ee302hw7fa09

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

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i 12 Hint: Hint: ±∞ 6 6 6 ² 6 ± ² ² ECE302 Homework #7 AB XX X t X t ,X t X t X t ,X t K t K t ,K t KK Nt 22 () ( ) ( ) 1 2 1 2 ( ) ( )12 21 2 2 1 1 2 1 ()= + ( ) ()? ( ) = ) ? ( ) 0 ) ( ) Pr( ( )= ( )= )=Pr( ( )= ) 0 Xt A t B , <t< , f a f b A B, ± ± Xt. mt Rt , t Xt m R ² fx , f x , x t t . X t X t t t , f x , x t t Kt, t , ³ Kt t. Kt. pk p k , k tt . t> t Kt kKt k Kt t k k k k . , t . m pn 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 2. Let be the counting function for a Poisson process with average arrival rate (i.e., is the number of arrivals up to time
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This note was uploaded on 09/14/2010 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue.

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