Design of a multichannel two-dimensional delta-domain lattice filter for noise removal

In this paper, a multichannel form of the two-dimensional (2-D) delta-domain lattice filter has been designed. Motivated by the success of 2-D delta-domain lattice filters, delta-domain concepts are generalized to the multichannel case. By a good choice of the transformation matrix that relates the q-domain and delta-domain filters, the channels can be handled independently, which makes the algorithm simple and attractive; however, it is capable of handling multichannel problems, even if the noise is correlated between channels, resulting in extremely low SNR values. The proposed algorithm provides the ability of handling multichannel image frames and colored images in the so-called delta-domain that is known to be always better than the traditional q-domain in handling ill-conditioned problems. On-line image frames carrying Gaussian and multiplicative noise simultaneously on different channels, as well as color images, are taken into consideration, and successful results are obtained in terms of noise removal.