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Search and Modification of Code Sequences Based on Circulant Quasi-orthogonal Matrices

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Intelligent Decision Technologies (IDT 2020)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 193))

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Abstract

In order to improve noise-immune encoding in telecommunication channels and recognition of a useful signal in significant interference conditions, there is a need for new, advanced coding sequences. This paper is devoted to the problems of searching and examining new error-correcting codes constructed on the basis of circulant quasi-orthogonal matrices and used for phase modulation of signals in the radio channel. The paper presents requirements for well-known coding sequences for lengths greater than 13 bits. The estimates of characteristics of the new coding sequences allow us to compare them with other well-known coding sequences that are widely used in practice. The advantages of the codes, obtained in this work, are discussed in the aspects of improving the correlation characteristics, their detection, and noise immunity in the radio channels of contemporary systems.

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Acknowledgements

The reported study was funded by a grant of Russian Science Foundation (project No. 19-79-003) and by RFBR, project number 19-29-06029.

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Authors and Affiliations

  1. Saint-Petersburg State University of Aerospace Instrumentation, 67 Bolshaya Morskaya Street, Saint-Petersburg, 190000, Russian Federation

    Alexander Sergeev, Mikhail Sergeev, Vadim Nenashev & Anton Vostrikov

Authors
  1. Alexander Sergeev
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  2. Mikhail Sergeev
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  3. Vadim Nenashev
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  4. Anton Vostrikov
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Corresponding author

Correspondence to Anton Vostrikov .

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Editors and Affiliations

  1. Gdynia Maritime University, Gdynia, Poland

    Ireneusz Czarnowski

  2. KES International Research, UK

    Robert J. Howlett

  3. Faculty of Engineering and Information Technology, Centre for Artificial Intelligence, University of Technology Sydney, Sydney, NSW, Australia

    Lakhmi C. Jain

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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Sergeev, A., Sergeev, M., Nenashev, V., Vostrikov, A. (2020). Search and Modification of Code Sequences Based on Circulant Quasi-orthogonal Matrices. In: Czarnowski, I., Howlett, R., Jain, L. (eds) Intelligent Decision Technologies. IDT 2020. Smart Innovation, Systems and Technologies, vol 193. Springer, Singapore. https://doi.org/10.1007/978-981-15-5925-9_20

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