The inverse filter approach to all-pole modeling of a deterministic signal s[n] is discu...

The inverse filter approach to all-pole modeling of a deterministic signal s[n] is discussed in Section 11.1.2 and depicted in Fig. 11.2. The system function of the inverse filter is given in Eq. (11.5).

(a) Based on this approach, determine the coefficients a₁ and a₂ of the best all-pole model for s[n] = δ[n] + δ[n − 2] with p = 2.

(b) Again, based on this approach, determine the coefficients a₁, a₂ and a₃ of the best all-pole model for s[n] = δ[n] + δ[n − 2] with p = 3.