It is noted that necessity of further increase of accuracy of GPS positioning systems requires de-velopment of more perfect methods to compensate information losses occurred due to residual ionospheric delay by using optimization procedures. According to the conditions of formulated optimization task, the signal/noise ratio in measurements of zenith wet delay depends on the second order ionospheric errors, geographic latitude and day of year. At the same time if we assume that the number of measurements at the fixed geographic site is proportional to geographic latitude and if we accept existence of only two antiphase scenarios for variation of residual ionospheric delay on latitude normed by their specific constant, there should be optimum functional dependence of precipitated water on latitude upon which the quantity of measuring information reaches the maximum. The mathematical grounding of solution of formulated optimization task is given.
References
[1]
Schuler, T., Hein, G.W. and Eisfeller, B. (2000) On the Use of Numerical Weather Fields for Troposphere Delay Estimation in Wide Area Augmentation Systems. Proceedings of GNSS 2000, Royal Institute of Navigation, Edinburgh, 1-4 May 2000, 1077-1093.
[2]
Stepniak, K., Wielgosz, P. and Paziewski, J. (2014) Accuracy Analysis of the Klobucher Ionosphere Model Transmitted by the GPS System. The 9th International Conference “Environmental Engineering”, Vilnius, 22-23 May 2014, 1-6. http://leidykla.vgtu.lt/conferences/ENVIRO_2014/Articles/5/246_Stepniak.pdf
[3]
Elsobeiey, M. and El-Rabbany, A. (2010) Ricorous Modeling of GPS Residual Errors for Precise Point Positioning. http://www.isprs.org/proceedings/XXXVIII/part1/09/09_04_Paper_136.pdf
[4]
Bassiri, S. and Hajj, G. (1993) High-Order Ionospheric Effects of the Global Positioning System Observables and Means of Modeling Them. Manuscripta Geodetica, 18, 280-289.
[5]
Musman, S. (2015) Ionospheric Effects on GPS Surveing. http://www.ngs.noaa.gov/PUBS_LIB/IonosphericEffectsOnGPSSurveying.pdf
[6]
Mendes, V.B., Prates, G., Santos, L. and Langley, R.B. (2000) An Evaluation of the Accuracy of Models for the Determination of the Weighted Mean Temperature of the Atmosphere. Proceedings of the 2000 National Technical Meeting of the Institute of Navigation, Anaheim, 26-28 January 2000, 433-438.