I am trying to get a grip on mathematical meaning of signal to noise ratio (SNR) and signal to noise and distortion ratio (SINAD). What I found out is that in terms of power:




This is fine, but I found an article here that suggest that in terms of decibels when dealing with amplitudes they are as follows:




I can easily derive the SNR since power in terms of voltage and resistance is: $$P=\frac{V^2}{R}$$ So $$SNR_{dB}=10\text{log}_{10}\bigg(\frac{V^2_{signal}}{R}\frac{R}{V^2_{noise}}\bigg)$$



I can't however see how we can derive this for SINAD since we have the additional terms in the numerator. I have only just started to look at this so perhaps I am missing something crucial?

  • $\begingroup$ Minor comment to the post (v3): Please consider to mention explicitly author, title, etc. of link, so it is possible to reconstruct link in case of link rot. $\endgroup$ – Qmechanic Jun 20 at 13:40

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