Fitting real data curve to a homogeneous diff

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Hello! I measured accelerations with matlab Mobile and I encountered the problem that the time step was not homogeneous and therefore the measured frequency. Therefore, I created a homogeneous diff (blue curve) and I would like to find a code in MATLAB that adapts the measured function with the real values (red curve) to that homogeneous time increment.
I attach a picture of the problem.

Accepted Answer

Star Strider
Star Strider on 16 May 2023
I am not certain from your description what you want to do. However if you have the Signal Processing Toolbox, the resample function coukld be appropriate. (It is preferable to interp1 for singal processing applications.)
Star Strider
Star Strider on 28 May 2023
I would appreciate it if you would accept my answer.
I actually use the most common frequency, that I derive from the differences in the sampling intervals. I use mean, I also could have used mode.
I notice the the code you posted uses ‘fs’ to define ‘dt’ without first defining ‘fs’. I have no idea how you define ‘fs’.
I also use resample instead of interp1 because resample uses an anti-aliasing filter. This is important for signal processing applications, and signal processing is apprarently what you want to do.
The resample function also has the 'spline' option as an interpolation method. I rarely use it (preferring 'pchip') because it can give some wildly varying results.

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