Second-order AR system. Assuming zero initial conditions, compute the unit-sample response...

Second-order AR system. Assuming zero initial conditions, compute the unit-sample response hi for 0 ≤ i ≤ 2 for the difference equation

yi = 2r cos(ωo)yi−1 − r2yi−2 + xi

where r = 0.9 and ωo = π/10.

Figure 8.29

AR filter for Problem 8.5.

Problem 8.5

Difference equation from AR filter structure. Write the difference equation of the digital filter shown in Figure 8.29.