Theoretical approaches to the synthesis of discrete signals with necessary properties

I.D Gorbenko,A.A Zamula

doi:10.30837/rt.2021.3.206.02

Abstract

Methods for information exchange, formation and processing of data used in information and communication systems (ICS), as well as classes of broadband signals used as a physical data carrier, do not provide the necessary (for individual ICS applications) indicators of cyber and information security, noise immunity of reception signals and secrecy of IKS functioning. Most of the existing systems use signals, the construction of which is based on linear laws, which allows an attacker, based on the establishment of the parameters of the signals used in the system, to carry out deliberate interference in the operation of the ICS with minimal energy consumption. The article presents conceptual approaches to the construction of secure ICS, which determine the need to cover the entire spectrum of information transformations in the complex, and based on the synthesis of signal systems with improved ensemble, correlation, structural properties. A method is proposed for synthesizing discrete derivatives of signals based on nonlinear discrete complex cryptographic signals (CS) and orthogonal signals formed on the basis of the rows of the Hadamard matrix (initial signals),. Based on computer modeling and the performed calculations, it is shown that the derivative signals formed on the basis of cryptographic sequences and rows of the Hadamard matrix have improved properties compared to orthogonal and linear classes of signals. Approaches to the construction are stated and a general characteristic of the hardware-software complex for synthesis, analysis, study of properties, generation, processing of a number of studied signal classes is given. It is shown that the use of such signals will improve such indicators of the system functioning as information security, noise immunity of signal reception and secrecy of functioning.

Highlights

Global trends of increasing threats to information and cybersecurity, increasing the level of vulnerability of information and communication systems (ICSs) necessitate the development and implementation of new models, methods and technologies for managing telecommunications networks, information security, services and service quality, development of information exchange methods, methods for synthesizing new classes of complex discrete signals-data carriers with the necessary ensemble, correlation and structural properties
The choice of the Cryptographic signals (CS) is due to the fact that this class of signals has improved autocorrelation, ensemble, structural properties, as well as statistical properties of cross-correlation functions
Based on computer simulation and calculations, it is shown that derived signals formed based on cryptographic sequences and rows of the Hadamard matrix have improved, compared to orthogonal and linear signal classes, ensemble, correlation and structural properties

Summary

Introduction

Global trends of increasing threats to information and cybersecurity, increasing the level of vulnerability of information and communication systems (ICSs) necessitate the development and implementation of new models, methods and technologies for managing telecommunications networks, information security, services and service quality, development of information exchange methods, methods for synthesizing new classes of complex discrete signals-data carriers with the necessary ensemble, correlation and structural properties. To ensure frequency redundancy at the physical level, discrete signals have been widely used, in which the manipulated parameters (amplitude, phase, frequency) are changed at strictly fixed time intervals. Efforts of researchers are aimed at finding ensembles of complex signals, the characteristics of which with increasing duration approach the limit of "dense packing" [13], i.e., the ensemble, all members of which have zero constant component, ideal periodic function of autocorrelation (PFAC) and periodic function of cross-correlation (PFCC), and have the largest possible volume

Theoretical basis of synthesis of discrete derivative signals

Matrix row No

Rб max N

Signal class

Yes Yes

Conclusions