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Unformatted text preview: n N-1 elsewhere (b) t ( n ) = n n N-1 2 N-n N n 2 N elsewhere Hint: To solve part (b), use the convolution and shifting properties of the z-transform. Problem 5.4 Find the inverse z-transform of each of the following z-transforms: (a) X ( z ) = 1-az-1 z-1-a , | z | > | 1 /a | (b) X ( z ) = z 3-2 z z-2 , left-sided sequence Problem 5.5 Evaluate the inverse z-transform of G ( z ) = z 2 ( z +2) 2 ( z 2 +9) for all possible ROCs. 2...
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