The following question refer to wide sense stationary stochastic process:

The parameters of the system obtained in Q. 12 would be

The following question refer to wide sense stationary stochastic process:

It is desired to generate a stochastic process (as voltage process) with power spectral density

$$$S\left( \omega \right) = {{16} \over {16 + {\omega ^2}}}$$$

By driving a Linear-Time-Invariant system by zero mean white noise (as voltage process) with power spectral density being constant equal to 1. The system which can perform the desired task could be

An output of a communication channel is a random variable 'V' with the probability density function as shown in the figure. The mean square value of 'V' is

Noise with uniform power spectral density of N₀ W/Hz is passed through a filter H(ω ) = 2exp (-jωt_d) followed by an ideal low pass filter of bandwidth B Hz. The output noise power in Watts is