Anubis/TEQC-style code multipath estimation for every pseudorange observable in a RINEX file — per-code MP linear combinations, arc-wise ambiguity debiasing, interval-aware cycle-slip detection, and SNR series export. Built for continuous station monitoring on long time series of 1 s or 30 s data, following the methodology of Hunegnaw & Teferle (Sensors 2022).
Part of the GeoVeil suite together with geoveil-cn0 (CN0 signal quality and threat detection).
Live demo: batch.geoveil-rinex.eu — the GeoVeil batch dashboard runs this library in production: per-code MP RMS, cycle-slip counts, SNR-residual wavelet spectra, Fresnel zone maps, and long-term multipath trend monitoring on daily 30 s station data.
Installation
pip install geoveil-mp
Pre-built wheels for Linux, Windows, and macOS — no Rust toolchain required.
# Rust
[dependencies]
geoveil_mp = "0.2"
Quick Start
import geoveil_mp as gm
obs = gm.read_rinex_obs("BOR100POL_R_20240010000_01D_30S_MO.rnx")
print(obs.num_epochs, obs.num_satellites, obs.interval) # 2880 104 30.0
analyzer = gm.MultipathAnalyzer(obs, elevation_cutoff=10.0, systems=["G", "R", "E", "C"])
results = analyzer.analyze()
# One statistics row per signal code: GPSM1C, GPSM2W, GALM8X, GLOM1P, BDSM2I, ...
for s in sorted(results.statistics, key=lambda s: s.signal):
print(f"{s.signal} rms={s.rms:.3f} m n={s.count} slips={s.cycle_slips}")
# Cycle slips, counted per carrier-phase signal
print(results.cycle_slip_counts) # {'GPSL1C': 210, 'GPSL2W': 168, ...}
# Attach precise elevations from SP3 (recomputes elevation-weighted RMS)
sp3 = gm.read_sp3("COD0MGXFIN_20240010000_01D_05M_ORB.SP3")
computed, failed = results.compute_elevations(sp3, obs.approx_position)
# SNR time series per satellite and S-code (for SNR-residual multipath analysis)
for series in obs.get_snr_series("G07"):
print(series.code, len(series), series.values[:3])
What it computes
Per-code multipath combinations
For every pseudorange code observable P_k (C1C, C1X, C2W, C2X, C5X, ...), the ionosphere-free, geometry-free multipath combination is formed with two carrier phases:
MP_k = P_k − (1 + 2/(α−1))·Φ_i + (2/(α−1))·Φ_j α = (f_i / f_j)²
Φ_i— phase on the code's own band;Φ_j— phase on a partner band chosen from a deterministic per-system priority list- GLONASS FDMA frequencies use the per-satellite channel numbers from the RINEX header
- The phase-ambiguity bias is removed per continuous arc: whole-arc mean for short arcs, centered moving average (default 1500 s) for long ones
- Arcs reset at data gaps, cycle slips, and MP jumps — slips never smear into the RMS
Signals are named in the convention used by GNSS monitoring literature: GPSM1C, GPSM2W, GLOM1P, GALM8X, BDSM2I.
Cycle-slip detection
Three detectors, thresholds that scale with the sampling interval (|Δ| > base + rate·dt):
| Method | Test | Default threshold |
|---|---|---|
| Geometry-free | ΔGF per phase code vs. reference band | 0.10 m + 0.003·dt |
| Code-phase | Δ(Φ − P) per code | 5.0 m + 0.10·dt |
| LLI | RINEX loss-of-lock flags (phase only) | — |
At 30 s sampling this detects single-cycle L1 slips (GF signature ≈ 0.29 m vs. threshold 0.19 m) — rate-based thresholds tuned for 1 s data cannot. Slips are attributed and counted per signal code (GPSL2W, GLOL1C, ...).
SNR series export
RinexObsData.get_snr_series(satellite, code=None) returns per-S-code time series (unix-second timestamps, dB-Hz values) — the input for SNR-residual multipath analysis (polynomial detrending, wavelet spectra) without re-parsing the file.
