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Research ArticleOriginal Article
Open Access

Characterization and Performance Assessment of BeiDou-2 and BeiDou-3 Satellite Group Delays

Oliver Montenbruck, Peter Steigenberger, Ningbo Wang, and André Hauschild
NAVIGATION: Journal of the Institute of Navigation September 2022, 69 (3) navi.526; DOI: https://doi.org/10.33012/navi.526
Oliver Montenbruck
1Deutsches Zentrum für Luft- und Raumfahrt (DLR), German Space Operations Center (GSOC), 82234 Weßling, Germany
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  • For correspondence: [email protected]
Peter Steigenberger
1Deutsches Zentrum für Luft- und Raumfahrt (DLR), German Space Operations Center (GSOC), 82234 Weßling, Germany
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Ningbo Wang,
2Chinese Academy of Sciences (CAS), Aerospace Information Research Institute (AIR), No 9 Dengzhuang South Road, Beijing 100094, China
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André Hauschild
1Deutsches Zentrum für Luft- und Raumfahrt (DLR), German Space Operations Center (GSOC), 82234 Weßling, Germany
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  • FIGURE 1
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    FIGURE 1

    Schematic representation of BeiDou-2 and BDS-3 signal spectra in the lower and upper L-band; blue and red colors indicate open service and restricted signals, respectively. In-phase (I) and quadrature-phase (Q) components are shown on orthogonal planes. Next to its name, the modulation scheme is indicated for each signal (BPSK: binary phase shift keying; BOC: binary offset carrier; QMBOC: quadrature multiplexed binary offset carrier; ACE-BOC asymmetric constant envelope binary offset carrier). Numbers in brackets denote the chipping rates of the ranging codes and sub-carriers in multiples of 1.023 MHz.

  • FIGURE 2
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    FIGURE 2

    Mean values of broadcast DCBs provided in the BeiDou navigation messages over the year 2021

  • FIGURE 3
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    FIGURE 3

    Temporal evolution of TGD1 values transmitted in 2021 by BDS-2 and BDS-3 satellites (colors from blue to red refer to individual spacecraft in the order of ascending SVN)

  • FIGURE 4
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    FIGURE 4

    Box-whisker plots showing the median (colored lines), inter-quartile range (IQR; shaded boxes), and 1.5⋅IQR whiskers of standard deviations of individual satellite DCBs in the CAS and DLR products for the BDS-2 and BDS-3 constellation; outliers exceeding the 1.5⋅IQR limits are marked by open circles.

  • FIGURE 5
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    FIGURE 5

    Standard deviation of DCB differences between DLR and CAS products, as well as broadcast TGDs and CAS DCBs

  • FIGURE 6
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    FIGURE 6

    Differences of broadcast TGD1 and CAS C2I-C6I DCBs for BDS-3 MEO satellites; colors from blue to red denote individual satellites in ascending SVN order.

  • FIGURE 7
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    FIGURE 7

    Scatter plot of TGD1 – DCBC2I-C6I differences illustrating the receiver type dependence of B1I-B3I group delays (bold black plus signs indicate the mean value of the TGD-DCB difference for BDS-2 and BDS-3 satellites after zero-mean alignment of the constellation-wide differences; s denotes the slope of a trendline relating data for each receiver pair)

  • FIGURE 8
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    FIGURE 8

    Scatter plot of TGDB1Cp – DCBC1P-C6I and TGDB1Cp – TGDB2ap – DCBC1P-C5P differences illustrating the receiver type dependence of B1C-B3I and B1C-B2a group delays (in the case of Trimble and Javad receivers, pilot-only DCBs were substituted by DCBs from pilot+data tracking; s denotes the slope of a trendline relating data for each receiver pair)

  • FIGURE 9
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    FIGURE 9

    Satellite-specific clock biases Embedded Image of broadcast ephemerides relative to precise ephemerides for different user signals s and satellites i

Tables

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    TABLE 1

    BeiDou Open Service Signals

    SignalBandf0 [MHz]RINEXNav. Msg.Satellites
    B1C(d+p)B11575.420C1D/P/XCNAV-1BDS-3
    B1IB1-21561.098C2ID1/D2BDS-2/3S/3
    B3IB31268.520C6ID1/D2BDS-2/3S/3
    B2IB2b1207.140C7ID1/D2BDS-2
    B2b-I/[Q]B2b1207.140C7D/P/ZCNAV-3BDS-3
    B2a(d+p)B2a1176.450C5D/P/XCNAV-2BDS-3
    [B2ab]B2ab1191.795C8D/P/X–BDS-3
    • Note: Square brackets denote selected signals that are transmitted and can be tracked by various receivers but are not formally described as part of an official signal specification. Next to the center frequency f0, the corresponding RINEX observation codes and the navigation messages transmitted on the respective signals are provided.

