# Question

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

## Answer to relevant Questions

Is the following function a valid discrete- time autocorrelation function? Justify your answer. The input, X [k] , to a filter is a discrete- time zero- mean random process whose autocorrelation function is RYY [n] = δ [n]. The input/ output relationship of the filter is given by (a) Find the autocorrelation function ...A filter has a transfer function given by (a) Is this filter, lowpass, highpass, or bandpass? (b) Find the noise equivalent bandwidth of this filter. The input to a filter consists of a half- sinusoidal pulse plus zero- mean white Gaussian noise. (a) Suppose the impulse response of the filter is rectangular, h (t) = rect (t / ta). What should the width of the rectangle, ...The sum of two independent random processes with PSDs are input to a LTI filter. (a) Determine the Wiener smoothing filter. That is, find the impulse response of the filter that produces an output that is an MMSE estimate ...Post your question

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