The impulse response of an LTI system is (a) Draw the flow graph of a direc...

The impulse response of an LTI system is

(a) Draw the flow graph of a direct form nonrecursive implementation of the system.

(b) Show that the corresponding system function can be expressed as

(c) Draw the flow graph of an implementation of H(z), as expressed in part (b), corresponding to a cascade of an FIR system (numerator) with an IIR system (denominator).

(d) Is the implementation in part (c) recursive or nonrecursive? Is the overall system FIR or IIR?

e) Which implementation of the system requires

(i) the most storage (delay elements)?

(ii) the most arithmetic (multiplications and additions per output sample)?