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How does Vrms of raw noise signal compare to power spectral density?

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Kevin
Kevin on 4 Dec 2014
Answered: Jeremy on 15 Dec 2014
I am using the method described in the link below to take my real world noise data, perform an fft on it, and change it into a power spectrum.
To verify that it's working properly, I'm trying to sum all points in the power spectrum and compare that number to the average power of the real, time based signal.
Is this the correct way of thinking about this problem? What do I need to do to get the results I need?
Thanks in advance.

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Answers (1)

Jeremy
Jeremy on 15 Dec 2014
The square root of the integral of the PSD will equal the rms amplitude of the original time history. The integral of the PSD is the sum of the PSD multiplied by the bin width, or just the sum if you are using 1 Hz bins.

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