Compatibility of Receiver Types for GLONASS Widelane Ambiguity Resolution Simon Banville, Paul Collins and François Lahaye Geodetic Survey Division, Natural Resources Canada Presented at the PPP Workshop, June 2013, Ottawa, Canada
2 Outline GLONASS inter-frequency phase biases Calibration vs estimation of phase biases Characterization of GLONASS inter-frequency code biases Application to the Melbourne-Wübbena combination Summary and future work
3 Inter-frequency phase biases Carrier-phase biases are only “apparent” biases: Computing the reference ambiguity using [phase – code] can cause an apparent frequency-dependent bias due to a misalignment between phase and code observables. [Sleewaegen et al. 2012] Between-receiver phase observation Receiver-clock parameter DD ambiguity Reference ambiguity
4 Inter-frequency phase biases From Sleewaegen et al. (2012). Apparent carrier-phase biases:
5 Calibration vs estimation GLONASS inter-frequency phase biases can be calibrated [Wanninger 2012] :
6 Calibration vs estimation GLONASS inter-frequency phase biases can also be estimated on the fly [Banville et al. 2013] : A system of n observations and n unknowns can be defined. DD ambiguities will be integers if reference satellites have adjacent frequency numbers. Reference satellites
7 Calibration vs estimation From Banville et al. (2013). UNBN (NovAtel) – UNBJ (Javad) baseline Ambiguities naturally converge to integers.
8 Inter-frequency code biases For long-baseline ambiguity resolution (or PPP), use of the Melbourne-Wübbena combination is often made. Need to deal with inter-frequency code biases (IFCB)… Application of the phase-bias estimation strategy can absorb the linear component of IFCB. Do IFCB have a linear dependency on the frequency channel number? If so: no calibration needed! If not: are they consistent for a given receiver type?
9 Inter-frequency code biases Test network: 145 stations from EUREF on
10 Inter-frequency code biases Pre-analysis using ionosphere-free code observations Based on code residuals from PPP (GPS+GLONASS). If ionosphere-free IFCB have a linear dependency on the frequency channel number, so will the narrowlane IFCB used in the Melbourne-Wübbena combination.
11 Inter-frequency code biases Trimble [C1/P2] (32) Leica [C1/P2] (68) Ionosphere-free IFCB (from PPP) Leica antennas without domes Ashtech antenna Older firmware Ashtech antenna
12 Inter-frequency code biases NovAtel [C1/P2] (6) Septentrio [C1/P2] (4) Ionosphere-free IFCB (from PPP) PolarX4 PolarX3 14 hours of data missing
13 Inter-frequency code biases Javad [C1/P2] (16) Javad Legacy [P1/P2] (7) Ionosphere-free IFCB (from PPP) AOAD/M_T OSOD Note: Javad Legacy receivers show a certain compatibility. Sampling was not sufficient to draw significant conclusions for other Javad models.
14 Inter-frequency code biases Topcon [C1/P2] (19) Topcon NetG3 [P1/P2] (5+8) Ionosphere-free IFCB (from PPP) ??? Note: There is a certain consistency between models for Topcon receivers, although there are “outliers” and a dependency on antenna type. From NRCan “Outliers” Non-linear
15 Inter-frequency code biases Summary Most receivers show a quasi-linear dependency of the IFCB with respect to the frequency channel number. For a given receiver make, IFCB can be affected by: Antenna type and domes Receiver model (and firmware version) Residuals effects will propagate into clock/bias estimates and could create inconsistencies if not accounted for: calibration is required.
16 Application to Melbourne-Wübbena Methodology: Estimate one set of daily satellite M-W biases (1/satellite) for Leica receivers. Estimate one set of daily satellite M-W offsets (1/satellite) per receiver type (to check for receiver compatibility). Estimate each station M-W bias, reference ambiguity and a widelane ambiguity per arc. Fix ALL ambiguity parameters to closest integer and look at residuals.
17 Application to Melbourne-Wübbena Internal consistency Leica (68 stations) 92.8% < 0.15 cycles
18 Application to Melbourne-Wübbena Internal consistency Offset w.r.t. Leica Trimble (32 stations) 90.6% < 0.15 cycles
19 Application to Melbourne-Wübbena Internal consistency Offset w.r.t. Leica NovAtel (6 stations) 97.7% < 0.15 cycles
20 Application to Melbourne-Wübbena Internal consistency Offset w.r.t. Leica Septentrio (4 stations) 98.9% < 0.15 cycles
21 Application to Melbourne-Wübbena Internal consistency Javad (14 stations) 78.7% < 0.15 cycles Notes: Javad Legacy and Javad Delta don’t seem compatible. Javad Legacy only (7) [P1/P2]: 91.9% < 0.15 cycles Larger sampling needed to analyze Javad Delta.
22 Application to Melbourne-Wübbena Internal consistency Topcon (19 stations) 64.6% < 0.15 cycles Notes: Topcon NetG3, NetG3A, EGG_D and Odyssey don’t seem compatible. Dependency on antenna type and “outliers”.
23 Summary and future work Application of the phase-bias estimation strategy to the (undifferenced) Melbourne-Wübbena combination: Removes the linear trend of the narrowlane IFCB. Residual IFCB effects are estimated as a part of the M-W satellite biases. One set (or more) of biases is needed per receiver type (unless compatible). Not all receiver/antenna combinations can be accommodated by this approach at this point... The method can still allow GLONASS widelane ambiguity resolution on a rather large subset of stations.
24 Summary and future work Future work For ION GNSS 2013: Apply M-W GLONASS biases to processing of long baselines. What is the stability of GLONASS satellite M-W biases? Generate ionosphere-free GLONASS satellite clocks.
25 References Banville, S., P. Collins and F. Lahaye (2013). “GLONASS ambiguity resolution of mixed receiver types without external calibration,” GPS Solutions. Published online. Sleewaegen, J.M., A. Simsky, W. de Wilde, F. Boon and T. Willems (2012). “Demystifying GLONASS inter-frequency carrier phase biases,” InsideGNSS, Vol. 7, No. 3, pp Wanninger, L. (2012). “Carrier-phase inter-frequency biases of GLONASS receivers,” Journal of Geodesy, Vol. 86, No. 2, pp
26 Questions