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First and second derivative of a signal by using splines

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Dear LabView users, I need to calculate first and second derivatives of a signal (experimental data acquired in function of time).

I ask you to confirm to me, that the piecewise polynomial as given by the Spline Interpolation 1D VI contains the coefficients of the polynomial 

a(x-xi)^3 + b(x-xi)^2 + c(x-xi) + d

and not the coefficient of the polynomial

ax^3 + bx^2 + cx + d

 

If so, c and 2b should be, respectively, the first and the second derivatives evaluated at the current point xi. 

 

Please, let me know if I am right. 


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