HW_11 - ECE 3085 HW #11 Due on 4.26.07 1. Solve the...

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Unformatted text preview: ECE 3085 HW #11 Due on 4.26.07 1. Solve the difference equation xk = 3xk−1 − 2xk−2 , x0 = 0, x1 = 1. 2. Compute the transfer function G(z ) for the following system, 1 1 xk = − xk−1 + xk−2 + uk−1 . 2 3 3. Compute the inverse Z transform of X (z ) = z2 . (z − 1)(z − 0.5) k = 2, 3, . . . , 4. Consider the system Y (z ) = G(z )U (z ), where G(z ) = Let uk = step(k ). Compute yk . 5. Consider the system Y (z ) = G(z )U (z ), with G(z ) = Let u = step. What is limk→∞ yk ? z2 . (z − 0.5)(z + 0.3) 1 . 1 − 0.5z −1 1 ...
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This note was uploaded on 06/09/2009 for the course ECE 3085 taught by Professor Taylor during the Fall '08 term at Georgia Institute of Technology.

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