Question: Consider a pole-zero system with system function. (a) Sketch the regular and transpose direct form II realization of the system. (b) Determine and sketch the

Consider a pole-zero system with system function.

(a) Sketch the regular and transpose direct form II realization 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 techniques.

(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.

(1 -- 0.5e/*/Az-1)(1 - 0.5e-j*/4--1) H(z) (1 – 0.8ej™32-1}(1 – 0.8e-j*Az-1)

(1 -- 0.5e/*/Az-1)(1 - 0.5e-j*/4--1) H(z) (1 0.8ej32-1}(1 0.8e-j*Az-1)

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