Use the result in Problem 11.15 to determine the type Il form of the I = 3 inter-polator...

Use the result in Problem 11.15 to determine the type Il form of the I = 3 inter-polator in Figure 11.5.12(b).

Reference of Problem 11.15:

Let us consider an alternative polyphase decomposition by defining new polyphase filters as

This polyphase decomposition is called a type II form to distinguish it from the conventional decomposition based on polyphase filters

(a) Show that the type II form polyphase filters as follows:

(b) Sketch the polyphase filter structure for H(z) based in the polyphase filters and, thus, show that this structure is an alternative transpose form.