Determine the lattice filter

Question

Response to the following problem:

Determine the lattice filter and its optimum reflection coefficients corresponding to the linear predictor in Problem 1.

Problem 1: Determine the coefficients a₁ and a₂ for the linear predictor shown in Figure, given that the autocorrelation γ_xx (m) of the input signal is

γ_xx (m) = b^|m| ,       0 < b < 1