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Correlation functions of BOC and AltBOC signals as the inverse Fourier transforms of energy spectra

  • On the 60th Anniversary of the Journal of Communications Technology and Electronics
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Abstract

The navigation signals with sine binary offset carrier (sinBOC), cosine BOC (cosBOC), and alternative BOC (AltBOC) modulations are discussed. A technique for calculating the correlation functions (CFs) of the single components of modulating functions (MFs) inherent to the given signals, which is based on the inverse Fourier transform (IFT) of energy spectra, is proposed. This technique makes it possible to derive analytical expressions for the CFs characterizing the single components of the MFs of sinBOC and cosBOC signals and complete AltBOC waveforms with a constant envelope at the multiplicity coefficients N m = 2‒4. The graphs of CFs are constructed. Several illustrating examples, in which most attention is paid to sinBOC, cosBOC, and AltBOC signals employed in the Galileo satellite radio-navigation system and the global positioning system, are presented.

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Authors and Affiliations

  1. Editorial Board of the Journal of Communications Technology and Electronics, ul. Mokhovaya 11, korp. 7, Moscow, 125009, Russia

    M. S. Yarlykov

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  1. M. S. Yarlykov
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Correspondence to M. S. Yarlykov.

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Original Russian Text © M.S. Yarlykov, 2016, published in Radiotekhnika i Elektronika, 2016, Vol. 61, No. 8, pp. 725–745.

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Yarlykov, M.S. Correlation functions of BOC and AltBOC signals as the inverse Fourier transforms of energy spectra. J. Commun. Technol. Electron. 61, 857–876 (2016). https://doi.org/10.1134/S1064226916080180

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  • DOI: https://doi.org/10.1134/S1064226916080180

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