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Signal to Noise Ratio

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WaldoMcFroog | 14:32 Wed 09th Nov 2005 | Technology
4 Answers

I have a formula to work out signal to noise ratios:


S/N = 20 log10(Vs/Vn)


Where Vs=the incoming signal strength
and Vn=the noise level
both in microvolts.


Assuming Vs=10, Vn=1, I want to work this out using Excel. However, I'm not sure what the syntax of the equation is telling me!


Am I multiplying 20 by the result of log10(Vs/Vn) or
am I multiplying 20 log10 by the result of (Vs/Vn)?


Any assistance gratefully received!

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I think it's the first one, as that follows standard notation for a log equation. But, i'd let someone else confirm this. Maybe post in Science too.
The '10' in the formula is simply the base of the logarithms. It should be written as a suffix. See here:
http://en.wikipedia.org/wiki/Signal-to-noise_ratio

To use the formula, divide Vs by Vn. Take the log of the result. (The '10' just tells you to use the 'log' key on your calculator -which gives logs to the base 10 - rather than the 'ln' key which gives logarithms to the base e). Now multiply by 20.

(I don't use Excel but I hope that you can work out the way to do it from this information. Meanwhile, I'll take a look at Excel and post again if I come up with anything useful).

Chris
The Excel formula would be exactly as you wrote in the question... =20*LOG10(A1/B1)
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That's really helpful! Many thanks for your responses!

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