K - rank modification of adaptive lattice filter parameters

We analyze the algorithms intended for correction of adaptive lattice filters (ALF) parameters under K ≥ 1 - rank modification of estimate correlation matrix within a “sliding” over the time (range) data window. The drawbacks of methods that correct the ALF parameters based on K - fold utilization of known algorithms of rank-one (K = 1) modification are discussed. The combined algorithm (CA) of K ≥ 1 - rank modification is synthesized. Under considered conditions, the only one-fold utilization of the CA solves the task of ALF parameters correction. We demonstrate, through both the theoretical analysis and results of scaled-down experiments, that proposed CA reduces the computational complexity and enhances the numerical stability of procedure of ALF parameters correction as compared with the competing methods based on algorithms of rank-one modification.