Convergence analysis of a CORDIC-based gradient adaptive lattice filter

This paper presents a theoretical analysis of a CORDIC-based gradient adaptive lattice filter. First, we provide a convergence model and reveal convergence properties of filter coefficients. Second, we derive a steady-state model based on a Markov chain. By using the steady-state model, the relation between the step size parameter and the variance of the estimation error is clarified. The results of the analysis facilitate an efficient hardware design of the filter.