How to fix a discontinuity through interpolation
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Good morning everyone,
I am trying to find an interpolation method that helps me avoid a discontinuity. In Particular, i made a lookup table periodic (from -180 to 180) using a wrapTo180 function. The plot i obtain is this:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/808039/image.jpeg)
The only problem i have is at 180 (and 180 + 2pi and so on). In this particular point the plot has a discontinuity.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/808044/image.jpeg)
Would it be possible to make the function continuous in C1 interpolating the values that come out of the lookup table? I'd basically like to obtain the same diagram, without the knee.
Thank you in advace for the help.
6 Comments
Walter Roberson
on 22 Nov 2021
If I understand correctly, you have a lookup table, and you currently have a problem because the table data on the two sides of the wrap has a single-point jump but also the table data on the two sides of the wrap has angles.
On that basis, I proposed a way for you to smooth out the data that you put into your lookup table. You are getting data from somewhere to put into your lookup table, and I am suggesting just fiddling with that data a little once so that every time after that the problem does not occur.
J. Alex Lee
on 23 Nov 2021
I wonder how many terms in a Fourier series it would take to fit that well...
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