A. Flores and G. Ruffini, Rius, A. 4D tropospheric tomography using GPS slant wet delays, Ann. Geophys, vol.18, pp.223-234, 2000.

H. Seko, S. Shimada, H. Nakamura, and T. Kato, Three-dimensional distribution of water vapor estimated from tropospheric delay of GPS data in a mesoscale precipitation system of the Baiu front, Earth Planets Space, vol.52, pp.927-933, 2000.

G. Elgered, J. L. Davis, T. A. Herring, and I. I. Shapiro, Geodesy by radio interferometry: Water vapor radiometry for estimation of the wet delay, J. Geophys. Res. Solid Earth, vol.96, pp.6541-6555, 1991.

L. Gradinarsky, Sensing Atmospheric Water Vapor Using Radio Waves: Studies of the 2, 3 and 4-D Structure of the Atmospheric Water Vapor Using Ground-based Radio Techniques Comprising the Global Positioning System, Microwave Radiometry and Very Long Baseline Interferometr, 2002.

L. Gradinarsky and P. Jarlemark, Ground-Based GPS Tomography of Water Vapor: Analysis of Simulated and Real Data, J. Meteorol. Soc. Jpn, vol.82, pp.551-560, 2004.

C. Champollion, F. Masson, M. Bouin, A. Walpersdorf, E. Doerflinger et al., GPS water vapour tomography: Preliminary results from the ESCOMPTE field experiment, Atmos. Res, vol.74, pp.253-274, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00017446

S. Bastin, On the use of GPS tomography to investigate water vapor variability during a Mistral/sea breeze event in southeastern France, Geophys. Res. Lett, vol.32, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00017445

S. Bastin, C. Champollion, O. Bock, P. Drobinski, and F. Masson, Diurnal cycle of water vapor as documented by a dense GPS network in a coastal area during ESCOMPTE IOP2, J. Appl. Meteorol. Clim, vol.46, pp.167-187, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00273624

M. Troller, A. Geiger, E. Brockmann, J. Bettems, B. Bürki et al., Tomographic determination of the spatial distribution of water vapor using GPS observations, Adv. Space Res, vol.37, pp.2211-2217, 2006.

, Remote Sens, vol.12, p.35, 2020.

T. Nilsson and L. Gradinarsky, Water vapor tomography using GPS phase observations: Simulation results, IEEE Trans. Geosci. Remote Sens, vol.44, pp.2927-2941, 2006.

T. Nilsson and G. Elgered, Water vapour tomography using GPS phase observations: Results from the ESCOMPTE experiment, Tellus A Dyn. Meteorol. Oceanogr, vol.59, pp.674-682, 2007.

K. Boniface, V. Ducrocq, G. Jaubert, X. Yan, P. Brousseau et al., Impact of high-resolution data assimilation of GPS zenith delay on Mediterranean heavy rainfall forecasting, Ann. Geophys, vol.27, pp.2739-2753, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00403847

M. Bender, G. Dick, M. Ge, Z. Deng, J. Wickert et al., Development of a GNSS water vapour tomography system using algebraic reconstruction techniques, Adv. Space Res, vol.47, pp.1704-1720, 2011.

D. Perler, A. Geiger, and F. Hurter, 4D GPS water vapor tomography: New parameterized approaches, J. Geod, vol.85, pp.539-550, 2011.

R. Notarpietro, M. Cucca, M. Gabella, G. Venuti, and G. Perona, Tomographic reconstruction of wet and total refractivity fields from GNSS receiver networks, Adv. Space Res, vol.47, pp.898-912, 2011.

J. Van-baelen, M. Reverdy, F. Tridon, L. Labbouz, G. Dick et al., On the relationship between water vapour field evolution and the life cycle of precipitation systems, Q. J. R. Meteorol. Soc, vol.137, pp.204-223, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01893745

H. Brenot, A. Walpersdorf, M. Reverdy, J. Van-baelen, V. Ducrocq et al., A GPS network for tropospheric tomography in the framework of the Mediterranean hydrometeorological observatory Cévennes-Vivarais (southeastern France), Atmos. Meas. Tech, vol.7, pp.553-578, 2014.

