Consider a pole—zero system with system function (a) Sketch the regular and tr...

Consider a pole—zero system with system function

(a) Sketch the regular and transpose direct form II realizations of the system.

(b) Determine and sketch the type 1 and type 2 state-space realizations.

(c) Determine the impulse response of the system by inverting H (z) and by using state-space technique's.

(d) Determine the coupled-form state-space realization.

(e) Repeat parts (a) through (d) for the system obtained by changing the angle of the poles from π/3 to π/4.