Use the minimum probability of error criterion assume that

Question

Question: Design a receiver to choose between the hypotheses

H₁: z(t) = y₁(t) + v(t)

H₀: z(t) = y₀(t) + v(t)

if the signals Y1(t) and y0(t) are as shown in Fig. Use the minimum probability of error criterion. Assume that vet) is zero mean white Gaussian with spectral density No 12. Plot the probability of error as a function of 2?/N0. Assume equal prior probabilities for the two hypotheses.