Designation of the Quality of EGNOS+SDCM Satellite Positioning in the Approach to Landing Procedure

Abstract

The main aim of this paper is to present the results of research on the application of a modified mathematical model to determine the quality parameters of SBAS (Satellite Based Augmentation System) satellite positioning in aviation. The authors developed a new calculation strategy to determine the resultant values of the parameters of accuracy, continuity, availability and integrity of SBAS positioning. To achieve it, a weighted mean model was used for the purposes of developing a mathematical algorithm to determine the resultant values of SBAS positioning. The created algorithm was implemented for two SBAS supporting systems, i.e., EGNOS (European Geostationary Navigation Overlay Service) and SDCM (System of Differential Correction and Monitoring). The algorithm was tested in a flight test conducted with a Diamond DA 20-C airplane in north-eastern Poland in 2020. The conducted research revealed that the resultant error of the position in 3D space determined with use of the proposed weighted mean model improved by, respectively, 1–7% in comparison to the standard arithmetic mean model and by 1–37% in comparison to a single SBAS/EGNOS solution. Moreover, the application of the Multi-SBAS positioning algorithm results in an increase in the nominal results of continuity and availability by 50% in comparison to the arithmetic mean model. Apart from that, the values of the integrity parameters determined with use of the proposed weighted mean model improved by 62–63% in comparison to the standard arithmetic mean model.

Overbounding Ifree errors based on bayesian Gaussian mixture model for ground-based augmentation system

“…The error displays a large tail when the elevation is minor. Due to the overbounding cumulative distribution function (CDF) [26] necessitating the location parameter 𝜇 is zero while the dual-component GMM REDM is recognized and specified in (4).…”

“…The reference station of GBAS broadcasts disparity correlation with truthfulness parameters [2], [3]. The GBAS verifies the integrity in three ways: delivering disparity correlations of local-area and elimination of generalmode errors; delivering the authorized user through a personalized monitor for system faults; and enabling the user to create a residual error bound to make navigation actions [4]. Due to free electrons, the ionospheric delay along the path of the Global Navigation Satellite System (GNSS) signal is circulated consistently under normal conditions [5].…”

Analysis of the Determination of the Accuracy Parameter for Dual Receivers Based on EGNOS Solution in Aerial Navigation

“…The position errors (𝑑𝐵 𝑅𝑥1 , 𝑑𝐿 𝑅𝑥1 , 𝑑ℎ 𝑅𝑥1 ) and (𝑑𝐵 𝑅𝑥2 , 𝑑𝐿 𝑅𝑥2 , 𝑑ℎ 𝑅𝑥2 ) were determined based on the comparison of the coordinates of the aircraft obtained from GPS solution with EGNOS corrections and the reference position of the flight calculated with the use of the RTK-OTF differential technique [8,10]. The aircraft position was estimated based on GPS data as a GNSS system and also EGNOS corrections as a SBAS system [31,32].…”

Study on the Positioning Accuracy of the GNSS/INS System Supported by the RTK Receiver for Railway Measurements

“…Another advantage of the RTN technique is that the coordinate positioning accuracy does not decrease with the distance from the reference station so that the results are not inferior to those obtained by the RTK technique [51]. GNSS geodetic networks are primarily used in agriculture and forestry, engineering construction, geodesy and geodynamics [52,53], hydrography and hydrology [54,55], metrology [56], navigation and transport applications [57][58][59], as well as spatial information systems [60,61]. Moreover, work is currently underway to determine the position coordinates with high accuracy in areas with numerous terrain obstacles [62,63].…”