Provision of Security of Wireless Information Transmission Systems in View of Correlation Properties of Code Sequences

Abstract

The purpose of the work is to study ensembles of orthogonal multiphase code sequences obtained by computing the eigenvectors of Hermitian matrices with different values of arguments satisfying the required correlation characteristics. One of the properties of Hermitian matrix eigenvectors is their orthogonality, which allows to arrange them in orthogonal ensembles suitable for use in code-separated information transmission systems. Being one of the main characteristics of the code sequence, determining the stability and reliability of information transmission are autocorrelation and cross-correlation functions. Concurrently, the use of Hermitian matrices will enable the existence of a vast array of orthogonal ensembles that possess the requisite correlation properties It is known that the number of orthogonal structures used in code-division signal communication systems directly affects the structural secrecy of the entire data transmission system. The novelty of the work consists in studying the influence of arguments of coefficients of the basic Hermitian matrix on the values of side peaks of correlation functions of coded sequences obtained from its eigenvectors. The result consists in obtaining the ranges of admissible values that can be set by the arguments of the Hermitian matrix coefficients so that the side peaks of the correlation functions of coded sequences satisfy the necessary conditions.