@article{oai:niigata-u.repo.nii.ac.jp:00001899, author = {Harada, Yasuhiro and Muramatsu, Shogo and Kiya, Hitoshi}, issue = {8}, journal = {IEICE transactions on fundamentals of electronics, communications and computer sciences, IEICE transactions on fundamentals of electronics, communications and computer sciences}, month = {Aug}, note = {The checkerboard effect is caused by the periodic time-variant property of multirate filters which consist of up-samplers and digital filters. Although the conditions for some one-dimensional (1D) multirate systems 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 filters without checkerboard effect are derived. In addition, we also consider MD multirate filter banks without checkerboard effect. Simulation examples show that the checkerboard effect can be avoided by using the proposed conditions.}, pages = {1607--1615}, title = {Multidimensional Multirate Filter and Filter Bank without Checkerboard Effect}, volume = {E81-A}, year = {1998} }