Communications ...

A stationary zero-mean random process X(t) is ergodic which has an average power of 24 W and has no periodic component. The valid autocorrelation function is

Which of the following statement is not true:

The power spectral density of a deterministic signal is given by \({\left( {\frac{{\sin {\rm{f}}}}{{\rm{f}}}} \right)^2}\) where f is frequency. The auto correlation function of this signal in the time domain is

Consider the two independent random variables X and Y. X has a uniform distribution over -1 ≤ x ≤ 1 and that Y̅ = 2 and Y̅² = 6. Now, a random process v(t) is defined as Z(t) = (Y + 3Xt)t

A message signal m(t) has a bandwidth of 10 kHz. It is desired to transmit this message to a destination via a channel with 80 dB attention and AWGN with PSD \({S_n}\left( f \right) = \frac{{{N_0}}}{2} = {10^{ - 12}}\frac{W}{{Hz}}\)and achieve SNR at the modulator output of at least 50 dB. What is the required transmitted power (in kilo watts) if the modulation used is DSB-AM

Let X(t) be a white Gaussian noise with two sided PSD \({S_X}\left( f \right) = \frac{{No}}{2}\)

 Assume x(t) is input to an LTI system with impulse response

h(t) = e^-t u(t)