Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. №12
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DOI: https://doi.org/10.30898/1684-1719.2021.12.7  

UDC: 621.396.018.424

 

The Optimization of Multiphase Group Sequences Generated by the Nonlinear Code Multiplexing

 

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 Russia

141006, Moscow Region, Mytishchi, Komarova str. 5

 

The paper was received December 15, 2021.

 

Abstract. This paper presents the challenge of optimization of r-phase group sequences obtained from the nonlinear code multiplexing. It shows that at optimal element wise methodology for group sequences in a full system of r-phase orthogonal sequences, a maximum criterion for the minimum distance of group sequences is equal under certain conditions amounted to a maximum criterion for the minimum module of the integrated correlation response to the data for the orthogonal sequences. For group sequences whish are not under these conditions a maximum criterion for the minimal deviation of the integrated correlation response to the informational orthogonal sequences within the scope of decision – making is received. The algorithm of optimization of group sequences was suggested, which is to achieve this maximum of the minimal deviation by changing the phase of some elements of the group sequence. Additionally, the algorithm of receiving of the entire group sequence among the nearest group sequences was developed. This algorithm provides considerable increasing of immunity while signal data receiving unlike the other algorithm of element-to-element receiving in a system of r-phase orthogonal sequences.

Key words: nonlinear code multiplexing, r-phase group sequence, r-phase orthogonal sequences, complex spectral vector, complex correlation response, element-to-element receiving, optimization algorithm.

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For citation:

Berdyshev O.YU. The optimization of multiphase group sequences generated by the nonlinear code multiplexing. Zhurnal Radioelektroniki [Journal of Radio Electronics] [online]. 2021. №12. https://doi.org/10.30898/1684-1719.2021.12.7 (In Russian)