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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 ztransforms, determine the inverse ztransform. Only submit your final answer for the inverse ztransform. (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 twosided 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 anticausal?) PROBLEM 2.2: A discretetime 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
 Eltanany
 Digital Signal Processing, Signal Processing, LTI system theory, Carleton University Department of Systems

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