A comparison of algorithms for the calculation of adaptive lattice filters

This paper presents a comparison of four different algorithms for calculating the reflection coefficients of a lattice-structure prediction-error filter. This filter structure is gaining increasing use in the fields of adaptive filtering and linear prediction analysis. Comparison is made of the harmonic-mean (also known as Burg's algorithm), the geometric-mean, the forward-and-backward, and the forward/backward-minimum algorithms. Also compared are two methods of implementing the algorithms as recursive, continuously adaptive calculations. Results using simulated radar returns as the test signal are presented.