quiz 8 - 4 1 − 1 3 z − 1 z − 1 − 1 4 1 − 1 4 z...

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ECEN 487 QUIZ 8 NAME:_________________ 1. Consider the following two rational polynomial system functions: H 2 ( z ) = 1 4 z 1 1 1 3 z 1 , H 3 ( z ) = z 1 4 1 1 3 z 1 . a) Which of them is minimum phase? Why? H 3 ( z ) is minimum phase since all its poles and zeros are inside the unit circle. b) Do they have the same magnitude response? Show it. Yes. H 2 ( z ) = 1 4 z 1 1 1 3 z 1 = 1 1 4 z 1 1 1 3 z 1 1 4 z 1 1 1 4 z 1 = 4(1 1 4 z 1 ) 1 1 3 z 1 z 1 1 4 1 1 4 z 1 = z 1
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Unformatted text preview: 4 1 − 1 3 z − 1 z − 1 − 1 4 1 − 1 4 z − 1 = H 3 ( z ) H ap ( z ) , or H 2 ( e j ω ) 2 = 1 − 4 e − j 1 − 1 3 e − j 1 − 4 e j 1 − 1 3 e j = 17 − 8cos( ) 8 9 − 2 3 cos( ) , H 3 ( e j ) 2 = e − j − 4 1 − 1 3 e − j e j − 4 1 − 1 3 e j = 17 − 8cos( ) 8 9 − 2 3 cos( )...
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This note was uploaded on 03/16/2012 for the course ECEN 487 taught by Professor Dr.brianjeffs during the Winter '12 term at BYU.

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