A new hydrostatic mapping function for tropospheric delay estimation

Saha, Korak; Raju, C. Suresh; Parameswaran, K.

doi:10.1016/j.jastp.2009.10.017

Cited by 6 publications

(3 citation statements)

References 26 publications

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“…Thus, mapping functions at a given zenith angle (or elevation angle) project zenith tropospheric delay along satellite direction (Collins & Langley, 1999). Several models of mapping functions can be used to relate inclined tropospheric delay, such as the simple mapping function 1 / cos (Z) (Saastamoinen, 1972), suitable for zenith angles (Z) up to 70 ° (Saha et al, 2010). Others, such as the functions developed by Marini (1972); Ifadis (1986); Herring (1992); Niell (1996); Foelsche & Kirchengast (2002); Böhm et al (2006a), Böhm et al (2006b) and Landskron & Böhm (2017) can be used for greater zenith angles.…”

Section: Introductionmentioning

confidence: 99%

Effects of Tropospheric Refraction on Precise Point Positioning in Brazil

Braga

Poz

2022

PESQUI GEOCIENC

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Troposphere is one of the most limiting sources of error in the accuracy of 15 Precise Point Positioning method. This work aims to analyze the effects of tropospheric 16 delay on this positioning technique by applying the Bernese scientific program to GNSS 17 data belonging to the Brazilian Network for Continuous Monitoring of GNSS Systems. 18 GNSS data are related to several climatic zones, including Amazon region, referring to four 19 seasons. The data were processed considering six strategies, each one using different 20 troposphere models and mapping functions for analysis. Results were evaluated according 21 to the Root Mean Square, estimated for 15 processing days for each season, involving 89 22 GNSS stations. Results show that the greatest effects of the tropospheric delay occurred in 23 the equatorial region, related to the altimetric component, in all seasons of the year. This 24 climatic zone is under a strong influence of the Amazon region, which presents high annual 25 humidity values. In addition, it can occur a great humidity variation in this region, which 26 can compromise the process of estimating wet component of tropospheric delay. Finally, 27 results showed that the best processing strategy was the use of the Vienna mapping function 28 in conjunction with corrections based on the Numerical Weather Forecast model.

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Section: Introductionmentioning

confidence: 99%

Effects of Tropospheric Refraction on Precise Point Positioning in Brazil

Braga

Poz

2022

PESQUI GEOCIENC

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“…e electromagnetic signal sent by the satellite to the ground receiving equipment must pass through the troposphere. Because the troposphere is nondispersive [1], there will be a delay in the process of electromagnetic propagation, and this delay cannot be reduced by a combination method like the ionosphere delay. e tropospheric delay can reach 2.3 m in the zenith direction and can reach 20 m at low-elevation angle [2], which depends on pressure, temperature, and humidity along the path of the signal transmission.…”

Section: Introductionmentioning

confidence: 99%

“…is simple mapping function was found to be quite suitable for estimating the slant delay of zenith angles up to 70°. For higher zenith angles, this function will severely fail [1]. Under the large zenith angle, Marini [9] proposed that mapping function can be approximated as a continuous fraction.…”

Section: Introductionmentioning

confidence: 99%

The Impact of Different Mapping Function Models and Meteorological Parameter Calculation Methods on the Calculation Results of Single-Frequency Precise Point Positioning with Increased Tropospheric Gradient

Liu¹,

Ren

Gao

et al. 2020

Mathematical Problems in Engineering

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Tropospheric delay is one of the main errors in precise point positioning (PPP). The inaccuracy of the tropospheric delay model will inevitably lead to a decrease in PPP accuracy. Therefore, the influence of the tropospheric gradient on the positioning accuracy should be considered in the processing of tropospheric delay. At the same time, the effects of different mapping function models and meteorological parameter calculation methods on the tropospheric delay accuracy of single-frequency PPP (SF PPP) are analyzed. Twelve MGEX stations, which are evenly distributed in the world, are used in this article. Taking into account the seasonal variation of the tropospheric delay, the observation times adopted are 2016, 2017, and 2018 for different seasons (winter, day of year (DOY): 22–28; spring, DOY: 92–98; summer, DOY: 199–205; and autumn, DOY: 275–281). Then, according to different mapping function models and meteorological parameter calculation methods, a total of 7056 tests and 9072 tests are performed, respectively. The following results were obtained after comparative analysis. (1) When the same method is used for calculating meteorological parameters, the percentage with improved tropospheric delay repeatability calculated by the Hopfield mapping function model (MFM3) is the highest, reaching more than 70%, and by Vienna Mapping Functions 3 (VMF3, grid resolution is 1°), the mapping function model (MFM8) is the lowest, less than 67.5%. The percentage with improved position repeatability is highest in the north (N) direction and lowest in the up (U) direction. (2) Using the same mapping function model, the correction of the tropospheric gradient model has a greater impact on calculating the repeatability percentage of the tropospheric delay and the position. Compared with standard atmospheric parameters, other calculation methods of meteorological parameters have little effect on the percentage increase of the tropospheric delay value and the positioning result after adding the tropospheric gradient model. It shows that different calculation methods of meteorological parameters have little effect on the calculation of tropospheric delay and position, different mapping function models have a large effect on the calculation of tropospheric delay and position, and the tropospheric gradient model has the greatest influence on the calculation of tropospheric delay and position.

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Mathematical Models for GPS Positioning

Luo

2013

GPS Stochastic Modelling

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A new hydrostatic mapping function for tropospheric delay estimation

Cited by 6 publications

References 26 publications

Effects of Tropospheric Refraction on Precise Point Positioning in Brazil

Effects of Tropospheric Refraction on Precise Point Positioning in Brazil

The Impact of Different Mapping Function Models and Meteorological Parameter Calculation Methods on the Calculation Results of Single-Frequency Precise Point Positioning with Increased Tropospheric Gradient

Mathematical Models for GPS Positioning

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