Derivate a signal with staircase

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Stefano Massardi 2021-2-9

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评论： Stefano Massardi 2021-2-9

Hi everyone

I have a signal like this, the sampling rate is low then i get the signal with a staircase.

The problem is that i want to derive it. 2 times! If i derive this signal i get a very bad derivative of course, and more the 2nd derivative.

I tryed to make it smoother with a simple cubic spline but i always have a bad derivate signal.

Any idea on how to make it smooth and well derivable?

Thanks!!!

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Jan 2021-2-9

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A Savitzki-Golay-filter might be sufficient for your data: The local neighborbood is approximated by a polynomial, such that the derivatives are easy to calculate:

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Stefano Massardi 2021-2-9

It gives me something like this. many samples are actually replicated in the horizontal part, i dont' know if this influences

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