Question

2. The Z-Transform of a system is given by \frac{z^2}{z^2 - 0.6z + 0.05} (a) Determine if the system is stable and explain why (b) Find the unit step response of the system using partial fractions. The Z-Transform of a unit step is \frac{z}{(z-1)}. Show working. (c) Find the step response as part (b) using the method of residues. (see chapter 5 book) (d) Find the impulse response g(k) of G(z) using long division (see book chapter 5). Truncate at 4th power of -z.

          2. The Z-Transform of a system is given by
\frac{z^2}{z^2 - 0.6z + 0.05}
(a) Determine if the system is stable and explain why
(b) Find the unit step response of the system using partial fractions. The Z-Transform of a
unit step is \frac{z}{(z-1)}. Show working.
(c) Find the step response as part (b) using the method of residues. (see chapter 5 book)
(d) Find the impulse response g(k) of G(z) using long division (see book chapter 5).
Truncate at 4th power of -z.

$2. The Z-Transform of a system is given by (z^2)/(z^2 - 0.6z + 0.05) (a) Determine if the system is stable and explain why (b) Find the unit step response of the system using partial fractions. The Z-Transform of a unit step is (z)/((z-1)). Show working. (c) Find the step response as part (b) using the method of residues. (see chapter 5 book) (d) Find the impulse response g(k) of G(z) using long division (see book chapter 5). Truncate at 4th power of -z.$

Added by Brett S.

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