Reduction of PPP convergence period through pseudorange multipath and noise mitigation

Seepersad, Garrett; Bisnath, Sunil

doi:10.1007/s10291-014-0395-3

Cited by 47 publications

(31 citation statements)

References 10 publications

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“…The estimation of the M P can be accomplished through a linear combination of pseudorange and carrier phase observables. Here, two different methodologies are used: the CMC and the MP observable . The GNSS pseudorange P and carrier phase λϕ observables may be expressed as follows:

P = ρ + italiccδ t_{RX} - italiccδ t_{S} + T + I + M_{P} + ε_{P}

italicλϕ = ρ + italiccδ t_{RX} - italiccδ t_{S} + T - I + italicNλ + M_{ϕ} + ε_{ϕ}

where P is the code observable, ρ is the true line‐of‐sight, δt RX is the receiver clock offset, δt S is the satellite clock offset, T is the tropospheric delay, I is the ionospheric delay, M P is the code multipath, ε P comprises the receiver hardware delays and receiver noise of the code measurements, λ is the wavelength at the selected frequency, ϕ is the carrier phase observable in units of cycles, N is the integer wavelength ambiguity, M ϕ is the carrier phase multipath, and ε ϕ comprises the receiver hardware delays and receiver noise of the carrier phase measurements.…”

Section: Measurement Modelmentioning

confidence: 99%

“…It is used to characterize the magnitude of the pseudorange multipath and noise for any GNSS system by the TEQC software . Pseudorange multipath can be estimated by the following equations :

{mp}_{1} = P_{1} - ((), 1 + \frac{2}{α - 1}) λ_{1} ϕ_{1} + ((), \frac{2}{α - 1}) λ_{2} ϕ_{2} = {MP}_{1} + ε_{P_{1}} + K + italicId

{mp}_{2} = P_{2} - ((), \frac{2 α}{α - 1}) λ_{1} ϕ_{1} + ((), \frac{2 α}{α - 1}) λ_{2} ϕ_{2} = {MP}_{2} + ε_{P_{2}} + K + italicId

where the subscripts 1 and 2 denote L1 and L2 bands, mp 1 and mp 2 are the estimates of the code multipath error, P 1 and P 2 are the code observables, λ 1 and λ 2 are the wavelengths, ϕ 1 and ϕ 2 are the carrier phase observables in units of cycles, MP 1 and MP 2 are the code multipath,

ε_{P_{1}}

and

ε_{P_{2}}

are the receiver noise error of the code measurements, K is a constant term associated with phase ambiguities, Id is a term associated with instrumental delays, and

α = ((), \frac{f_{1}}{f_{2}})

with f 1 being the frequency on the L1 band and f 2 the frequency on the L2 band. Equations and contain pseudorange multipath, noise, and errors due to phase ambiguities and instrumental delays.…”

Section: Measurement Modelmentioning

confidence: 99%

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GNSS Code Multipath Short-time Fourier Transform Analysis

Robustelli

Pugliano

2018

J Inst Navig

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Global Navigation Satellite System pseudorange multipath errors cannot be analyzed with the Fourier transform as they are non‐stationary; thus, other tools must be used. The objective of this paper is to investigate short‐time Fourier transform (STFT) performance in detecting Global Positioning System code multipath and analyzing its frequency content. Multipath estimation was achieved by using the code‐minus‐carrier and the pseudorange multipath observable. Two real datasets were analyzed. A first experiment was carried out using data provided by the Jiufeng (China) International GNSS Service station. The theoretical multipath time‐frequency signature was identified by analyzing time series provided by a simulator under the same conditions of the analyzed station. The spectrograms calculated on the real data and those calculated on the simulated data show the same pattern, assessing the effectiveness of the STFT performance. Based on these results, the STFT analysis was applied to a second dataset collected in a strong multipath scenario in Naples (Italy), allowing identification of the multipath sources. © 2018 Institute of Navigation

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P = ρ + italiccδ t_{RX} - italiccδ t_{S} + T + I + M_{P} + ε_{P}

italicλϕ = ρ + italiccδ t_{RX} - italiccδ t_{S} + T - I + italicNλ + M_{ϕ} + ε_{ϕ}

