The realizations of 2-D transfer functions presented in [1] are derived by an alternative procedure. This procedure is very simple, intuitively appealing, and allows cases more general than those in [1] to be effortlessly treated.Show More
A new radix-2 two-dimensional direct FFT developed by Rivard is generalized in this paper to include arbitrary radices and non-square arrays. It is shown that the radix-4 version of this algorithm may require significantly fewer computations than conventional row-column transform methods. Also, the new algorithm eliminates the matrix transpose operation normally required when the array must reside...Show More
A new approach to characterizing the problem of implementing linear digital filtering operations on finite-state machines is presented. In this formulation, the implementation of shift-invariant or shift-varying, one-dimensional or multi-dimensional filters as single-input or multiple-input, time-invariant or time-varying systems are all treated in the same framework. This framework is based on th...Show More
A novel class of multidimensional systems, called oriented discrete systems, is defined and character- ized. This class includes those multidimensional systems which have been called "causal", but it is much broader. It represents the practical, rather than analytical, generalization of I-D causal systems to multidimensions. The realization problem for oriented discrete systems is introduced, and ...
