Identification of a tapped lattice representation of a linear system

Abstract

This paper provides a formulation of a tractable error system of an adaptive algorithm for output error identification of the parameters of a tapped lattice model of a linear, infinite-impulse-response (IIR) plant. This algorithm is an attractive solution to the underlying output error problem due to (i) the simplicity of its crucial stability check and maintenance procedure for the adapted IIR parameterization and (ii) the numerical insensitivity properties of the lattice structure. Our error system reformulation allows proof of this adaptive tapped lattice identifier's local convergence and robustness with the use of nonlinear stability theory that has been fashioned elsewhere for analysis of other adaptive systems. Reproducible simulation evidence is presented that supports such results. Show more