Consider the signal (a) We want to use a causal, 2nd -order all-pole model,...

Consider the signal

(a) We want to use a causal, 2^nd -order all-pole model, i.e., a model of the form

to optimally represent the signal s[n], in the least-square error sense. Find a₁, a₂, and A.

(b) Now, suppose we want to use a causal, 3rd -order all-pole model, i.e., a model of the form

to optimally represent the signal s[n], in the least-square error sense. Find, b₁, b₂, b₃,and B.