Consider the system
y(n) = 0.9y(n – 1) – 0.08y(n – 2) + x(n) + x(n – 1)
(a) Determine the type 1 and type 2 state-space realizations of the system.
(b) Determine the parallel and cascade state-space realizations of the system.
(c) Determine the impulse response of the system by at least two different methods.