Adaptive recursive higher order polynomial filter

In this paper we present an adaptive recursive nonlinear filter based on the higher order Volterra series infinite impulse response (IIR) structure. The proposed work is an extension of the work of Roy et al [9] in which they limit the Volterra recursive filter to the second order. Adaptive algorithms based on the exact and the approximate gradient will be derived. Stability issues based on the Extended Kalman Filter will be discussed. Simulations results highlight the usefulness of the proposed algorithms. Improvement on the convergence and stability behavior will be evaluated.