A6

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Signals and Systems Issued: 25 September 2014 Fall 2014 Due: Wednesday, 1 October 2014 Homework Assignment #6 1. Find the z transform of each of the following sequences. (a) f ( k ) 2 ( k ) ( 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 ( ) ( 1 k a k u a k f s k
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