ECE 4601 Quiz: ECE 4601 GT QuizFall2010
15 Feb 2019
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1: random processes: suppose that x(t) and y (t) are wide-sense stationary ran- dom processes with means x and y , autocorrelation functions xx( ) and. Y y ( ), power spectral densities xx (f ) and y y (f ), cross-correlation function. X y ( ) and cross power spectral density x y (f ). Z(t) = x(t) + y (t: 4 marks: derive an expression for the autocorrelation function of z(t) in terms of. What is the autocorre- lation function of z(t): 2 marks: suppose further that x(t) and y (t) are uncorrelated and x = y = 0. 2: matched filters: consider the two pulses g1(t) and g2(t) shown below. g1(t) g2(t) T /2 t: 5 marks determine and sketch the corresponding matched lters h1(t) and h2(t), 5 marks sketch the outputs of the two matched lters when the pulse g1(t) is applied at their input.
