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 2023bSR1: cross-correlation function of 2 signals		  New Topic  Reply to Topic
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AKazak

Russia
1205 Posts
Posted - 06/19/2023 :  05:47:53 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
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
Edited by - AKazak on 06/19/2023 05:49:08 AM

YimingChen

1593 Posts
Posted - 06/19/2023 :  09:08:15 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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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AKazak

Russia
1205 Posts
Posted - 06/19/2023 :  09:30:42 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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.

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Andrey
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YimingChen

1593 Posts
Posted - 06/19/2023 :  2:38:10 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
You could try the optimization solver app.
https://www.originlab.com/FileExchange/details.aspx?fid=592

Can you share your data file here?

James
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AKazak

Russia
1205 Posts
Posted - 06/20/2023 :  01:50:50 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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

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Andrey
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YimingChen

1593 Posts
Posted - 06/20/2023 :  11:40:14 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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
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AKazak

Russia
1205 Posts
Posted - 06/20/2023 :  1:02:10 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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
Edited by - AKazak on 06/20/2023 1:02:28 PM
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YimingChen

1593 Posts
Posted - 06/20/2023 :  2:06:01 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
See the attached project file.

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

Russia
1205 Posts
Posted - 06/20/2023 :  2:23:29 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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?



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Andrey
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YimingChen

1593 Posts
Posted - 06/20/2023 :  3:17:36 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
To my knowledge, Origin doesn't have this functionality.
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AKazak

Russia
1205 Posts
Posted - 06/20/2023 :  11:17:14 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
quote:
Originally posted by YimingChen

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


Dear James,

Got it.
Thank you.

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Andrey
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