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I have acceleration vibration signal containing 2500 data points. What I need to do is rectifying the signal becomes no negative values but still has same mean and standard deviation as the original signal as seen here in Fig 4. This need basically for calculating the rectified skewness of the signal.

my questions:

  1. How to rectify the vibration signal as my description?
  2. What is the formula for calculating rectified skewness?
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1 Answer 1

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What I need to do is rectifying the signal becomes no negative values but still has same mean and standard deviation as the original signal as seen here in Fig 4

You can't. If you rectify it the mean MUST change (unless the signal is all positive to start with). The paper does just a simple rectification and does NOT preserve mean or standard deviation.

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  • $\begingroup$ so how to do the rectification so the original data and the rectified one has the same amount of area under curve? $\endgroup$
    – dzdws
    Sep 16, 2021 at 13:04
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    $\begingroup$ What "curve" and what "area"? All PDFs have the same "area under the curve" which is 1. That's the whole point of a PDF. Do you mean the area under the signal itself? That would simply be the mean, which you cannot preserve by rectifying. $\endgroup$
    – Hilmar
    Sep 16, 2021 at 13:32

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