Open AccessChaotic signal masking based on orthogonal polynoms
Author(s) -
С. В. Белим,
S. Yu. Belim
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1546/1/012077
Subject(s) - signal (programming language) , chaotic , orthogonal polynomials , algorithm , mathematics , orthogonality , orthogonal basis , orthogonal functions , masking (illustration) , superposition principle , container (type theory) , computer science , mathematical analysis , artificial intelligence , physics , geometry , art , visual arts , programming language , mechanical engineering , quantum mechanics , engineering
The article discusses the approach to encoding information based on families of orthogonal polynoms. The discrete signal is represented as a superposition of orthogonal polynoms. This approach allows to be transmit the useful signal in a chaotic container without matching the parameters of the noise generators. Different orthogonal functions families are considered: trigonometric functions and, Lagrange polynomials. The parameters of orthogonal polynoms families have been studied to increase the stability and stealth of the signal. The computer experiment is made. The average number of decoding errors is calculated depending on the numerical integration step. Orthogonal polynomials require significantly larger calculations to decode the message.