Proceedings of the 21st International Workshop on Computer Science and Information Technologies (CSIT 2019)

Computer Modeling of Orthogonal in the Amplified Sense Signal

Authors
Aleksandr P. Zhuk, Viktor V. Sazonov, Dmitrii V. Orel, Vladimir P. Pashintsev
Corresponding Author
Aleksandr P. Zhuk
Available Online December 2019.
DOI
https://doi.org/10.2991/csit-19.2019.37How to use a DOI?
Keywords
Signals sets, orthogonality, correlation, spectrum, Hermitian matrix, two-diagonal matrix.
Abstract

The article solved the problem of finding analytic dependency showing the influence coefficients of the second diagonal Hermitian matrix by correlation and spectral properties defined by it in the amplified sense of orthogonal signals. The analytical dependences between the coefficients of the second diagonal of the Hermitian matrix and the correlation and spectral characteristics of ensembles of discrete orthogonal signals in the amplified sense are determined. The use of formulas allows for specific selection of ensembles orthogonal in the amplified sense signals, which reduces the time of synthesis. When the values of the diagonal coefficients modules are constant, the arguments of these coefficients do not affect the values of the modules of the unit elements of sets of discrete orthogonal signals in the amplified sense. The value of the eigenvector arguments of a two-diagonal Hermitian matrix is determined by the arguments of its diagonal coefficients. Correlation functions of signals with equal values of modules of unit elements are determined only by the values of their arguments. For certain ratios of modules and arguments of coefficients of second diagonal Hermitian matrix and corresponding minors can be obtained the required levels of lateral peaks of the correlation functions and the values of the relative effective width of the spectrum of the synthesized ensemble of discrete orthogonal in the amplified sense signals.

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 21st International Workshop on Computer Science and Information Technologies (CSIT 2019)
Series
Atlantis Highlights in Computer Sciences
Publication Date
December 2019
ISBN
978-94-6252-868-0
ISSN
2589-4900
DOI
https://doi.org/10.2991/csit-19.2019.37How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Aleksandr P. Zhuk
AU  - Viktor V. Sazonov
AU  - Dmitrii V. Orel
AU  - Vladimir P. Pashintsev
PY  - 2019/12
DA  - 2019/12
TI  - Computer Modeling of Orthogonal in the Amplified Sense Signal
BT  - Proceedings of the 21st International Workshop on Computer Science and Information Technologies (CSIT 2019)
PB  - Atlantis Press
SP  - 215
EP  - 217
SN  - 2589-4900
UR  - https://doi.org/10.2991/csit-19.2019.37
DO  - https://doi.org/10.2991/csit-19.2019.37
ID  - Zhuk2019/12
ER  -