Computing signal to noise ratio (SNR) of two highly correlated time domain signals
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I'm working in the space of EEG acquisition. I made a experiment as detailed below, and am now trying to obtain some results from the data.
I have a text file of an EEG signal in Matlab. I loaded the EEG signal onto an arbitrary waveform generator, then I monitored and recorded the waveform generator output on an oscilloscope. I imported the recorded signal from the oscilloscope back into Matlab. The correlation between the original signal and the oscilloscope signal is 0.9958 (i.e. very high).
I want to compute the SNR of the oscilloscope signal (what I'm calling my signal plus whatever noise is introduced through the digital-to-analog conversion and visa-versa). I have attached a snippet of the 2 signals for reference.
So my original signal is X and oscilloscope signal is X + N. I used the snr function to compute SNR as follows.
snr(original, (oscilloscope - original))
The result I got was 20.44 dB. This seems off to me as I would have thought with such a high correlation, that the SNR should be much higher?
Or is it not appropriate to try and compute SNR in this sort of situation?
All help is appreciated.
Thanks
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