MULTIDIMENSIONAL MULTIRATE FILTER AND FILTER BANK WITHOUT CHECKERBOARD EFFECT

The checkerboard effect is caused by the periodic time-variant propert y of multirate filters which consist of up-samplers and digital filter s. Although the conditions for some one-dimensional (1D) multirate sys tems to avoid the checkerboard effect have been shown, the conditions for Multidimensional (MD) multirate systems have not been considered. In this paper, some theorems about the conditions for MD multirate fil ters without checkerboard effect are derived. In addition, we also con sider MD multirate filter banks without checkerboard effect. Simulatio n examples show that the checkerboard effect can be avoided by using t he proposed conditions.