Gaussian noise with different SNR levels are usually used in research works to simulate a realistic environment. How can researchers guarantee that Gaussian noise can simulate the reality of a System?
Answer
Gaussian is a very good assumption for every process or system that's subject to the Central Limit Theorem. See http://en.wikipedia.org/wiki/Central_limit_theorem
What this means is that when gaussian random variables are added, the result is gaussian (so you can apply similar statistics after the addition as were before), and besides that, when any random variables (that have finite variance, so Cauchy r.v. does not apply) are added, they tend to become more gaussian in their p.d.f. as you add 'em up.
What's also very cool about the "normalized" gaussian function, e−πt2 is that its Fourier transform is exactly the same: F{e−πt2}=e−πf2
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