Results on real data
24 h of BOR1 (EPN, Poland) 30 s multi-GNSS RINEX 3, default settings:
| Constellation | Best signal | RMS | Worst signal | RMS |
|---|---|---|---|---|
| Galileo | E5 AltBOC (M8X) | 0.165 m | E5b (M7X) | 0.395 m |
| GPS | L2C (M2X) | 0.312 m | L1 C/A (M1C) | 0.342 m |
| BeiDou | B2I (M7I) | 0.295 m | B3I (M6I) | 0.354 m |
| GLONASS | L2 P (M2P) | 0.318 m | L1 C/A (M1C) | 0.566 m |
The ranking (Galileo AltBOC best, GLONASS C/A worst) reproduces published station-monitoring results. Parsing the file takes ~0.4 s; the full 15-signal analysis with slip detection ~1.4 s (306 k estimates).
Analyzer options
gm.MultipathAnalyzer(
obs,
elevation_cutoff=10.0, # degrees; applied when elevations are known
systems=["G", "R", "E", "C"], # G R E C J S I
bias_window_seconds=1500.0, # moving-average window; None = whole-arc mean
min_arc_seconds=300.0, # drop shorter arcs
arc_gap_factor=5.0, # arc break at gap > factor × interval
include_codes=["C1C", "GC5X"],# restrict codes ("C1C" any system, "GC5X" GPS only)
exclude_codes=[],
max_epochs=None, # uniform decimation guard for huge files
detect_cycle_slips=True,
ion_delta_base=0.10, ion_delta_rate=0.003, # GF slip threshold (m, m/s)
cp_delta_base=5.0, cp_delta_rate=0.10, # code-phase slip threshold
)
API surface
| Object | Key members |
|---|---|
RinexObsData |
num_epochs, num_satellites, interval, marker_name, approx_position, satellites(), observation_types(sys), glonass_fcn(), snr_codes(sat), get_snr_series(sat, code=None) |
MultipathAnalyzer |
analyze() → AnalysisResults |
AnalysisResults |
estimates, statistics, cycle_slips, cycle_slip_counts, total_estimates(), total_cycle_slips(), compute_elevations(sp3, receiver) |
MultipathEstimate |
satellite, system, signal ("C1C"), epoch, mp_value, elevation, azimuth, snr |
MultipathStats |
signal ("GPSM1C"), system, code, count, rms, weighted_rms, mean, std_dev, min, max, cycle_slips |
CycleSlip |
satellite, epoch, signal, system, magnitude, threshold, method ("gf", "code_phase", "lli") |
SnrSeries |
satellite, system, code, times, values, epochs_iso() |
Sp3Data |
satellites(), get_position(sat, epoch), num_epochs, interval |
| Functions | read_rinex_obs, read_rinex_obs_bytes, read_sp3, calculate_azel, compute_elevation, get_frequency, get_wavelength, version |
Supported input: RINEX v2 / v3 / v4 observation files, SP3-c/d orbits, broadcast ephemerides (Keplerian + GLONASS RK4).
Pipeline
flowchart LR
A[RINEX v2/v3/v4] --> B[Parse<br/>code + phase + SNR]
B --> C[Per-code combos<br/>deterministic phase pairing]
B --> D[Cycle-slip detection<br/>GF · code-phase · LLI]
D --> E[Arc splitting]
C --> E
E --> F[Ambiguity debiasing<br/>mean / moving average]
F --> G[Per-signal statistics<br/>RMS · weighted RMS]
H[SP3 orbits] -.-> I[Elevations / azimuths]
I -.-> G
CLI
geoveil-mp analyze --obs station.rnx --sp3 orbits.sp3 --elevation 10 --output results/
geoveil-mp info --obs station.rnx
References
- Hunegnaw, A.; Teferle, F.N. Evaluation of the Multipath Environment Using Electromagnetic-Absorbing Materials at Continuous GNSS Stations. Sensors 2022, 22, 3384.
- Estey, L.H.; Meertens, C.M. TEQC: The Multi-Purpose Toolkit for GPS/GLONASS Data. GPS Solutions 1999, 3, 42–49.
- Václavovic, P.; Douša, J. G-Nut/Anubis: Open-Source Tool for Multi-GNSS Data Monitoring. IAG Symposia 2016, 143.
License
MIT — see LICENSE.
Author
Miluta Dulea-Flueras — miluta.flueras@cartografie.ro
Citation
@software{geoveil_mp,
author = {Dulea-Flueras, Miluta},
title = {geoveil-mp: GNSS Code Multipath Analysis Library},
year = {2026},
version = {0.2.0},
url = {https://github.com/miluta7/geoveil-mp},
license = {MIT}
}
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