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Article

  • Title

    Digital modulation method based on perfect binary arrays

  • Authors

    Kushnirenko N. I.
    Chechelnitsky V. Ya.

  • Subject

    ELECTRONICS. RADIO ENGINEERING. TELECOMMUNICATION FACILITIES

  • Year 2014
    Issue 1(43)
    UDC 621.391:621.376+004.312.26
    DOI 10.15276/opu.1.43.2014.37
    Pages 218-224
  • Abstract

    The aim is to develop the method of information transfer using perfect binary arrays, which is based on their structural and correlation properties. The properties of the equivalence class of perfect binary arrays are presented and proved in the paper. On the basis of the properties of  two-dimensional periodic cross-correlation functions between a base array and all the rest perfect binary arrays within the equivalence class the digital modulation method is proposed. This method can be used for transmission of discrete digital messages by means of cyclic wideband signals. The decoding of these signals can be implemented with a single filter matched with base perfect binary array. The proposed method can simplify hardware implementation of signal detection devices and solve the main problem of the radio communication, namely, greatly simplify the decoder circuit. The obtained results can be used in single channel synchronous communication systems with noise-like two-dimensional cyclic signals.

    Keywords: perfect binary array, digital modulation method, equivalence class, broadband signal.

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  • References

    Література
    1.    Mazurkov, M.I. Methods of improving information security by integrating multiplexing, ciphering and channel encoding operations / M.I. Mazurkov, V. Ya. Chechelnytskyi, A. N. Meleshkevich, S. N. Kropachev, N. I. Kushnirenko // Radioelectronics and Communications Systems. — 2011. — Vol. 54, Iss. 5. — PP. 227—240.
    2.    Song, Y.J. Design of Almost Perfect Complementary Sequence Pairs / Y.J. Song // International Journal of Multimedia and Ubiquitous Engineering. — 2013. — Vol. 8, No. 6. — PP. 303—312.
    3.    Кушниренко Н.И. Принципы информационной модуляции и демодуляции сигналов на основе совершенных двоичных решеток / Н.И. Кушниренко, В.Я. Чечельницкий // Матеріали Другої Всеукраїнської Інтернет-конференції «Українська наука: реалії та перспективи», 30-31 березня 2011 р., Тернопіль. — C. 11—13.

    References
    1.    M.I. Mazurkov, V.Ya. Chechelnytskyi, A.N. Meleshkevich, S.N. Kropachev, N.I. Kushnirenko. Methods of improving information security by integrating multiplexing, ciphering and channel encoding operations // Radioelectronics and Communications Systems. — 2011. — Vol. 54, No. 5. — P. 227-240.
    2.    Y.J. Song. Design of Almost Perfect Complementary Sequence Pairs / Y.J. Song // International Journal of Multimedia and Ubiquitous Engineering, 2013. — Vol. 8, No. 6. — P. 303-312.
    3.    Kushnirenko N.I., Chechelnytskyi V.Ya. Principles of information modulation and demodulation of signals based on the perfect binary arrays // Proceeding of the 2-nd Internet conference «Ukrainian Science: Realities and Prospects», 30-31 Martch, 2011, Ternopil. — P. 11 — 13.

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