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Derivative of experimental data

Gabriel,   I have had good results for a similar problem using the methods described in the link below.

The algorithm described above can be implemented very efficiently with ListConvolve 

For the system I analyzed, the system has a 24 hour period and measurements are recorded every minute.  While the general trend of the data was clear to a human observer, the data was noisy and the analysis required estimates of the derivative of the data.  In this case I used N = 51 (i.e. 25 data points on either side of the time of interest).  

Best Regards,


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