H. Brenot, C. Champollion, A. Deckmyn, R. Van-malderen, N. Kumps et al., Humidity 3D field comparisons between GNSS tomography, IASI satellite observations and ALARO model, Geophys. Res. Abst, vol.14, pp.2012-4285, 2012.

W. Rohm and J. Bosy, Local tomography troposphere model over mountains area, Atmos. Res, vol.93, pp.777-783, 2009.

W. Rohm and J. Bosy, The verification of GNSS tropospheric tomography model in a mountainous area, Adv. Space Res, vol.47, pp.1721-1730, 2011.

V. Ducrocq, D. Ricard, J. Lafore, and F. Orain, Storm-Scale Numerical Rainfall Prediction for Five Precipitating Events over France: On the Importance of the Initial Humidity Field. Weather Forecast, vol.17, pp.1236-1256, 2002.

M. Bender, R. Stosius, F. Zus, G. Dick, J. Wickert et al., GNSS water vapour tomography-Expected improvements by combining GPS, GLONASS and Galileo observations, Adv. Space Res, vol.47, pp.886-897, 2011.

C. Champollion, C. Flamant, O. Bock, F. Masson, D. D. Turner et al., convective initiation event of IHOP_2002, Q. J. R. Meteorol. Soc, vol.135, pp.645-662, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00372548

W. Rohm, The ground GNSS tomography-unconstrained approach, Adv. Space Res, vol.51, pp.501-513, 2013.

W. Rohm, K. Zhang, and J. Bosy, Limited constraint, robust Kalman filtering for GNSS troposphere tomography, Atmos. Meas. Tech, vol.7, pp.1475-1486, 2014.

Q. Zhao, Y. Yao, and W. Yao, A troposphere tomography method considering the weighting of input information, Ann. Geophys, vol.35, pp.1327-1340, 2017.

S. Choy, K. Zhang, C. Wang, Y. Li, and Y. Kuleshov, Remote Sensing of the Earth's Lower Atmosphere during Severe Weather Events using GPS Technology: A Study in Victoria, Australia, Proceedings of the 24th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2011), pp.559-571, 2011.

M. Jenkins and S. Lillebuen, Mini-Cyclone Melbourne Storm Causes Transport Sporting Event Chaos, 2010.

L. Marshall, J. Xiao, Y. Norman, R. Zhang, K. Rea et al., The beneficial impact of radio occultation observations on Australian Region forecasts, Aust. Meteorol. Oceanogr. J, vol.60, pp.121-125, 2010.

R. Lutz, D. Loyola, S. Gimeno-garcía, F. Romahn, . Ocra et al., Atmos. Meas. Tech, vol.9, pp.2357-2379, 2016.

A. Vasilkov, J. Joiner, R. Spurr, P. K. Bhartia, P. Levelt et al., Evaluation of the OMI cloud pressures derived from rotational Raman scattering by comparisons with other satellite data and radiative transfer simulations, J. Geophys. Res, vol.113, 2008.

K. Puri, G. Dietachmayer, P. Steinle, M. Dix, L. Rikus et al., Implementation of the initial ACCESS numerical weather prediction system, Aust. Meteorol. Oceanogr. J, vol.63, pp.265-284, 2013.

T. Manning, K. Zhang, W. Rohm, S. Choy, and F. Hurter, Detecting severe weather using GPS tomography: An Australia case study, J. Glob. Position. Syst, vol.11, pp.58-70, 2012.

J. Askne and H. Nordius, Estimation of tropospheric delay for microwaves from surface weather data. Radio Sci, vol.22, pp.379-386, 1987.

R. Dach, U. Hugentobler, P. Fridez, and M. Meindl, Bernese GPS Software Version 5.0. User Manual; Astronomical Institute, 2007.

W. Rohm, Y. Yuan, B. Biadeglgne, K. Zhang, and J. L. Marshall, Ground-based GNSS ZTD/IWV estimation system for numerical weather prediction in challenging weather conditions, Atmos. Res, vol.138, pp.414-426, 2014.

