quiz 3 - n ] = res ( z " 2)( z " ) z n " 1 (...

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ECEN 487 QUIZ 3 NAME:___________KEY_________________________ 1. Use Cauchey’s residue theorem to compute the stable inverse z transform of X ( z ) = ( z " 2)( z " # ) ( z " 1 2 )( z " 5)( z + 7)( z + 3) for n > 0 only. For n > 0 there is one pole of X ( z ) z n- 1 enclosed by C : | z | = 1. x [
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Unformatted text preview: n ] = res ( z " 2)( z " ) z n " 1 ( z " 1 2 )( z " 5)( z + 7)( z + 3) $ % & ’ & ( ) & * & z = 1/2 for n > 0, = ( 1 2 " 2)( 1 2 " )( 1 2 ) n " 1 ( 1 2 " 5)( 1 2 + 7)( 1 2 + 3) for n > 0, = " 0.0671( 1 2 ) n u ( n " 1)...
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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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