2-D adaptive state-space digital filters using LMS algorithm

This paper treats the realization of 2-D adaptive state-space filters using the least mean squares (LMS) algorithm. This is based on the Roesser local state-space model. First, the relation between the coefficient sensitivities and the intermediate transfer functions is investigated. Then, after introducing new systems for generating the gradient vectors, an adaptive algorithm is developed using the LMS algorithm. Finally, in a numerical example the 2-D adaptive state-space filter is used to design a 2-D digital filter in the spatial domain