A Newton Based Adaptive Algorithm for IIR ADF Using Allpass and FIR Filter

摘要

Newton based adaptive algorithms are among the algorithms which are known to exhibit a higher convergence speed in comparison to the least mean square (LMS) algorithms. In this paper we propose a simplified Newton based adaptive algorithm for an adaptive infinite impulse response (IIR) filter implemented using cascades of second order allpass filters and a finite impulse response (FIR) filter. The proposed Newton based algorithm avoids the complexity that may arise in the direct dif- ferentiation of the mean square error. The analysis and simula- tion results presented for the algorithm, show that the property of convergence of the poles of the IIR ADF to those of the un- known system will be maintained for both white and colored input signal. Computer simulation results confirm an increase in convergence speed in comparison to the LMS algorithm.