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Unformatted text preview: Consider the random process W ( t ) = Xcos (2 f t ) + Y sin (2 f t ) where X and Y are uncorrelated random variables each with expected value and variance 2 . Find the autocorrelation R W ( t, ) . Is W ( t ) wide sense stationary? Problem 5 X ( t ) is a wide sense stationary random process with average power equal to 1 . Let denote a random variable with uniform distribution over [0 , 2 ] . such that X ( t ) and are independent. a) What is E [ X 2 ( t )] ? b) What is E [ cos (2 f c t + )] ? c) Let Y ( t ) = X ( t ) cos (2 f c t + ) . What is E [ Y ( t )] ? d) What is the average power of Y ( t ) ?...
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- Spring '07