Abstract
A new adaptive identification approach is proposed for a time-varying FIR system in which the system parameters change as piecewise polynomial function of time. By appropriately incorporating the internal model corresponding to the polynomial degree into the parameter adjustment dynamics of the new algorithm, its BIBO stability can be assured by the aid of the small gain theorem and modified passivity theorem. Its effectiveness of the proposed LMS and RLS types of algorithms is validated by comparing to ordinary approaches in adaptive direction-of-arrival (DOA) estimation for fast moving vehicles.
