A discrete random sequence is the input to a discrete linear filter h [n]. The output is Y [n]. Let Z [n] = X [n+ i] – Y [n]. Find E [Z2 [n]], in terms of the autocorrelation functions for X [n] and Y [n].and the cross- correlation function between X [n] and Y [n].
Answer to relevant QuestionsThe 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 ...The input to a filter is a discrete- time, zero- mean, random process whose autocorrelation function is RXX [n] = | a | n, for some constant a such that |a| Suppose a filter has a transfer function given by H (f) = sinc2 (f). Find the noise equivalent bandwidth of the filter. Find the impulse response and transfer function of a filter matched to a triangular waveform as shown in the accompanying figure when the noise is stationary and white with a power spectrum of No / 2. The PSD of a narrowband Gaussian noise process, N (t), is as shown in the accompanying figure. (a) Find and sketch the PSD of the I and Q components of the narrowband noise process. (b) Find and sketch the cross- spectral ...
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