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ZT - EE3210 Supplementary Exercise z-Transform 1(Problem...

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EE3210 Supplementary Exercise: z-Transform 1. (Problem 10.21) Determine the z-transform for each of the following sequences. Indicate whether or not the Fourier transform of the sequence exists. a) δ [ n 5] b) ( ) ] 2 [ 3 1 n u n 2. (Problem 10.4) Consider the signal > = 0 , 0 0 ), 4 cos( 3 1 ] [ n n n n x n π . Determine the poles and ROC of X ( z ). 3. (Problem 10.16) Consider the following system functions for stable LTI systems. Without utilizing the inverse z-transform, determine in each case whether or not the corresponding system is causal.
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