EE 456.3 Midterm: ee-456-2004-t1-midterm
Document Summary
Midterm examination, 5:oopm-7:00pm, october 25, 2004 ( 2 hours, closed book) All questions are of equal value (with part marks indicated) but not necessarily of equal difficulty. Full marks shall only be given to solutions that are properly explained and justified. The noise x ( t ) applied to a linear filter in figure 1 is modeled as a wide-sense stationary. 4 w s s ) random process with power spectral density gx( f ). Show that the frequency response of the filter in figure 1 is: [4] 0 if x ( t ) is a zero-mean, white noise process with power spectral density n 0 / 2 , find the power spectral density of the noise process y (t). Suppose that the output noise is sampled every ts seconds to obtain the noise samples y(kts), k = 0 , 1 , 2 , . Find the smallest values of ts so that the noise samples are uncorrelated.
