equal to -1...

---
Andrey
YimingChen Posted - 06/20/2023 : 11:40:14 AM
Please check the attached project file and the settings of the app. By checking your data, the k value can be set to -1, then just need to find the offset b. Please also check the column formula of col(H).
https://my.originlab.com/ftp/forum_and_kbase/Images/2023-06-20_v1.opju



James
AKazak Posted - 06/20/2023 : 01:50:50 AM
quote:
Originally posted by YimingChen

You could try the optimization solver app.
https://www.originlab.com/FileExchange/details.aspx?fid=592

Can you share your data file here?

James



Dear James,

Here your are:
https://my.originlab.com/ftp/forum_and_kbase/Images/2023-06-20.opju

---
Andrey
YimingChen Posted - 06/19/2023 : 2:38:10 PM
You could try the optimization solver app.
https://www.originlab.com/FileExchange/details.aspx?fid=592

Can you share your data file here?

James
AKazak Posted - 06/19/2023 : 09:30:42 AM
quote:
Originally posted by YimingChen

If the x values of the two signals are the same, you can perform linear regression of sig2 to sig1?

James



Dear James,

X-coordinates are not the same.
In fact the task is to find k and b – the parameters of the linear transformation of the X.

---
Andrey
YimingChen Posted - 06/19/2023 : 09:08:15 AM
If the x values of the two signals are the same, you can perform linear regression of sig2 to sig1?

James

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