Consider a causal LTI system whose system function is (a) Draw the signal f...

Consider a causal LTI system whose system function is

(a) Draw the signal flow graphs for implementations of the system in each of the following forms:

(i) Direct form I

(ii) Direct form II

(iii) Cascade form using 1^st- and 2^nd-order direct form II sections

(iv) Parallel form using 1^st- and 2^nd-order direct form I sections

(v) Transposed direct form II.

(b) Write the difference equations for the flow graph of part (v) in (a) and show that this system has the correct system function.