Question: One of the useful features of the Levinson-Durbin solution of the autocorrelation LP equations is that the reflection coefficient generated at the fth step, K(f;m), is theoretically bounded as
|K(l;m)| ≤ 1
This property allows a check for numerical stability of the computation at each step. Verify that is a necessary condition for stability. [For sufficiency, see (Markel and Gray, 1976).]