Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. No. 6
ContentsFull text in Russian (pdf)
DOI https://doi.org/10.30898/1684-1719.2021.6.
7UDC 621.396.018.424
Method of nonlinear code multiplexing of a multiphase group sequence
O. Yu. Berdyshev
16 Central Research and Testing Institute of the Order of the Red Star named after Marshal of the Communication Troops A.I.Belov of the Ministry of Defense of the Russian Federation,
Komarova str., 5, Mytischi, Moscow region 141006, Russia
The paper was received on June 4, 2021
Abstract. This paper presents the generalization of the method of nonlinear code multiplexing of a binary group sequence is considered for the r – phase group sequences. A transition to a complex space, as well as using definite integrals, and conversion of the Cartesian chart while turning at a set angle are used to form the r – phase group sequence with a constant power from the multiphase summary group sequence, which consist of the sum of the r – phase information orthogonal sequences. As a result, the multiphase summary group sequences are mapped to the r-phase group sequences with constant power, which contain the information orthogonal r-phase sequences which are a part of these summary group sequences. Analytical expressions of the r – phase group sequences with constant power are obtained for even values of r. If the r is 4 the final formulas of group sequences with the constant power at the odd quantity of the information orthogonal sequences in the summary group sequences is obtained. The method of nonlinear code multiplexing of a multiphase group sequence considered in this paper, can be applied to increase capacity of communication channels with nonlinear code multiplexing.
Keywords: nonlinear code multiplexing, multiphase summary group sequence, r-phase group sequence, r-phase information orthogonal sequence, complex space sector, correlation coefficient.
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For citation:
Berdyshev O.Yu. Method of nonlinear code multiplexing of a multiphase group sequence. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2021. No.6. https://doi.org/10.30898/1684-1719.2021.6.7 . (In Russian)