Show how the system in Fig. 1 can be modified to use a suitable polyphase decomposition of H(z). Simplify as much as possible. The transfer functions of each filter used in the polyphase decomposition should be clearly specified. (9 points.) Hint: Multiply and divide H(z) by a suitable polynomial Q(z) so that the denominator is a function = 1 - 2 - 1 + z - + 2.
y[n]
13
Figure 1: Upsampling system for Problem 3.
