A 2-D Second-Order Recursive Inverse Adaptive Filtering Algorithm

Abstract

 Abstract—In this paper, a two-dimensional (2-D) version of the recently proposed second order Recursive Inverse (2nd order RI) algorithm is introduced. In the proposed algorithm, instead of estimating the inverse autocorrelation matrix, a second order estimate of the autocorrelation matrix and cross correlation vector, which provide an improved and a more stable performance, are used. Also, the filter coefficients are updated along both the horizontal and vertical directions on a 2-D plane. The performance of the proposed algorithm is compared to that of the 2-D RLS algorithm in Adaptive Line Enhancer (ALE) problem. Simulation results show that the proposed algorithm leads to an improved performance compared to that of the 2-D RLS algorithm.