Question: 7. (15 points) Suppose N (t) is a WSS Gaussian white noise stochastic process with E(N(t)) and RNN(T) q(T). Consider two (deterministic) pulses (t)

7. (15 points) Suppose N (t) is a WSS Gaussian white noise

7. (15 points) Suppose N (t) is a WSS Gaussian white noise stochastic process with E(N(t)) and RNN(T) q(T). Consider two (deterministic) pulses (t) and P2(t) such that Pi(t) # O only when O t T, i 1, 2. JOT JOT 0, that is (t) and P2(t) are orthogonal. Consider Ni(t) = J (a) Find (b) Find (c) Find (d) Now we set t T. Find the joint distribution of NI(T) and N2(T).

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