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A simple model characterizing the convergence properties of an adaptive digital lattice filter using gradient algorithms has been reported . This model is extended to the least mean square (LMS) lattice joint process estimator , and to the least squares (LS) lattice and "fast" Kalman algorithms  -. The models in each case are compared with computer simulation. The single-stage LMS lattice analysis presented in  is also applied to the LS lattice. Results indicate that for stationary inputs, the LMS lattice and LS algorithms exhibit similar behavior.