## RIN spectrum vs RMS

Having problems ? let us know the details here
jcclq
Active User
Posts: 12
Joined: Thu Jul 22, 2021 1:05 pm

### RIN spectrum vs RMS

Hi

From the spectrum measured with AC coupling and imported, I apply a transformation to get the RIN spectrum of a signal of a DC average given as V_DC. First I convert the frequency to Hz and the ChA to V. I also extract the frequency spacing Df between each point of my spectrum. Then my RIN spectrum is (ChA/V_DC)^2 / Df.

To check if I am doing the right transformation, I sum up all the RIN spectrum values and I multiply by Df, like an integral. Then I square-root it and multiply by 100 to get the result in %.

By doing this and comparing with the RMS value calculated from 'AC RMS' in the signal window, divided by V_DC and multiplied by 100, I get something slightly different. Summing up the spectrum always gives a result about 1.3 times bigger than using the ratio 'AC RMS / V_DC'. I have tried on several spectra to be sure.

I could understand if I got a ratio of sqrt(2) or 2, but a ratio of about 1.3 is surprising. Am I doing anything wrong in the calculation of the RIN spectrum?

Thanks or any help or suggestion!

Best regards
JC
Attachments
dataset#1884.psdata