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An approach to ordering of systems of the Walsh discrete functions

I. I. Ismagilov


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.

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