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MODIFIED INVARIANT AMPLITUDE MODULATION
DOI: 10.36724/2072-8735-2020-14-6-13-19
Valerii V. Lebedyantsev, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia, lebvv1951@mail.ru
Sergey S. Abramov, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia, abramov@sibsutis.ru
Ivan I. Pavlov, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia, iipavlov02@mail.ru
Evgenii V. Morozov, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia
Evgeniia S. Abramova, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia, evgenka_252@mail.ru
Mariia S. Pavlova, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia, mspavlova@ngs.ru
Abstract
The article proposes and studies an invariant system for transmitting messages over linear communication channels that uses a more universal method of invariant amplitude modulation than the well-known method. The synthesis of a new method of invariant amplitude modulation is based on the use of a mathematical apparatus that is still little known in the communication theory — the theory of transformation groups-to describe the transformation of signals by communication channels. The description of communication channels by the corresponding transformation groups opens the possibility of using invariants of these groups for undistorted message transmission. In particular, linear communication channels are described by an affine group of transformations that has one of the invariants in the form of a so-called «three-point relationship». In relation to communication problems, this relation can be formulated in the simplest case as the preservation by a linear channel of the ratio of the lengths of vectors of transmitted signals that have similar, i.e. differ only in the scalar multiplier of the form. Such signals are represented by vectors that lie along a straight line that passes through the origin of the signal space coordinate system. In this case, the coordinate axes of the space correspond to the basic functions of the generalized Fourier series used to represent signals in the functional space. The article describes a modification of the known invariant amplitude modulation that transmits the values of information elements by the ratio of the lengths of signal vectors lying on a single line passing through the origin of the coordinate system of the signal space. Modification of this modulation allows using signals whose vector ends lie on a straight line that does not necessarily pass through the origin of the signal space coordinate system. This gives you the opportunity to use in a greater variety of signals, not just signals of similar shape as in the well-known invariant of amplitude modulation that can be useful to enhance immunity against a specific type of interference and to secrecy of messages transmitted. The article contains an assessment of the noise immunity of a communication system with modified invariant amplitude modulation to white noise and a description of its block diagram.
Keywords: communication channel transformation group, transformation group invariant, modified invariant amplitude modulation, noise immunity, invariant communication system.
References
1. Lebedyancev V.V. (1995). Development and research of methods of analysis and synthesis invariant communication systems. Dissertation for the degree of doctor of technical Sciences. Novosibirsk.
2. Efimov N.V. (1978). Higher geometry. Moscow: Nauka. 576 p.
3. Horn R., Johnson CH. (1989). Matrix analysis. Translated from the English language. Moscow: Mir. 656 p.
4. Levin B.R. (1969). Theoretical foundations of static radio engineering. Book one. Moscow: Sovetskoe radio. 752 p.
5. Zajezdnia A.M. (1969). Fundamentals calculations at static radio. Moscow: Svyaz. 448 p.
Information about authors:
Valerii V. Lebedyantsev, Siberian State University of Telecommunications and Information Science, head of the department of automatic electrical communication, Novosibirsk, Russia
Sergey S. Abramov, Siberian State University of Telecommunications and Information Science, head of the department of radio engineering devices, Novosibirsk, Russia
Ivan I. Pavlov, Siberian State University of Telecommunications and Information Science, associate Professor of technosphere security Department, Novosibirsk, Russia
Evgenii V. Morozov, Siberian State University of Telecommunications and Information Science, Novosibirsk, Russia
Evgeniia S. Abramova, Siberian State University of Telecommunications and Information Science, associate Professor of radio engineering devices, Novosibirsk, Russia
Mariia S. Pavlova, Siberian State University of Telecommunications and Information Science, assistant of the Department of radio engineering devices, Novosibirsk, Russia