J. Boehm, A. Niell, P. Tregoning, and H. Schuh, Global Mapping Function (GMF): A new empirical mapping function based on numerical weather model data, Geophys. Res. Lett, vol.33, 2006.

R. Van-malderen, H. Brenot, E. Pottiaux, S. Beirle, C. Hermans et al., A multi-site intercomparison of integrated water vapour observations for climate change analysis, Atmos. Meas. Tech, vol.7, pp.2487-2512, 2014.

J. Saastamoinen, Atmospheric Correction for the Troposphere and Stratosphere in Radio ranging of satellites, Geophys. Monogr. Ser, vol.15, pp.247-251, 1972.

H. Brenot, V. Ducrocq, A. Walpersdorf, C. Champollion, and O. Caumont, GPS zenith delay sensitivity evaluated from high-resolution numerical weather prediction simulations of the 8-9, J. Geophys. Res, vol.111, p.15105, 2002.
URL : https://hal.archives-ouvertes.fr/hal-01417608

H. Brenot, Q. Errera, C. Champollion, T. Verhoelst, N. Kumps et al., Gnss tomography and and optimal geometrical setting to retrieve water vapour density of the neutral atmosphere, Geophys. Res. Abst, vol.16, pp.2014-12204, 2014.

T. A. Herring, Modeling Atmospheric Delays in the Analysis of Space Geodetic Data, Proceedings of the Symposium on Refraction of Transatmospheric Signals in Geodesy, pp.19-22, 1992.

N. Geodetic and . Ed, , 1992.

G. Chen and T. A. Herring, Effects of atmospheric azimuthal asymmetry on the analysis of space geodetic data, J. Geophys. Res. Solid Earth, vol.102, pp.20489-20502, 1997.

P. Elósegui, J. L. Davis, L. P. Gradinarsky, G. Elgered, J. M. Johansson et al., Sensing atmospheric structure using small-scale space geodetic networks, Geophys. Res. Lett, vol.26, pp.2445-2448, 1999.

G. Ruffini, L. P. Kruse, A. Rius, B. Bürki, L. Cucurull et al., Estimation of tropospheric zenith delay and gradients over the Madrid area using GPS and WVR data, Geophys. Res. Lett, vol.26, pp.447-450, 1999.

T. Manning, Sensing the Dynamics of Severe Weather Using 4D GPS Tomography in the Australian Region, School of Mathematical and Geospatial Sciences, 2013.

G. P. Sargent, Computation of vapour pressure, dew-point and relative humidity from dry-and wet-bulb temperatures, Meteorol. Mag, vol.109, pp.238-246, 1980.

M. G. Lawrence, The Relationship between Relative Humidity and the Dewpoint Temperature in Moist Air: A Simple Conversion and Applications, Bull. Am. Meteorol. Soc, vol.86, pp.225-234, 2005.

D. Sonntag, Advancements in the field of hygrometry, Meteorol. Z, vol.3, pp.51-66, 1994.

J. L. Davis, T. A. Herring, I. I. Shapiro, A. E. Rogers, and G. Elgered, Geodesy by radio interferometry: Effects of atmospheric modeling errors on estimates of baseline length, Radio Sci, vol.20, pp.1593-1607, 1985.

R. Biondi, T. Neubert, S. Syndergaard, and J. K. Nielsen, Radio occultation bending angle anomalies during tropical cyclones, Atmos. Meas. Tech, vol.4, pp.1053-1060, 2011.

, Remote Sens, vol.12, p.30, 2020.

R. Pincus, A. Beljaars, S. A. Buehler, G. Kirchengast, F. Ladstaedter et al., The Representation of Tropospheric Water Vapor Over Low-Latitude Oceans in (Re-)analysis: Errors, Impacts, and the Ability to Exploit Current and Prospective Observations, Surv. Geophys, vol.38, pp.1399-1423, 2017.

