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Keyword: cross-correlation function

  • TECHNOLOGICAL BASIS OF “INDUSTRY 4.0”

    Improvement of signal quality in CDMA systems on the basis of analysis of correlation properties of pseudo-random sequences

    • Gherman Sorochin
    • Tatiana Sestacova
    • Vladimir Jdanov
    Industry 4.0, Vol. 6 (2021), Issue 5, pg(s) 177-180
    • Abstract
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    The article presents a continuation of researches in the field of improvement of signal quality in data transmission systems with code division multiple access (CDMA). It is discussed the correlation properties of pseudo-random sequences (PRS) used in the formation of noise-like signals in CDMA systems. The analysis, carried out in MATLAB environment, showed that correlation properties of the Walsh functions derivatives, used for generating PRS, have much better correlation characteristics than the original Walsh functions. Besides, these properties depend on the type of generating function of Walsh functions derivatives. It was justified the advantage of using these signals in the development of CDMA systems in order to improve the signal quality.

  • THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

    Analysis of the correlation properties of direct and inverse composite Walsh functions

    • Tatiana Sestaсova
    • Gherman Sorochin
    • Vladimir Jdanov
    Mathematical Modeling, Vol. 5 (2021), Issue 1, pg(s) 3-7
    • Abstract
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    The article discusses the correlation properties of pseudo-random sequences (PRS) used in the formation of noise-like signals in code division coupled communication systems. The direct and inverse composite Walsh functions are considered. Comparative analysis of the correlation properties of the PRS is carried out in the Matlab medium. It is shown that the correlation properties of certain ensembles of composite Walsh functions are independent of the time shift. The possibility of using these signals in the development of systems with channels code separation in order to reduce the level of interference of multiple access is justified. Directions for further research have been determined.

  • THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

    Comparative analysis of pseudorandom sequences using modified Barker codes and M – sequences of the same length

    • Tatyana Sestacova
    • Gherman Sorochin
    Mathematical Modeling, Vol. 4 (2020), Issue 2, pg(s) 45-50
    • Abstract
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    •  Article PDF

    The paper discusses the correlation properties of pseudo-random sequences (PRS) used to form noise-like signals in high-speed data transmission systems. The most frequently used pseudo-random sequences are considered: modified Barker codes, M-sequences having the same length. In the Matlab medium a comparative analysis of the correlation properties of the PRS is done. It is shown, that modified Barker codes have unsatisfactory correlation properties. It is proved, that the use of M – sequences allows to obtain signals with the required correlation properties for communication systems, including systems with code division of channels. The directions of further research are determined.

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