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Unformatted text preview: 11. Papoulis 9-37 (10-37 in 3rd edition). 12. Papoulis 9-39 (10-39 in 3rd edition). 13. Papoulis 9-42 (10-42 in 3rd edition). 14. Let X ( t ) and Y ( t ) be two real, independent, wide-sense stationary random processes dened on a random experiment. Let Z ( t ) be a new random process dened as Z ( t ) = X ( t ) Y ( t ) . Under what conditions is Z ( t ) WSS? 1 15. Let X ( t ) is given by X ( t ) = cos ( o t +) , where is a random variable uniformly distributed on the interval [0 , 2 ) and Y ( t ) is a wide-sense stationary random process with autocorrelation function R Y ( ) = e- | | , where is a positive constant. Assume X ( t ) and Y ( t ) are statistically independent. Let Z ( t ) = X ( t ) Y ( t ) . Find the power spectral density of Z ( t ). 2...
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- Spring '08