An approach to ordering of systems of the Walsh discrete functions
Ilyas I. Ismagilov · The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy · 2006
A new approach is suggested to ordering of the Walsh discrete functions based on the properties of their finite-difference representations. The new relationships are used for generating a permutable sequence to construct the difference-ordered system of Walsh functions based on the Walsh-Paley system. Generalization of the Kronecker product of matrices permits to develop a technique of synthesis of the transformation matrix for another version of the difference-ordered system of Walsh functions.