A two dimensional recursive inverse adaptive filtering algorithm

In this paper, a 2-D form of the recently proposed Recursive Inverse (RI) algorithm is introduced. The filter coefficients can be updated both along the horizontal and vertical directions on a 2-D plane. The proposed approach uses a variable step-size and avoids the use of the inverse autocorrelation matrix in the coefficient update equation, which leads to an improved and more stable performance. In order to compare with the well-known 2-D RLS adaptive filtering algorithm, it is applied to an image deconvolution problem. Simulation results show that the proposed 2-D algorithm leads to improved performance compared to that of the 2-D RLS algorithm.