Tutorial7 - Tutorial 7 Q1 Determine the z-transform of the following sequence(i n 1 u(n u(n 10 2(ii(iii Q2 1 2n u(n 7 cos 4 3 6 n<0 0 x(n = 1 0 n 9

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EE3118 Linear Systems and Signal Analysis KST SemA 2008/09 Tutorial 7 Q1. Determine the z-transform of the following sequence. (i) () ( ) [] 10 2 1 n u n u n (ii) () n u n n + 4 6 2 cos 3 1 7 π (iii) () < < = n n n n x 9 0 9 0 1 0 0 Q2. Using the method indicated, determine the sequence associated with each of the z-transform: (a) Partial fractions (i) () ) 25 . 0 1 ( ) 5 . 0 1 ( ) 1 ( 1 1 1 1 = z z z z X (ii) () ) 64 . 0 1 ( 1 2 = z z X (iii) () ) 25 . 0 ( ) 5 . 0 ( 2 + + = z z z z z X (b) Long division: determine x(0), x(T), x(2T), x(3T) and x(4T) for the following function of z (i) () ) 3 . 0 1 ( ) 1 . 0 1 ( 2 . 0 1 1 1 1 + = z z z z X (ii) () 3 2 1 2 1 5 . 0 6 . 0 4 . 0 1 4 . 0 3 . 0 1 + + + = z z z z z z X Q3. Determine the system function for the causal LTI system with difference equation () () () ( ) n x n y
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This note was uploaded on 01/11/2011 for the course EE 3118 taught by Professor Kitsangtsang during the Spring '08 term at City University of Hong Kong.

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Tutorial7 - Tutorial 7 Q1 Determine the z-transform of the following sequence(i n 1 u(n u(n 10 2(ii(iii Q2 1 2n u(n 7 cos 4 3 6 n<0 0 x(n = 1 0 n 9

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