# hw3 - e y(t = x(t)x(t-2 2(30 For each system in problem 1...

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Assignment #3 Due Fri 09/09/05 1(30). For each system below, let y denote the output of the system when the input is x. Note that some parts deal with a continuous-time system, while others deal with a discrete-time system. Which of the following systems are linear? Justify your answer. That is, give a proof if the property is true, and find a counterexample if the property is false. a. y(t) = x(t) – 2 x(t+1) b. y[n] = x[n] + u[n] c. y(t) = t x(t) d. y[n] = -x[-n]
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Unformatted text preview: e. y(t) = x(t)x(t-2) 2(30). For each system in problem 1, determine whether or not the system is time-invariant. Justify your answer. 3(20). For each system in problem 1, determine whether or not the system is causal. Justify your answer. 4(20). For each system in problem 1, determine the formula for and sketch the output when the input is a delta function (i.e., input x[n] = δ [n] for the discrete-time systems and x(t) = δ (t) for the continuous-time systems)....
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