Given the step response for a second-order Butter worth filter as in Problem 2.65c, use the superposition

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Given the step response for a second-order Butter worth filter as in Problem 2.65c, use the superposition and time-in-variance properties of a linear time-invariant system to write down the filter??s response to the input 

Problem 2.65c

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x(t) = u(t) - 2u (t - T) + u(t - 2T)

where u(t) is the unit step. Plot as a function of t/T for (a) f3T= 20 and (b) f3T = 2.

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