(a) compute and plot the output y2(t) using matlab. hint: create the input x2(t) and then use y2=conv(x2,h1)*ts. (b) let x2,n and y2,n be the fourier coefficients of x2(t) and y2(t). compute and plot the amplitude and phase of x2,n and y2,n as functions of n for −10 ≤ n ≤ 10. hint: verify that x2,n = ( 0.125, n = 0, sin(0.125nπ) nπ e −j0.125nπ , otherwise. y2,n =h1(jnω0)x2,n. then, use abs(xn) for amplitude and angle(xn) for phase, and plot the graph by stem(n, abs(xn)) and stem(n, angle( (c) use matlab to compute and plot the output y3(t) of the cascaded system when the input is x2(t). hint: convolve y2(t) with the impulse response function h2(t) of s2. (d) use matlab command soundsc(y3, 1/ts) to listen to the signal you generate. give a brief comment on the sound, e. g., what do you hear (a vowel? ) and what do you think about its quality. then comment briefly about the model we have for speech synthesis. could you give some ideas on how to improve the model?