Properties of correlation functions of Gold’s sequence

Authors

  • O. D. Mrachkovskiy National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev
  • A. A. Chasnyk National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev
  • Yu. Yu. Reutskaya National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev http://orcid.org/0000-0003-1954-9100

DOI:

https://doi.org/10.20535/RADAP.2011.46.65-71

Keywords:

phase manipulated signal Gold’s sequence, correlation analyze, ambiguity function, potential resolutions

Abstract

The article shows the correlation properties of phase manipulated signal (PSK) Gold’s sequence. We have calculated the ambiguity function for this signal and held her comprehensive study: cross-section along the axes of time and speed, the research of isocorelation in the strong and weak correlations area were calculated potential resolutions for the PSK Gold’s sequence. Also analyzed the cross-correlation function for different speeds and the periodic autocorrelation function. Basing on these results a comparative analysis of the PSK Gold’s sequence and PSK max length sequence were realized.

Author Biographies

O. D. Mrachkovskiy, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Cand. Of Sci (Technics), Senior Lecturer

A. A. Chasnyk, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

graduate student

Yu. Yu. Reutskaya, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Assistant

References

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Пітерсон У., Уелдон Э. Коди, що виправляють помилки: Пер. з англ./Под ред. Р.Л. Добрушина, С.И. Самойленко. –.М: Мир, 1976. – 594 с.

Gold R. Maximal Recursive Sequences with 3-valued Recursive Cross-correlation Functions/–IEEE Trans. Inf. Th., 1968, v. IT-14, N 1, р. 154-156.

Gold R. Optimal Binary Sequences for Spread Spectrum Multiplexing.–IEEE Trans., Inf. Th., 1967, v. IT-13, N 4, p. 619-621.

Peter H. Dana. Global positioning system overview. http://www.colorado.edu/geography/gcraft/notes/gps/gps.html, 1999

F. Jessie MacWilliams and Neil A. Sloane. Psuedo-random sequences and arrays. Proceedings of the IEEE, 1976.

Варакин Л.Е. Теория сложных сигналов. – М.: Сов. радио, 1978 – 304 с.

Holly Moore. MATLAB for Engineers (2nd Edition)

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How to Cite

Мрачковський, О., Часник, А. А. and Реутська, Ю. (2011) “Properties of correlation functions of Gold’s sequence”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(46), pp. 65-71. doi: 10.20535/RADAP.2011.46.65-71.

Issue

No. 46 (2011)

Section

Radio Circuits and Signals

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