(a) Please describe how to apply the Routh-Hurwitz criterion to
determine the stability of LTI discrete-time system.

(b) Consider design a compensator for the system to meet the phase
margin criterion of 45º but leave the gain-crossover frequency
unaffected. What type of cascade compensators (Lag,

Lead, Lag-Lead) can fulfill the objectives? Explain your
choice.

(c) Please state the definition of Phase Margin and Gain
Margin.

(d) A digital filter has an impulse response,
h[n]=0.6^{n}u[n]. If it is excited by a unit
sequence,

what is the final value of the response?

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