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Computing a local smoothed numerical integration of a data set

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Hello,
I have a data set (pitch rate q_a) shown in blue. Using a standard SIDPAC code, I computed a local smoothed numerical time derivative (q_deriv in red). What command/code can help me recover the original data set q from q_deriv?

Risposta accettata

Jan
Jan il 10 Mar 2014
Modificato: Jan il 10 Mar 2014
You cannot obtain the original signal from the smoothed one. The smoothing destroys the noise information.

Più risposte (1)

Deepayan Bhadra
Deepayan Bhadra il 10 Mar 2014
Hello Jan,
Say I calculate the numerical derivative without smoothing. Is there any method in that case?
  1 Commento
Jan
Jan il 10 Mar 2014
Modificato: Jan il 10 Mar 2014
Looks a a small example:
x = [9, 10]
Now calculate the derivative:
d = 1;
Finally a recontruction of the original signal is not possible, obviously.
But if you store the first value in addition, the reconstruction works again.

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