Abstract
The features and statistical characteristics of cosine binary offset carrier modulated signals (BOC signals) of new-generation satellite radio navigation systems, in particular the Galileo system, are considered. Analytical expressions for the correlation functions (CFs) of the cosine meander symbols (MSs) of the pseudorandom sequence of a ranging code are found for various values of the multiplicity coefficient of meander pulses. The energy spectra of cosine MSs are obtained with the help of the Fourier transform of the CFs. Plots are depicted, and the CFs and energy spectra of cosine MSs are analyzed for the following types of meander modulation: CosBOC (1,1), CosBOC (15,10), CosBOC (10,5), and CosBOC (5,2).
Similar content being viewed by others
References
J. W. Betz, in Proc. Inst. Navigation National Technical Meeting (ION-NTM’99), San Diego, Jan. 25–27, 1999 (ION, Fairfax, 1999), p. 639.
J. W. Betz, Navigation: J. of ION 48, 227 (2001).
L. Ries, L. Lestarquit, P. Erhard, et al., in Proc. Inst. of Navigation Global Navigation System Meeting (ION GPS 2002), Portland., Sep. 24–27, 2002 (ION, Fairfax, 2002), p. 2225.
G. W. Hein, M. Irsigler, J.-A. Avila-Rodriguez, and T. Pany, in CD ROM Proc. 8th Eur. Navigation Conf. GNSS, Rotterdam, May 16–19, 2004 (Netherlands Institute of Navigation, Rotterdam, 2004).
M. S. Yarlykov, Radiotekhnika, No. 8, 3 (2007).
M. S. Yarlykov, Radiotekhnika, No. 7, 20 (2009).
J.-A. Avila-Rodriguez, G. W. Hein, S. Wallner, et al., Inside GNSS 2(5), 43 (2007).
E. S. Lohan, A. Lakhzouri, and M. Renfors, in CD ROM Proc. Eur. Navigation Conf. GNSS, Munich, July 19–22, 2005 (German Institute Navigation, Munich, 2005).
G. Lachapelle and M. Petovello, Inside GNSS 1(4), 22 (2006).
J. Wu and A. G. Dempster, Symmetry Analysis of the “BOC-PRN” Delay Locked Loop Discriminator (Univ. of New South Wales. The School of Surveying and Spatial Information Systems, Sydney, 2008); http://www.gmat. unsw.edu.au/snap/publications/wu&dempster2008b.pdf
P. Blunt, PhD Thesis (Univ. of Surrey, Guilford, 2007); http://www.gnssapplications.org/downloads/chapter2/PhDThesis-Blunt.pdf
M. S. Yarlykov, Radiotekh. Elektron. (Moscow) 54, 960 (2009) [J. Commun. Technol. Electron. 54, 912 (2009)].
M. S. Yarlykov, Radiotekhnika, No. 8, 61 (2008).
M. S. Yarlykov, Novosti Navigatsii, No. 3, 12 (2007).
G. I. Tuzov, Statistical Theory of Complex Signal Reception (Sovetskoe Radio, Moscow, 1977) [in Russian].
L. E. Varakin, Communications Systems with Noise-Like Signals (Radio i Svyaz’, Moscow, 1985) [in Russian].
V. S. Shebshaevich, P. P. Dmitriev, N. V. Ivantsevich, et al., Network Satellite Radio Navigation Systems (Radio i Svyaz’, Moscow, 1993) [in Russian].
G. W. Hein, J. A. Avila-Rodriguez, S. Wallner, et al., in Proc. IEEE/Inst. of Navigation Position, Location and Navigation Symp. (IEEE/ION-PLANS 2006), San Diego, Apr. 24–27, 2006 (ION, Fairfax, 2006), p. 883.
E. Lohan, A. Lakhzouri, and M. Renfors, EURASIP J. Appl. Signal Processing 2006(1), 157 (2006).
L. Seidl, in Proc. 16th Int. Conf. Radioelektronika, Bratislava, Slovakia, 2006 (Slovak. Univ. of Technology, Bratislava, 2006), p. 156.
G. W. Hein, J. Godet, J.-L. Issler, et al., in Proc. Inst. of Navigation Global Navigation System Meeting (ION GPS 2002), Portland., Sep. 24–27, 2002 (ION, Fairfax, 2002), p. 266.
N. Gerein, M. Olynik, and M. Clayton, in Proc. Inst. of Navigation Global Navigation System Meeting (ION GPS 2002), Portland., Sep. 24–27, 2002 (ION, Fairfax, 2002), p. 2604.
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (McGraw-Hill, New York, 1961; Nauka, Moscow, 1968).
V. I. Kaganov, Radio Circuits and Signals (FORUM, Moscow, 2005) [in Russian].
L. E. Varakin, Theory of Complex Signals (Sovetskoe Radio, Moscow, 1970) [in Russian].
A. I. Alekseev, A. G. Sheremet’ev, G. I. Tuzov, and B. I. Glazov, Theory and Application of Pseudorandom Signals (Nauka, Moscow, 1969) [in Russian].
Additional information
Original Russian Text © M.S. Yarlykov, 2010, published in Radiotekhnika i Elektronika, 2010, Vol. 55, No. 9, pp. 1056–1071.
Rights and permissions
About this article
Cite this article
Yarlykov, M.S. The statistical characteristics of navigation cosine binary offset carrier modulated signals (CosBOC signals). J. Commun. Technol. Electron. 55, 990–1004 (2010). https://doi.org/10.1134/S1064226910090056
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226910090056