Issue of signal processing: first slope of tangetial derived vs?

Hello world

I have a question about a strain signal processing...

Do the terms of the "first derivative" and "tangential slope" essentially refers to the exact same property; It is the change in the strain (y) compared to the change in time (x) in a precise point in time...

I determined the rate of development of strains of calulating the first derivatives all points of data within segement signal of interest and obtained the average value dx/dt for the analysis... Is this the same as "means tangential slope? Or they the different?... My base, understand that they are one and the same... Could someone please confirm or correct this?

Any feedback is greatly appreciated.

Kind regards

Jack

The tangential slope of a curved line represents the slope of the tangent line to the curve at a point.  This can be calculated by taking the first derivative of the function and the evaluation to the point.  Yes, to all intents and purposes, "first derivative" and "tangential slope" refers to the same property.

I guess that the average tangential slope could be calculated by taking the average of the evaluated derivatives.  A quick Google search confirms this.  I am a physicist, not a guy from the DSP, so maybe my opinion is not correct.

You can also watch how you calculate your drift.  The default LabVIEW method is a simple calculation of two points which is very sensitive to noise.  If you have a fairly new version of LabVIEW, there included functions that calculate the Savitzky-Golay coefficients which you then use with the convolution filter to determine derivatives at each point. Savitzky-Golay method essentially computes a method of least squares adjustment to a polynomial to each point and takes the derivative of the polynomial.  This greatly reduces the noise.  Note that the coefficients Savitzky-Golay may be used to generate any order, provided you use enough points for the convolution.  The default value is an order of zero, or smoothing filter.  If your version of LabVIEW is not new enough to contain the Savitzky-Golay coefficient generator, you can do it yourself fairly easily.  A quick search on the internet for "Coefficients of Savitzky-Golay" should give you the formulas.

However, as you take the average of a lot of points if do you or not will depend on how much noise your data contains, how many points are your average, and how many resolution/precision you need.

Let us know if you have any other questions.

Tags: NI Software

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