Assignment:
Question 1. A system has the transfer function:
H(z) = (z2-3z+1)/(z3+ z2-0.5z+0.5)
Is the system stable, marginally stable, or unstable?
- stable
- marginally stable
- unstable
Question 2. A discrete-time system is give by the input/output difference equation:
y[n+2]-y[n+1]+y[n]=x[n+2]-x[n+1]
Is the system stable, marginally stable, or unstable?
- stable
- marginally stable
- unstable
Provide complete and step by step solution for the question and show calculations and use formulas.