LINEAR PREDICTION COEFFICIENT TRANSFORMATIONS

The prediction and reflection coefficients can be transformed back and forth with no loss of information:


This gives us insight into how to determine the LP order during the calculations. We also see that reflection coefficients are orthogonal in the sense that the best order "p" model is also the first "p" coefficients in the order "p+1" LP model (very important!).

We can also convert LP coefficients to/from autocorrelation coefficients, cepstral coefficients, and log area ratios. See Signal Modeling Techniques for further details.