Question

e.) Find and sketch the PSD of V(t). What does the system in Fig. 1 do? Problem 4 (10 points, Graduate Students Only). Suppose X is a binary random variable, with PIX = ol = 0.8 and PIX = 1] = 0.2. Suppose Y is a Gaussian random variable conditioned on X. Specifically, when X 0, py)x (ulz) is a Gaussian distribution with 0 mean and variance σ2. Similarly, when X-1, prix(ylz) Is a Gaussian distribution with mean A (A > 0) and variance ơ2. Find the conditional probabilities PIX-011 X(t) V(t) 2cos(w,t+0 H,(u) -B H2(w) -B Figure 1: For Problem 3: Sxx (w) is the power density spectral of X(t), and wo» B.

Answer 1

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