# A6

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Signals and Systems Issued: 27 September 2013 Fall 2013 Due: 4 October 2013 Homework Assignment #6 1. Find the z transform of each of the following sequences. (a) f ( k ) = 2 δ ( k ) δ ( k 2) = = = otherwise 0 2 , 1 0 , 2 k k (b) f ( k ) = < 5 , 2 5 0 , 1 0 , 0 5 k k k k . (c) f ( k ) = {2,2,0, 1, 1, 1,2,2,0, 1, 1, 1,2,2,0, 1, 1, 1, ⋅⋅⋅ }. [Hint: Express f ( k ) as the sum of shifted, identical, finite sequences.] (d) f ( k ) = 0 , 0 even , 0 odd , 2 k k k . (e) ) ( 1 ) 1 ( )
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