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Establishment of local geodetic networks based on least-squares adjustments of GNSS baseline vectors

Weiss Gabriel, Labant Slavomír, Gasinec Juraj, Stankova Hana, Cernota Pavel, Weiss Erik, Weiss Roland

Advances in Geodesy and Geoinformation

2022

Vol. 71, no. 1

art. no. e15, 2022

Slope deformations, i.e., all types of landslides of rock masses (flow, creep, fall down, etc.), caused by gravitational forces, are the most widespread implementation of geological hazards and a negative geomorphological phenomenon that threatens the security of the population, destroy all utility values of the affected regions, negatively affects the environment, and cause considerable economic damage. Nowadays, the Global Navigation Satellite Systems (GNSS) provide accurate data for precise observations around the world due to the growing number of satellites from multiple operators, as well as more powerful and advanced technologies and the implementation of mathematical and physical models more accurately describing systematic errors that degrade GNSS observations such as ionospheric, tropospheric, and relativistic effects or multipath. The correct combination of measurement methods provides even more precise, i.e., better measurement results or estimates of unknown parameters. The combination of measurement procedures and their significant evaluations represent the essential attribute of deformation monitoring of landslides concerning the protection of the environment and the population’s safety in the interest areas for the sustainable development of human society. This article presents the establishment and use of a local geodetic network in particular local space for various needs. Depending upon the specific conditions, it is possible to use GNSS technology to obtain accurate observations and achieve the results applicable to the deformation survey for subsequent processing of the adjustment procedure.

Evaluation of functional device suitability considering both random technological deviations of its parameters from their nominal values and the process of components’ aging

Bobalo Y., Dyvak M., Krepych S., Stakhiv P.

Przegląd Elektrotechniczny

2014

R. 90, nr 4

224--228

One of main parameters of a device is its functional suitability. In the course of the device operation, the device components change their parameters under influence of environment; this process is called aging. Under such conditions, the problem of evaluating functional suitability of the device emerges that needs to be solved taking into account real processes of its aging.

W pracy omówiono problem zmian funkcjonalności urządzenia ze względu na technologiczne odchylenia parametrów od wartości nominalnych i procesów starzenia.

Niedokładość współrzędnych punktu w przestrzeni euklidesowej

Jaworski J.

Zeszyty Naukowe. Elektryka / Politechnika Śląska

2005

z. 195

91-100

W artykule przedstawiono model niedokładności położenia punktu w przestrzeni wielowymiarowej. Model opisuje błędy współrzędnych wektorem losowym o łącznym rozkładzie normalnym. Miarą niedokładności jest elipsoida ufności - uogólnienie przedziału ufności z przestrzeni jednowymiarowej. Omówiono operację przenoszenia błędu z jednej współrzędnej do drugiej. Podano przykłady zastosowania tej operacji.

The paper presents model of inaccuracy of the point position in multi-dimensional space. Model treats coordinate errors as random vector and assumes its normal distribution. Measure of inaccuracy is the confidence ellipsoid - generalization of the confidence interval in one-dimensional space. The rule of the error transferring from one to another coordinate is given and examples of using this rule are given, too.