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Analytical Models of Correlation Functions, DLL Discriminator Outputs and Multipath Envelope Errors for CosBOC(m, n) Modulated Signals in Coherent and Non-coherent Configurations

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Abstract

This paper focuses on analytically modeling the multipath error effects in the code tracking Delay-Locked-Loop (DLL) with standard and narrow early–late correlators of Global Navigation Satellite System (GNSS) for Cosine Binary Offset Carrier (CosBOC) modulated signal. The latter one will be part of the modernized American Global Positioning System (GPS), the Russian GLONASS (GLObal NAvigation Satellite System in English), the new European Galileo and the Chinese Compass/BeiDou systems, signal plan. The mathematical formalism of the analytical model of the Correlation Function is proposed for any CosBOC modulated signal. Also derived, are the models of the DLL Discriminator Functions and the Multipath Error Envelopes for both coherent and non-coherent configurations. The computer implementations have shown that all the proposed models match closely the numerical ones.

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Authors and Affiliations

  1. Electrical Engineering Department, University of Bejaia, 06000, Bejaia, Algeria

    Sihem Zitouni

  2. LIS Laboratory, Electronics Department, University of Sétif 1, 19000, Setif, Algeria

    Djamel Chikouche

  3. Electronics Department, University of M’sila, 28000, M’sila, Algeria

    Djamel Chikouche

  4. ETA Laboratory, Electronics Department, University of Bordj Bou Arréridj, 34031, Elanasser, Algeria

    Khaled Rouabah

  5. LTII Laboratory, Electrical Engineering Department, University of Bejaia, 06000, Bejaia, Algeria

    Karim Mokrani

Authors
  1. Sihem Zitouni
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  2. Djamel Chikouche
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  3. Khaled Rouabah
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  4. Karim Mokrani
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Correspondence to Khaled Rouabah.

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Zitouni, S., Chikouche, D., Rouabah, K. et al. Analytical Models of Correlation Functions, DLL Discriminator Outputs and Multipath Envelope Errors for CosBOC(m, n) Modulated Signals in Coherent and Non-coherent Configurations. Wireless Pers Commun 82, 911–951 (2015). https://doi.org/10.1007/s11277-014-2259-0

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