Section: Measurement Modelmentioning

confidence: 99%

“…It is used to characterize the magnitude of the pseudorange multipath and noise for any GNSS system by the TEQC software . Pseudorange multipath can be estimated by the following equations :

{mp}_{1} = P_{1} - ((), 1 + \frac{2}{α - 1}) λ_{1} ϕ_{1} + ((), \frac{2}{α - 1}) λ_{2} ϕ_{2} = {MP}_{1} + ε_{P_{1}} + K + italicId

{mp}_{2} = P_{2} - ((), \frac{2 α}{α - 1}) λ_{1} ϕ_{1} + ((), \frac{2 α}{α - 1}) λ_{2} ϕ_{2} = {MP}_{2} + ε_{P_{2}} + K + italicId

ε_{P_{1}}

and

ε_{P_{2}}

are the receiver noise error of the code measurements, K is a constant term associated with phase ambiguities, Id is a term associated with instrumental delays, and

α = ((), \frac{f_{1}}{f_{2}})

Section: Measurement Modelmentioning

confidence: 99%

GNSS Code Multipath Short-time Fourier Transform Analysis

Robustelli

Pugliano

2018

J Inst Navig

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“…The maximum influence of the multipath effect on the carrier phase is typically a quarter of the wavelength [17], which is two orders of magnitude smaller than its influence on the code. In the case of single site—without considering the multipath effects of the carrier phase—the code multipath can be estimated with a linear combination of code and carrier phase [7,22,23]:

m p_{i} = P_{i} - Φ_{i} + 2 λ_{i}^{2} \frac{Φ_{j} - Φ_{i}}{λ_{j}^{2} - λ_{i}^{2}} + ε_{i}

where mp is the multipath effect of the code in meters, P is the measurement of code in meters, Φ is the measurement of carrier phase in meters, and λ is the respective wavelengths in meters. In addition, ε is the measurement noise and j is a frequency different from i .…”

Section: Multipath Observations and Analysismentioning

confidence: 99%

“…Multipath effects are a major error source that jeopardizes GNSS positioning accuracy. The effects influence the accuracy of single-point positioning (SPP); moreover, severe multipath effects slow the convergence of precision point positioning (PPP) [7,8]. Therefore, mitigating the multipath influence is critical for improving GNSS positioning accuracy.…”

Section: Introductionmentioning

confidence: 99%

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Global Navigation Satellite System Multipath Mitigation Using a Wave-Absorbing Shield

Yang

Sun

2016

Sensors

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Code multipath is an unmanaged error source in precise global navigation satellite system (GNSS) observation processing that limits GNSS positioning accuracy. A new technique for mitigating multipath by installing a wave-absorbing shield is presented in this paper. The wave-absorbing shield was designed according to a GNSS requirement of received signals and collected measurements to achieve good performance. The wave-absorbing shield was installed at the KUN1 and SHA1 sites of the international GNSS Monitoring and Assessment System (iGMAS). Code and carrier phase measurements of three constellations were collected on the dates of the respective installations plus and minus one week. Experiments were performed in which the multipath of the measurements obtained at different elevations was mitigated to different extents after applying the wave-absorbing shield. The results of an analysis and comparison show that the multipath was mitigated by approximately 17%–36% on all available frequencies of BeiDou Navigation Satellite System (BDS), Global Positioning System (GPS), and Global Navigation Satellite System (GLONASS) satellites. The three-dimensional accuracies of BDS, GPS, and GLONASS single-point positioning (SPP) were, respectively, improved by 1.07, 0.63 and 0.49 m for the KUN1 site, and by 0.72, 0.79 and 0.73 m for the SHA1 site. Results indicate that the multipath of the original observations was mitigated by using the wave-absorbing shield.

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GPS/BDS Real-Time Precise Point Positioning for Kinematic Maritime Positioning

Yang

Zhao

et al. 2017

Lecture Notes in Electrical Engineering

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Reduction of PPP convergence period through pseudorange multipath and noise mitigation

Cited by 47 publications

References 10 publications

GNSS Code Multipath Short-time Fourier Transform Analysis

GNSS Code Multipath Short-time Fourier Transform Analysis

Global Navigation Satellite System Multipath Mitigation Using a Wave-Absorbing Shield

GPS/BDS Real-Time Precise Point Positioning for Kinematic Maritime Positioning

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