EE302%20hw6_fa06

EE302%20hw6_fa06 - EE302 Homework#6 Assigned Due(by 4:30 in...

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Hint: 12 EE302 Homework #6 ± ²± ± 6 ²∞ 6 6 6 ³ 6 ² ³ ³ th AB XX Xt Xt ,Xt Kt Kt ,Kt KK 1 2 1 2 22 () ( ) ( ) 1 2 1 2 ( ) () ()12 2 2 1 1 2 1 2 1 2 1 () 0 5 1( ) 5 = ()= + ( ) ()? ( ) = ) ? ( ) 0 ) ( ) Pr( ( )= ( )= )=Pr( ( )= ) 0 Xt, t<, it < i , X t i xt, t<. X t t. X t . t t. Xt . t t X t At B, , <t< , f a f b A B, ± ± Xt. mt Rt , t m R ² fx , f x , x t t . A B t t , f x , x t t Kt, t , ³ t. Kt. pk p k , k t t . t > tK t k K t k K t t k k k k . , t . m Assigned 11/30/06, Due 12/7/06 (by 4:30 in dropbox in MSEE 330) 1. A random process is generated by ±ipping a coin ²ve times. During the interval from the value of is equal to one if the ±ip of the coin is a head and zero otherwise. (a) Sketch some sample functions How many sample functions are there? (b) Find the pmf for for ²xed Also ²nd the mean value and variance of (c) Find the joint pmf for and for ²xed Also ²nd the correlation coefficient for and For what values of and are and uncorrelated? 2. 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
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This note was uploaded on 09/03/2009 for the course ECE 302 taught by Professor Gelfand during the Fall '08 term at Purdue.

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