Multidimensional multirate filter without checkerboard effects

The checkerboard effect is caused by the periodic time-variant property of interpolators which compose a multirate system. Although the conditions for some one-dimensional(1D) multirate systems to avoid the checkerboard effect have been shown, the checkerboard effect in multidimensional(MD) multirate systems has not been considered. In this paper, the conditions for MD multirate filter and filter bank to avoid the checkerboard effect are considered. Besides, the properties of the MD filters with no checkerboard effect are given. Simulation example shows that the checkerboard effect can be avoided by using the proposed condition.