hw4_answers - Homework 4 Answers ECE 220 Spring 2005 1 1(a...

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Homework 4: Answers ECE 220 Spring 2005 1. (a) ) 1 ( 3 1 ) ( 2 1 + + = z z z H (b) (c) + = + + = 3 ˆ cos 2 1 3 1 3 1 3 1 ) ( ˆ ˆ 2 ˆ ω ω ω ω j j j jw e e e e H or ) 2 / ˆ sin( 3 ) 2 / ˆ 3 sin( ˆ ω ω ω j e (d) (e) ) cos( 3 4 ) cos( 805 . 0 2 ] [ 3 3 4 4 π π π π + = n n n y 2. (a) ) ( ) ( ) ( 1 1 z H z X z Y = ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( 2 1 2 1 z H z X z H z H z X z H z Y z Y = = = , where ) ( ) ( ) ( 2 1 z H z H z H =
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