Formation Algorithms and Properties of Binary Quasi-Orthogonal Code Sequence of Modern Satellite Systems

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    Increased number of threats to user interface of navigation signals, mainly in the form of suppression of navigation signals by jamming as well as navigation signal spoofing by false signals, assumes development of counter measures including improvement of structure security of navigation signals on the basis of stochastic use of code sequences which are ranging codes. This article proves the required number of unique discrete code sequences which can improve structure security of navigation signal in global navigation satellite system upon their stochastic use. Properties of discrete quasi-orthogonal code sequences are estimated which are used and proposed for use in global navigation satellite systems with channel code division, they are compared with optimum values of code balancing, number of element series and lower bounds of maximum lateral peaks of aperiodic auto-correlation function and maximum peaks of aperiodic mutual-correlation function. The experimental results show that the minimum values of the considered correlation functions of discrete quasi-orthogonal code sequences of known global navigation satellite systems exceed the lower bound by 3–6 times. The performances of code balancing and element series of discrete quasi-orthogonal code sequences of the known global navigation satellite systems satisfy in average the allowable intervals. The number of source lines of discrete quasi-orthogonal code sequences of the known global navigation satellite systems is significantly lower than their umber required for improvement of structure security of navigation signal based on their stochastic use. On the basis of the revealed drawbacks of the known discrete quasi-orthogonal code sequences, the necessity to develop new methods is substantiated allowing to obtain their required number together with statistic properties comparable with the best values of discrete quasi-orthogonal code sequences applied as navigation signals in global navigation satellite systems.

     

     


  • Keywords


    Global navigation satellite systems with code channel division; structure security of navigation signals; stochastic use of binary quasi-orthogonal code sequences

  • References


      [1] GSA GNSS Market Report. 2012. http://www.gsa.europa.eu/sites/default/files/MarketReportMEP72012WEB.PDF

      [2] Dyatlov, A.P., Kul'bikayan, B.Kh. 2006. Radiomonitoring izluchenii sputnikovykh radionavigatsionnykh sistem: monografiya [Remote monitoring of radiations of satellite navigation systems: Monograph]. Moscow, Radio i svyaz'.

      [3] Dyatlov, A.P., Dyatlov, P.A., Kul'bikayan, Kh. 2004. Radioelektronnaya bor'ba so sputnikovymi radionavigatsionnymi sistemami [Electronic warfare with satellite navigation systems]. Moscow, Radio i svyaz'.

      [4] Stepanov, S.A. 1987. O chisle neprivodimykh nad konechnym polem mnogochlenov zadannogo vida [On number of preset irreducible polynomial over finite field]. Matem. zametki, 41(3), 289–295.

      [5] Scott, L. 2012. Spoofs, Proofs and Jamming. Inside GNSS, 5, 42–53.

      [6] Warner, J.S., Johnston, R.G. 2003. GPS Spoofing Countermeasures. Homeland Security Journal, 8.

      [7] Urlichich, Yu.M., Subbotin, V.A., Stupak, G.G., Dvorkin, V.Z., Povalyaev, A.A., Karutin, S.N. 2011. Innovatsiya: GLONASS. Strategii razvitiya [Innovations: GLONASS. Development strategies]. Sputnikovaya navigatsiya i KVNO. Overview, 2. IATs TsNIImash, 18–22.

      [8] Perov, A.I., Kharisov, V.N. 2010. GLONASS. Printsipy postroeniya i funktsionirovaniya [GLONASS. Principles of arrangement and operation]. 4th edition, revised and supplemented. Moscow, Radiotekhnika.

      [9] European GNSS (Galileo) Open Service Signal In Space Interface Control Document, 1. 2010.

      [10] Golomb, S. 1967. Shift Register Sequences. San Francisco, Holden-Day.

      [11] Varakin, L.E. 1978. Teoriya sistem signalov [Theory of signal systems]. Moscow, Sovetskoe radio.

      [12] Kanevskii, Z.M., Litvinenko, V.P., Makarov, G.V., Maksimov, D.A. 2006. Osnovy teorii skrytnosti: [Foundations of security theory. Guidebook]. Voronezh, VGU.

      [13] Pchelintsev, A.P. 2008. Novye signaly GLONASS [New GLONASS signals]. On-line journal "Integrirovannye Sputnikovye Navigatsionnye Sistemy", 2, 4–6.

      [14] Ipatov, V.P. 1992. Periodicheskie diskretnye signaly s optimal'nymi korrelyatsionnymi svoistvami [Periodic discrete signals with optimum correlation properties]. Moscow, Radio i svyaz'.

      [15] Levenshtein, V.I. 1999. New Lower Bounds on Aperiodic Crosscorrelation of Binary Codes. IEEE Transactions on Information Theory, 1(45), 284–288.

      [16] Orel, D.V., Zhuk, A.P., Ivanov, A.S. 2009. Generator of spreading sequences of navigation signals with estimation of correlation properties. Certificate of State registration of computer program № 2010610800.

      Orel, D.V., Zhuk, A.P. 2009. Issledovanie korrelyatsionnykh kharakteristik rasshiryayushchikh posledovatel'nostei signalov s kodovym razdeleniem kanalov sistem sputnikovoi radionavigatsii [Studying correlation properties of spreading sequences of signals with code division of radio navigation satellite systems]. Reshetnev Readings: Proceedings of 13 International Scientific Conference devoted to the 50h Anniversary of Siberian State Aerospace University: in two parts. Krasnoyarsk, Siberian State Aerospace University, 1, 154–156.

 

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Article ID: 27763
 
DOI: 10.14419/ijet.v7i4.38.27763




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