E. R. Kursinski and T. Gebhardt, A Method to Deconvolve Errors in GPS RO-Derived Water Vapor Histograms, J. Atmos. Ocean. Technol, vol.31, pp.2606-2628, 2014.

F. Ladstädter, A. K. Steiner, M. Schwärz, and G. Kirchengast, Climate intercomparison of GPS radio occultation, RS90/92 radiosondes and GRUAN from 2002 to 2013, Atmos. Meas. Tech, vol.8, pp.1819-1834, 2015.

M. Bender and A. Raabe, Preconditions to ground based GPS water vapour tomography, Ann. Geophys, vol.25, pp.1727-1734, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00318359

G. Möller, Reconstruction of 3D Wet Refractivity Fields in the Lower Atmosphere along Bended GNSS Signal Paths

. Svh-südwestdeutscher-verlag-für-hochschulschriften, , 2017.

H. Brenot, J. Neméghaire, L. Delobbe, N. Clerbaux, P. De-meutter et al., Preliminary signs of the initiation of deep convection by GNSS, Atmos. Chem. Phys, vol.13, pp.5425-5449, 2013.

D. Hogg, F. Guiraud, and M. Decker, Measurement of excess radio transmission length on earth-space paths, Astron. Astrophys, vol.95, pp.304-307, 1981.

A. E. Niell, Global mapping functions for the atmosphere delay at radio wavelengths, J. Geophys. Res. Solid Earth, vol.101, pp.3227-3246, 1996.

M. Bevis, S. Businger, S. Chiswell, T. A. Herring, R. A. Anthes et al., Mapping Zenith Wet Delays onto Precipitable Water, J. Appl. Meteorol, vol.33, pp.379-386, 1994.

H. Vedel, K. S. Mogensen, and X. Huang, Calculation of zenith delays from meteorological data comparison of NWP model, radiosonde and GPS delays, Phys. Chem. Earth Part A Solid Earth Geod, vol.26, pp.497-502, 2001.

D. P. Dee, S. M. Uppala, A. J. Simmons, P. Berrisford, P. Poli et al., The ERA-Interim reanalysis: Configuration and performance of the data assimilation system, Q. J. R. Meteorol. Soc, vol.137, pp.553-597, 2011.

F. Zus, M. Bender, Z. Deng, G. Dick, S. Heise et al., A methodology to compute GPS slant total delays in a numerical weather model, Radio Sci, vol.47, pp.1-15, 2012.

G. Möller and D. Landskron, Atmospheric bending effects in GNSS tomography, Atmos. Meas. Tech, vol.12, pp.23-34, 2019.

A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation

, SIAM (Society of Industrial and Applied Mathematics, 2005.

I. Zelinka and L. Skanderova, Simulated Annealing in Research and Applications, Simulated Annealing-Single and Multiple Objective Problems, 2012.

G. Onwubolu and B. Babu, V New Optimization Techniques in Engineering, 2004.

M. Ka?ma?ík and L. Rapant, New GNSS tomography of the atmosphere method-Proposal and testing, Geoinform. FCE CTU, vol.9, pp.63-76, 2012.

Y. Censor and T. Elfving, Block-Iterative Algorithms with Diagonally Scaled Oblique Projections for the Linear Feasibility Problem, SIAM J. Matrix Anal. Appl, vol.24, pp.40-58, 2002.

M. Jiang and G. Wang, Convergence of the simultaneous algebraic reconstruction technique (SART), IEEE Trans. Image Process, vol.12, pp.957-961, 2003.

M. Jiang and G. Wang, Convergence studies on iterative algorithms for image reconstruction, IEEE Trans. Med. Imaging, vol.22, pp.569-579, 2003.

Y. Censor, T. Elfving, G. T. Herman, and T. Nikazad, On Diagonally Relaxed Orthogonal Projection Methods, SIAM J. Sci. Comput, vol.30, pp.473-504, 2008.

G. Qu, C. Wang, and M. Jiang, Necessary and Sufficient Convergence Conditions for Algebraic Image Reconstruction Algorithms, IEEE Trans. Image Process, vol.18, pp.435-440, 2009.