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Calculating Signal to Noise Ratio (SNR) from measured noisy data

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hfj1010

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Dear all,

Thanks for noticing this post which might be a stupid question...:roll:

I have measured a series of data (let's say S1) from an oscilloscope which contains the voltage output from a thermal sensor. Since I need to estimate the signal to noise ratio of the measured data, I have to work out what is the signal power and the noise power.

As far as I know, the signal power P_signal = (Vrms_signal)^2, P_noise = (Vrms_noise)^2 if we assuming the resistance is 1 ohm. Since the data contains both the signal and noise, is there any way of calculating the P_signal and P_noise from the data directly?

If not, I think I may need to measure the new data from the sensor containing only the noise (S2), then I can simply work out the P_noise from this data by its RMS value. Then, by subtracting the P_signal+noise calculated from S1 and P_noise calculate from S2, I can obtain the P_signal, then get SNR = 10*log10(P_signal/P_noise).

Am I correct and is there any other way of doing the SNR calculation from a series measured data?
 

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