The Conditions of Orthogonality for the Input Sequences of the Binary 4D-Multi-Dimensional Nonlinear Modular Dynamic systems
The article deals with a class of binary 3D-multidimensional modular dynamical systems given in the form of a two-valued analogue of the Volterra’s polynomial with a fixed memory, limited connection, a known degree, and a known number of inputs and outputs. It is believed, that a limited connection is represented as a Cartesian product of two bounded sets, which are the subsets for the set of integers. The concept of orthogonality of the input sequences for the considered binary 3D-multidimensional modular dynamical systems is given. The conditions of the orthogonality of input sequences are found. A methodology for the construction of orthogonal input sequences for the binary 3D-multidimensional modular dynamical systems is briefly outlined.