ratio1 = 25; ratio2 = ratio1/4;
mu1 = 7.5; FWHM1 = 60; sigma1 = FWHM1/(2*sqrt(2*log(2))); w1 = -100:100; p1 = -.5 * ((w1 - mu1)/sigma1) .^ 2; p2 = (sigma1 * sqrt(2*pi)); gauss1 = ratio1*exp(p1) ./ p2;
mu2 = -7.5; FWHM2 = 55; sigma2 = FWHM2/(2*sqrt(2*log(2))); w2 = -100:100; p3 = -.5 * ((w2 - mu2)/sigma2) .^ 2; p4 = (sigma2 * sqrt(2*pi)); gauss2 = ratio2*exp(p3) ./ p4;
hold all plot(w1,gauss1); hold all plot(w2,gauss2); hold all grid on
How can I sum two distribution to obtain a plot representing the sum of two gaussian distributions?
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If you literally want the sum (as opposed to some kind of joint probability), you can just add the two:
You can do that here because you calculated gauss1 and gauss2 over the same range.