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They are the same if the product of df of the spectrum and ENBW of the time-domain window equals 1.
Ok, thank you for all your answers.
One last question: my actual signal is in g rms²/Hz
If I want it in g/rtHz, I have to do:
( g rms²/Hz ) ^(1/2) ?
Or is it more complicated?
Exactly, for all bins, take the square root.
For spectra in dB units, convert to linear scale before square root.
Okay, thank you for all your answers. I will look how to do that.
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