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Unformatted text preview: c) Assume H belongs to a causal system. If the input to the INVERSE system H i is x [ n ] =-1 3 (-1 4 ) n u [ n ]-4 3 2 n u [-n-1] , nd the output signal, w [ n ] . d) Draw the pole-zero plot for W ( z ) in part (b) and indicate its ROC. 5. Determine the inverse z-transform x 1 [ n ] of the following z-transform: X 1 ( z ) = 1 1-z-7 + 1 z , | z | > 1 HINT: you can use the useful sum formula 6. Consider the Z-transform H ( z ) = 3 z 3 + 49 . 2 z 2 + 10 . 2 z ( z-1)( z-12)( z-. 6) a Find all possible ROC for this function. b Find the inverse transform for each region of convergence found above....
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- Spring '07
- Signal Processing