Find the PSD for a process for which RXX (τ) = 1 t for all τ.
Answer to relevant QuestionsSuppose X (t) is a stationary zero- mean Gaussian random process with PSD, SXX (f). (a) Find Y (t) = X2 (t) the PSD of in terms of SXX (f). (b) Sketch the resulting PSD if SXX (f) = rect (f /2B). (c) Is WSS? If the inputs to two linear filters h1 (t) and h2 (t) and X1 (t) and X2 (t), respectively, show that the cross- correlation between the outputs Y1 (t) and Y2 (t) of the two filters is A certain LTI system has an input/ output relationship given by (a) Find the output autocorrelation, RYY (τ), in terms of the input autocorrelation, RXX (τ). (b) Find the output PSD, SYY (τ), in terms of the input PSD, ...Suppose a filter has a transfer function given by H (f) = sinc2 (f). Find the noise equivalent bandwidth of the filter. 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 ...
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