The unit impulse response of a discrete linear filter is h [n] = anu [n], where |a| < 1. The autocorrelation function for the input random sequence is
Determine the cross- correlation function between the input and output random sequences.
Answer to relevant QuestionsFind the PSD of a discrete random sequence with the following autocorrelation function: RXX [k] = a (b |k|) where b < 1. Determine the noise equivalent bandwidth for a filter with impulse response h (t) = bexp(– at) u (t) For the high- pass RC network shown, let X (t) = A sin (ω ct + θ) + N (t), where is white, WSS, Gaussian noise and θ is a random variable uniformly distributed over [0, 2π]. Assuming zero initial conditions: (a) Find ...A known deterministic signal, s (t), plus colored (not white) noise; N (t), with a PSD of SNN (f) is input to a filter. Derive the form of the filter that maximizes the SNR at the output of the filter at time t = to. To make ...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 ...
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