 Although multidimensional difference equations represent a generalization of 1-D difference equations, they are considerably more complex and quite different.A number of important issues associated with multidimensional difference equations, such as the direction of recursion and the ordering relation, are really not an issue in the 1-D case.Other issues such as stability, although present in the 1-D case, are far more difficult to understand for multidimensional systems

Multidimensional(M-D) filtering may also be achieved by carrying out the P-dimensional Discrete Fourier transform (DFT) over P of the dimensions where (P
where formula_25 refers to the M-D convolutional(convolution) operator and refers to the M-D signal domain index vector.