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**Unformatted text preview: **sociated ROCs. (a) z 2 + z z 2 + z-2 ; | z | > 2 (b) z z 2 +9 ; | z | > 3 (c) z z 2-9 5 z-2 5 ; | z | > 2 (d) z ( z-1)( z-4) 2 ; | z | > 4 (e) z z 2 +2 z +2 ; | z | > √ 2 (f) 1-1 2 z-1 1+ 3 4 z-1 + 1 8 z-2 ; | z | > 1 2 Problem 3.4 Use the 1-sided z-transform to solve (a) y ( n ) + y ( n-1) + 1 4 y ( n-2) = ( 1 3 ) n , n ≥ , y (-1) = 1 , y (-2) = 2 . (b) y ( n + 2)-y ( n + 1) + y ( n ) = 4 , n ≥ , y (0) = 0 , y (1) = 6 . Problem 3.5 A causal LSI system is described by the D.E. y ( n ) + 1 3 y ( n-1) = 2 x ( n ) + 3 x ( n-2) Determine the unit pulse response of the system. 2...

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