Exam 2 Solution Spring 209

Z d z z 1z c 1 09e j6 z 09e j 6 b sketch

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Unformatted text preview: r the following LTI system: yŒn xŒn † z2 z1 0:9 1 p 3 z1 0:81 (a) Show that the system function is H.z/ D .z .z 1/.z C 1/ 0:9e j=6 /.z 0:9e j =6 / : (b) Sketch the magnitude frequency response jH.e j! /j over the range 0  !  2 . Indicate calculated amplitudes at ! D 0, ! D  , and ! D  . 6 The difference equation for the system is p yŒn D 0:9 .3/yŒn 1 0:81yŒn 2 C xŒn x Œn 2: By taking z-transforms, the system function is found to be H.z/ D D 1 z2 p 0:9 3z 1 C 0:81z .z...
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This note was uploaded on 11/14/2013 for the course EEE 4001F taught by Professor Nicolls during the Summer '13 term at University of Cape Town.

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