I have the simulated signal of an MRI measurement distorted with Gaussian noise of mean value = mean signal magnitude and sd = 1% of mean signal magnitude.

How can I calculate the SNR? I think that SNR=mean signal/sd of Gaussian noise = e.g. 100/1 = 100. Is it a correct way? Could you recommend some source?


Standard deviation (SD) and RMS are related and, to quote wiki: -

Standard deviation being the root mean square of a signal's variation about the mean

So now you have the RMS value of the noise and SNR is signal/noise (both RMS terms).


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