Tutorial3_ans - EE 3008 Random Process Tutorial Solutions...

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EE 3008. Random Process Tutorial Solutions Q1) All possible outcomes are listed below, HHH HHT HTH HTT THH THT TTH TTT There three events with two heads and one tail, i.e., HHT HTH THH Therefore the probability is 3/8. Q2) Pr{ . / } ( ) . . . 05 3 4 2 3 4 5 16 0 5 3/4 2 2 0 5 << = = = −= ∫∫ xf x d x x d x () Pr{ . . } ( ) . . . .. −< < = = = = 2 0 025 0 5 2 0 x f x dx xdx Q3) 4 22 1 4 2 2 2 2 1 11 4 1 2 . 5 33 2 1 var( ) ( ) ( ) = ( ) 2.5 2.5 =0.75 3 EX x f xdx xdx XE X E x x f x d x x d x −∞ == = = =− = Q4) εε ε 3 0 2 2 0 2 31 2 = = AA d A A / / = Q5) 3 2 2 2 2 2 2 = = d A A A A / / / / = Q6) (a) The average bit error rate (BER) for d = 0 is 01 1 . 5 .5 0 111
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This note was uploaded on 01/11/2011 for the course EE 3008 taught by Professor Pingli during the Fall '08 term at City University of Hong Kong.

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