Behavior of the partial correlation coefficients of a least squares lattice filter in the presence of a nonstationary chirp input

A study conducted on the properties of the partial correlation coefficients of the adaptive lattice filter based on recursive least squares algorithms showed that the forward and backward partial coefficients (PARCOR) are complex conjugates. The PARCOR coefficients for a general lattice filter were derived and expressions for the expected values of the PARCOR coefficients in the nonoptimal cases is found. It was observed that for a given chirp rate there is a threshold adaptation constant below which the total tracking error is negligible.