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    TABLE 2

    BeiDou Broadcast Group Delays

    Navigation MessageSignalGroup Delay ParameterRINEX Equivalent
    D1/D2B1I, B2I, B3ITGD1C2I-C6I
    TGD2C7I-C6I
    CNAV-1B1CTGDB1CpC1P-C6I
    TGDB2apC5P-C6I
    ISCB1cdC1D-C1P
    CNAV-2B2aTGDB1CpC1P-C6I
    TGDB2apC5P-C6I
    ISCB2adC5D-C5P
    CNAV-3B2b-ITGDB2bIC7D-C6I
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    TABLE 3

    Number of Stations Contributing to CAS and DLR DCB Products Near the Beginning and Ending of 2021

    SignalCASDLR
    BeginEndBeginEnd
    C2I190205110120
    C6I14018095110
    C7I190205110120
    C1P40903050
    C1X25502535
    C5P40903050
    C5X30903035
    C7D1060
    C7Z20352020
    C8X20351515
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    TABLE 4

    Receiver-Type-Specific Subsets of IGS Network for BeiDou DCB Analysis

    SetReceiversNumber
    1JavadTRE_330
    2LeicaGR10/25/30/5015
    3SeptentrioAsterRx-4, PolaRx-4TR/-5/-5TR30
    4TrimbleNetR9, Alloy20–45
    • Note: The number of contributing stations may differ for legacy and modernized signals.

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    TABLE 5

    Signal-Dependent Group Delay Corrections of Satellite Clock Offsets in Broadcast Ephemerides (bce) and Precise Reference Ephemerides (ref) for SISRE Monitoring of Selected Single- and Dual-Frequency Navigation Services

    MessageUser signal(s)BroadcastReference
    D1B1IEmbedded ImageEmbedded Image
    B3IEmbedded ImageEmbedded Image
    B1I, B3IEmbedded ImageEmbedded Image
    CNAV-1B1CEmbedded ImageEmbedded Image
    B3IEmbedded ImageEmbedded Image
    B1C, B3IEmbedded ImageEmbedded Image
    B2aEmbedded ImageEmbedded Image
    B1C, B2aEmbedded ImageEmbedded Image
    • Note: fb denotes the frequency for the frequency band b (cf. Table 1).

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    TABLE 6

    SISRE Values and Contributions for BDS-3 MEO Satellites

    MessageSignalsSISREorbTSISRET0Tb
    D1B1I0.120.380.400.250.28
    B3I0.120.440.450.250.35
    B1I, B3I0.120.600.620.250.56
    CNAV-1B1C0.110.420.430.250.33
    B3I0.110.440.450.250.35
    B1C, B3I0.110.530.540.250.48
    B2a0.110.410.430.250.32
    B1C, B2a0.110.450.460.250.38
    D1+CNAV-2B1I, B2a0.110.420.430.250.34
    • Note: All values in m.

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NAVIGATION: Journal of the Institute of Navigation: 69 (3)
NAVIGATION: Journal of the Institute of Navigation
Vol. 69, Issue 3
Fall 2022
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Characterization and Performance Assessment of BeiDou-2 and BeiDou-3 Satellite Group Delays
Oliver Montenbruck, Peter Steigenberger, Ningbo Wang,, André Hauschild
NAVIGATION: Journal of the Institute of Navigation Sep 2022, 69 (3) navi.526; DOI: 10.33012/navi.526

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Characterization and Performance Assessment of BeiDou-2 and BeiDou-3 Satellite Group Delays
Oliver Montenbruck, Peter Steigenberger, Ningbo Wang,, André Hauschild
NAVIGATION: Journal of the Institute of Navigation Sep 2022, 69 (3) navi.526; DOI: 10.33012/navi.526
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  • Article
    • Abstract
    • 1 INTRODUCTION
    • 2 BEIDOU SIGNAL OVERVIEW
    • 3 PSEUDORANGE AND DCB OBSERVATION MODEL
    • 4 BEIDOU BROADCAST GROUP DELAYS
    • 5 IGS DCB PRODUCTS
    • 6 RECEIVER DEPENDENCY OF SATELLITE GROUP DELAYS
    • 7 POSITIONING AND TIMING
    • 8 SUMMARY AND CONCLUSIONS
    • HOW TO CITE THIS ARTICLE
    • ACKNOWLEDGEMENTS
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Keywords

  • BeiDou
  • DCB
  • group delays
  • ISC
  • SISRE
  • TGD

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