Open AccessThe chaotic masking message model using orthogonal functions
Author(s) -
S. Yu. Belim,
Sergei Belim
Publication year - 2020
Publication title -
sbornik naučnyh trudov ngtu
Language(s) - English
Resource type - Journals
ISSN - 2307-6879
DOI - 10.17212/2307-6879-2020-1-2-67-76
Subject(s) - signal (programming language) , chaotic , algorithm , masking (illustration) , trigonometric functions , orthogonal functions , computer science , rectangle , noise (video) , mathematics , orthogonal polynomials , white noise , representation (politics) , trigonometry , digital signal , transmission (telecommunications) , artificial intelligence , telecommunications , mathematical analysis , art , geometry , image (mathematics) , politics , political science , law , visual arts , programming language
The model for chaotic signal masking is proposed in the article. The digital signal in the bit representation is encoded using a family of orthogonal functions. Random white noise is superimposed on the resulting analog signal. The white noise amplitude is significantly greater than the amplitude of the signal. The functions orthogonal property is used to retrieve a useful signal. The advantage proposed this model is that it is not necessary to match the noise generators in the source and in the receiver of the message. The integration operation is required to retrieve the message. The using a simple rectangle scheme is discussed. The comparative computer experiment is based on two families of orthogonal functions: simple trigonometric functions and orthogonal Lagrange polynomials. It has been shown that using the trigonometric function family results in fewer errors when retrieving a message.