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Just a shot in the dark, but could the confusion have arisen because you tried summing together two sine waves of the *same* frequency? To take Klystron's values:
RMS of sin(t) = .707
RMS of sin(t) = .707
sqrt(.5 + .5) = 1
However, actual RMS = 1.4142 (i.e. 2^(1/2); as you predicted)
Just an...
Re: RMS using matlab
Good question. Because they aren't the same?(?) Standard deviation gives the RMS of a signal's variation about the mean, rather than about 0. (Though for some signals - such as an infinitely long sine wave - this will be the same thing).
Re: RMS using matlab
hobgoblin gives: sqrt(sum(Power Spectral Density))
In my (limited) understanding, this is of course only true if you already have the signal in the frequency domain (e.g. u = fft(x))
I believe that in the time domain (e.g. x = sin(2 * pi * 100 * (1:n) / Fs) the RMS would...
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