Ganzenko Generation and properties 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
  • V. A. Ganzenko National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

DOI:

https://doi.org/10.20535/RADAP.2011.45.52-57

Keywords:

Gold’s sequences, correlation, formation, Fourier analysis

Abstract

The article shows principles generation of Gold's sequences, shown a block diagram of sequence generator, based on shift registers and step by step description of its work. We calculated the spectral characteristics of sequences of different lengths. Based on the analytical representation of the spectrum of the sequence was obtained expression for calculating the bandwidth. For Gold’s sequences of different length were calculated autocorrelation functions and levels of lateral release in comparison with the max length sequence, also were considered a periodic autocorrelation.

Author Biographies

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

Мрачковський О.Д., к.т.н., доцент кафедри радіотехнічних пристроїв та систем

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

Часник А. А., магістрант радіотехнічного факультету

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

Ганзенко В.А., студент радіотехнічного факультету

References

Чеботарев Н.Г., Основы теории Галуа. Ч. I Изд. 2., 2004. с.224

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

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.

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

Holly Moore. MATLAB for Engineers (2nd Edition)

How to Cite

Мрачковський, О., Часник, А. А. and Ганзенко, В. (2011) “Ganzenko Generation and properties of Gold’s sequence”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(45), pp. 52-57. doi: 10.20535/RADAP.2011.45.52-57.

Issue

Section

Radio Circuits and Signals

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