2. An IIR digital filter has the impulse response h(n) = (3 )"u(n) + (5 )"u(n) (a) Find H(z) in closed form, and its region of convergence. (b) Give the poles of H(z). (c) Change h(n) to make it stable, without changing H(z). Give the new R.O.C. for H(Z) (d) Give a stable set of recursive difference equations for the filter. Use the parallel form. (e) In the pseudocode below, which is based upon part (d), give correct expressions for A, B, C, D and E. Assume that allowable arguments for x(), y(),y1(), and yz() include only the integers from 0 to N. yI(N) = A y2(N) = A y(N) = yI(N) + yz(N) For n = B to C y1 (n) = D yz(n) = E y(n) = y1(n) + yz(n) End