Consider the discrete-time (DT) LTI system with impulse response as given below with h[n]. The DT signal x[n] is the input to this system. x[n] = {d[n] - 8[n - 3]}, h[n] = 2 {u[n 1] - u[n 5]} a) Carefully plot h[n] and x[n]. b) Is the DT-LTI system causal? Is it stable? Clarify your answers. c) For signal h[n], clearly plot the signals y[n] = h[n + 1.5] and y2 [n] = h[2n + 2] (if the signals are not defined, briefly explain why). d) Calculate and clearly plot the output of the system, y[n] (using convolution sum).