# Question: The narrowband noise process is passed through the system shown

The narrowband noise process is passed through the system shown in the accompanying figure. In the system, the LPF has a bandwidth which is large compared to B but small compared to fo.

(a) Show that the output of the system is proportional to | GN (t)| 2, where GN (t) is the complex envelope of N (t).

(b) Find and sketch the autocorrelation function of the output of the system.

(a) Show that the output of the system is proportional to | GN (t)| 2, where GN (t) is the complex envelope of N (t).

(b) Find and sketch the autocorrelation function of the output of the system.

## Answer to relevant Questions

We are given a number of darts. Suppose it is known that each time we throw a dart at a target, we have a probability of 1/4 of hitting the target. An experiment consists of throwing three darts at the target and observing ...Let Z (t) be a zero- mean, stationary, narrowband process whose I and Q components are X (t) and Y (t), respectively. Show that the complex envelope, GZ (t) = X (t) + jY (t), satisfies E [GZ (t) GZ (t + τ)] = 0. The power spectrum at the input to an ideal BPF is Let the transfer function for the ideal BPF be Determine the autocorrelation function of the output. You may have to make a reasonable approximation to obtain a simplified ...Suppose the random variable has an exponential distribution, fX (x) = exp (– x) u (x). We wish to estimate the probability of the event A = {X >xo} via simulation. We will compare the standard Monte Carlo estimate, Where ...Suppose we wish to generate a 10- ms realization of a zero- mean Gaussian random process with a PSD of (a) Find the bandwidth that contains 99% of the total power in the random process. (b) Determine how many frequency ...Post your question