AWGN The effective noise content of bandpass noise is BNo Experimental measurements show that the pdf of the noise samples can be modeled as zero mean gaussian random variable f(r) x2/2 e 2丌o AKA Normal r V, N(0, 04) E BN The cdf of a gaussian rv F(a)=PX≤]=f(xtx e ∞y2兀o This integral requires numerical evaluation Available in tablesσ σ f x () AWGN • The effective noise content of bandpass noise is BNo – Experimental measurements show that the pdf of the noise samples can be modeled as zero mean gaussian random variable x () = 2πσ 1 e− x 2 / 2σ2 – AKA Normal r.v., N(0,σ2) – σ2 = Px = BNo • The CDF of a Gaussian R.V., α α Fx α = P[X ≤ α] = ∫−∞ fx (x)dx = ∫−∞ 2πσ 1 e− x 2 / 2σ2 dx • This integral requires numerical evaluation – Available in tables Eytan Modiano Slide 6