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Unformatted text preview: In this assignment submit only your final answers for each question. Keep the derivations of your answers for yourself. Grading will be based only on final answers for the assignments. PROBLEM 2.1: For each of the following z-transforms, determine the inverse z-transform. Only submit your final answer for the inverse z-transform. (a) Y a ( z ) = (1- z- 1 )(1- 2 z- 1 )(1- 3 z ) with ROC: 0 < | z | < (b) Y b ( z ) = 5 z 3 1 + z- 2 with ROC: 1 < | z | < (c) Y c ( z ) = 1 6- 5 z- 1 + z- 2 with the ROC defined to get a two-sided sequence y c [ n ] (d) Y d ( z ) = z- 1 + 3 z 6 1- z- 7 with ROC: | z | < 1 (Note: Should the DE be causal or anti-causal?) PROBLEM 2.2: A discrete-time system is defined by the following difference equation. y [ n ] = x [ n ] + 3 x [ n- 1] + x [ n- 2] (a) Give an expression for the frequency response of this system. (b) Make a sketch of the frequency response (magnitude and phase) as a function of frequency....
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- Winter '09