Composite algorithms for adaptive IIR filtering using lattice realization

Adaptive IIR algorithms are implemented based on lattice realizations allowing the adaptive filter poles to be monitored in real-time. New simplified recursive-in-order equations are presented relating the parameters of the direct-form realization to the ones of the two-multiplier IIR lattice realization. Those equations yield a general method to implement any adaptive IIR algorithm including the members of the equation error family of algorithms. Based on these new techniques, computationally efficient algorithms requiring O(N) multiplications are obtained for the lattice structure. Simulations are included to demonstrate the usefulness and validity of the proposed methods.