Consider the signal
Suppose that we observe x(n) for n = 0, I, ... , N.
(a) Using the autocorrelation method, find the 2nd-order all-pole model for x(n).
(b) Suppose we want to find a p-pole model for x(n). Let Γj denote the jth reflection coefficient of the lattice filter implementation of the all-pole model. Find a recursion for the reflection coefficients that expresses Γj in terms of Γj-1and Γ1-2.