Mathematica: NIntegrate data points

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SUMMARY

The discussion centers on normalizing a set of data points represented as (time, voltage) in Mathematica. The user seeks to find a factor C to multiply the voltage data so that the area under the curve equals 1. Niles suggests that instead of integrating, the user can simply sum the data points using the Apply[Plus, data] or Plus@@data functions. For those who still wish to integrate, constructing an interpolating function or fitting the data to a Gaussian is recommended.

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Niles
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Hi

I have a set of data points in units of (time, voltage), and they have the form of a Gaussian when I plot it. I would like to normalize my data set, i.e. find a factor C that I multiply on to the voltage-data such that the area is 1.

However, is there a way to numerically integrate data points in Mathematica?


Niles.
 
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Integration is probably overkill. I would just use:

Apply[Plus,data]

or equivalently:

Plus@@data

If you really want to integrate it then you need to construct an interpolating function object, specify the order of the interpolation and then integrate that. Alternatively, you could fit the data to a Gaussian and then use the integral of the fitted Gaussian.
 
Last edited:
Thanks. Yeah, I think integrating it is overkill. Your first suggestion works!Niles.
 

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