Consider the system in Figure P4.41-1 where a filter H(z) is followed by a compressor. S...

Consider the system in Figure P4.41-1 where a filter H(z) is followed by a compressor. Suppose that H(z) has an impulse response given by:

The efficiency of this system can be improved by implementing the filter H(z) and the compressor using a polyphase decomposition. Draw an efficient polyphase structure for this system with two polyphase components. Please specify the filters you use.

(b) Now consider the system in Figure P4.41-2 where a filter H(z) is preceded by an expander. Suppose that H(z) has the impulse response as given in Eq. (P4.41-1).

The efficiency of this system can be improved by implementing the expander and filter H(z) using a polyphase decomposition. Draw an efficient polyphase structure for this system with three polyphase components. Please specify the filters you use.