Unformatted text preview: t ) u ( t ) ∀ t. (a) (5 pts) Compute the output y 1 obtained when input signal x given by x ( t ) = exp( t ) u ( t ) ∀ t is applied to S 1 . (b) (3 pts) Is S 2 stable? Explain. Also comment on how your answer possibly relates to boundedness/unboundedness of the given x and resulting y 2 . Question 3 (2 pts): Obtain and plot the unit pulse response h for the discretetime LTI system, with the initial rest property, whose input x and output y are related by y [ n ] = x [ n ] + x [ n2] ∀ n. Question 4 (8 pts): Consider the system whose input x and output y are related by y ( t ) = Z t∞ x ( τ + 1) dτ ∀ t. Indicate whether (yes or no) the system is (a) linear; (b) timeinvariant; (c) causal; (d) (BIBO) stable. Justify all answers. Be precise in your explanations. (An incorrect justiﬁcation results in no credit for the answer.)...
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 Fall '03
 Tretter
 Digital Signal Processing, Signal Processing, Impulse response, unit step response

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