Calculate GRMS from a narrow band PSD curve

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Sud Mudiyanselage
编辑： Sud Mudiyanselage 2024-9-3
H I have PSD values extracted from a narrowband PSD curve, PSD (amplitudes) & Freqeuncy values stored as a array values, generated using plwech function. PSD are G^2/Hz), The whole profile for 20 seconds run would look like below got over 60,000 PSD values. i have a set of data selected from it below.
PSD = [ 0.000250 0.000250 0.000249 0.000248 0.000247 0.000246 0.000245 0.000244 0.000242 0.000241 0.00023];
Freq = [ 0.949 0.999 1.049 1.099 1.149 1.199 1.249 1.299 1.349 1.399 1.449];
How can i calculate GRMS ?

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Dheeraj
Dheeraj 2024-9-3
Hi Sud Mudiyanselage,
To calculate from the given Power Spectral Density data, please follow the below steps
  1. Calculate Frequency resolution between each frequency bin. Since the bins have non-uniform spacing calculate average frequency resolution.
  2. Use the formula, to calculate . where ​ is the power spectral density at the i-th frequency bin and is the frequency resolution.
Here is an example to do the same:
deltaF = mean(diff(Freq)); %mean frequency resolution
G_RMS = sqrt(sum(PSD * deltaF));
Thank you.

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