Let x[n] = cos(17 pi n/64) + 2 sin(23 pi n/32) for 0 less than or equal to n less than or equal to 255, and 0 otherwise. the signal x[n] is passed through an lti system with transfer function h(z) = (1 - 1/2z^-1)(1 - 1/3z^-1). denote the signal at the output of the system by y[n]. we want to recover rr[n] by passing y[n] through an inverse system. (a) find (analytically) an impulse response g[n] of the inverse system, g(z) = 1/h(z). (b) apply a rectangular window of length m = 8, w[n] = {1 0 less than or equal to n less than or equal to 7, 0 otherwise, to obtain an fir filter r[n] = g[n]. w[n]. using matlab, plot the frequency response of the fir filter (useful command: fft). compare it (on the same graph) with the frequency response of the iir inverse system (useful command: freqz). is m = 8 an appropriate choice? (c) compute x^[n] = r[n] * y[n]. plot x[n], y[n], and x^[n] - x[n]. (you may use command subplot(2, 2, -) to plot all graphs in a single figure.)