Question: (a) Using the superposition and time-in-variance properties of a linear time-invariant system find the response of a low pass RC filter to the input x(t)

(a) Using the superposition and time-in-variance properties of a linear time-invariant system find the response of a low pass RC filter to the input

x(t) = u(t) - 2u(t - T) + 2u(t - 2T) - u(t - 3T)

Plot for T / RC = 0.4, 0.6,1,2 on separate axes. Use  MATLAB to do so.

(b) Repeat for -x(t). Plot on the same set of axes as in part a.

(c) Repeat for x(t) = u(t).
(d) Repeat for x(t) = -u(t).

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