ee302hw7fa09

# ee302hw7fa09 - ECE302 Homework#7 Assigned Due(by 4:30 in...

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i 1 2 1 2 1 2 Hint: Hint: | ECE302 Homework #7 A B A B X X X X X t X t ,X t X t X t ,X t K t K t ,K t K K K K N t N t 2 2 1 2 ( ) ( ) ( ) 1 2 1 2 1 2 1 2 ( ) ( ) ( ) 1 2 1 2 ( ) ( ) ( ) 1 2 1 2 2 1 2 2 1 1 2 1 2 1 2 1 1 2 ( ) ( ) ( ) = + ( ) ( ) ( ) ( ) ( ) ( ) ( )? ( ) ( ) = ) ( ) ( ) = )? ( ) ( ) = ) ( ) 0 ( ) ) ( ) ( ) ( ) = ) Pr ( ( ) = ( ) = ) = Pr ( ( ) = ) 0 ( ) ( ) ( ) ( )? ( ) ( ) X t At B, < t < , A B f a f b A B, X t . m t R t , t X t m R f x , f x , x t t . A B X t X t t t f x , f x , x t t K t , t , K t t . K t . p k p k , k t t . t > t K t k K t k K t t k k k k . m t R t , t . K t m R p n p n Assigned 12/2/09, Due 12/11/09 (by 4:30 in dropbox in MSEE 330) 1. Let where and are independent random variables, with pdfs and ,means and and variances and , respectively. (a) Sketch some sample functions of (b) Find the mean function and the correlation function (c) Is wide-sense stationary? If so,what is and (d) Find the pdf and the joint pdf (for (e) Suppose and are Gaussian. Are and jointly Gaussian (for Find the pdf and the joint pdf (for in this case
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