Modeling and synthesis of ensembles of multi-valued orthogonal code sequences of various classes based on eigenvectors of Hermitian matrices

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Abstract

Eigenvectors of tridiagonal Hermitian matrices are used to model and synthesize ensembles of multi-valued orthogonal code sequences of various classes. Conditions are determined under which, within the set of ensembles of multi-valued orthogonal code sequences modeled by the eigenvectors of Hermitian matrices, distinct classes of binary, multi-level, and multi-phase code sequences are distinguished.

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About the authors

A. P. Zhuk

North Caucasus Federal University

Author for correspondence.
Email: alekszhuk@mail.ru

Cand. of Tech. Sc., Professor

Russian Federation, Stavropol

V. P. Pashintsev

North Caucasus Federal University

Email: pashintsevp@mail.ru

Dr. of Tech. Sc., Professor

Russian Federation, Stavropol

D. D. Puiko

North Caucasus Federal University

Email: d.puiko@yandex.ru

Student

Russian Federation, Stavropol

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Supplementary files

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2. Fig. 1. A variant of an ensemble of multilevel orthogonal code sequences with dimension L = 4

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3. Fig. 2. Variant of an ensemble of polyphase orthogonal code sequences with dimension L = 4

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4. Fig. 3. AMOKP model based on the S'4 matrix

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5. Fig. 4. A variant of the model of ensembles of multiphase orthogonal code sequences represented by the system of eigenvectors (28)

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6. Fig. 5. Model of an ensemble of binary orthogonal code sequences represented by the system of eigenvectors (31) of the symmetric tridiagonal matrix (30)

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