Method of Masking Digital Messages by Chaotic Sequences, Formed with Chebyshev Polynomials of the 1st Kind of Different Orders

Abstract

Due to the wide application of signals with OFDM - modulation, security is becoming more and more important. In this paper, we propose a security method of masking digital messages in signals with OFDM-modulation by chaotic sequences formed with Chebyshev's polynomials of the 1-st kind of different orders. The evaluation of Independent and Identically Distributed (IID) security (level of masking the signal to noise) of signals formed with the proposed method is passing over. Simulation results have shown that in comparison with systems that use harmonical signals with OFDM-modulation, chaotic signals with OFDM-modulation with signal constellation can ensure a higher level of IID-security. This has been confirmed by the computed values of Brock Dechert Scheinkman (BDS) statistics, the type of time realization, energy spectrum, and “shape” in the pseudo-phase space. The obtained results give grounds to claim that the application of the proposed method will allow providing the required level of IID-secrecy in systems with OFDM-modulation. Consequently, it can provide reliable data protection from unauthorized access, which is especially relevant for information telecommunication systems for special purposes.