Convert autocorrelation sequence to prediction polynomial
a = ac2poly(r) finds the linear prediction, FIR filter polynomial a corresponding to the autocorrelation sequence r. a is the same length as r, and a(1) = 1. The prediction filter polynomial represents the coefficients of the prediction filter whose output produces a signal whose autocorrelation sequence is approximately the same as the given autocorrelation sequence r.
Consider the autocorrelation sequence:
r = [5.0000 -1.5450 -3.9547 3.9331 1.4681 -4.7500];
The corresponding prediction filter polynomial is
[a,efinal] = ac2poly(r) a = 1.0000 0.6147 0.9898 0.0004 0.0034 -0.0077 efinal = 0.1791