Answer Happy

Practical 2 [17] 2.1 Consider the system whose difference equation is y(n+2)-y(n+1)+0.09y (n) = 4x(n+2)+x(n+1)¸ a) Use Matlab to find transfer function () and locate the zero and poles in thez- plane. (4) Insert code Insert graph Insert code Insert graph b) Use Matlab to find and plot the unit impulse response h(n) of the system. (3) Insert code Insert graph Insert code Insert graph
c) Use Matlab to create a neatly-labeled figure using subplot whose upper plot is the magnitude of H(e) and the lower plot is the phase angle of H(e) for frequencies - -6 500 S 6 . Is the DTFT spectrum a periodic function of ? If so, what is the period? (5) Insert code Insert graph Insert code Insert graph 2.2 Use Matlab to compute the linear convolution of the following pairs: a) x(n)=n² (u(n+2)-u(n-3))+u(n-4)-u(n-7) and h(n)-2 sin (n) (u(n+2)-u(n-3)) Insert code Insert graph b) x(n)-n² (u(n+2)-u(n-3))+u(n-4)-u(n-7) and h(n)-2 sin (n-3)(u(n-3)-u(n-5)) Insert code Insert graph What can be observed from results obtained in (a) and (b)? (5)