Abstract:Research interest in Global Navigation Satellite System (GNSS) is increasing in the past few years due to its wide applicability in many application-oriented environments, such as automobile navigation system and aircraft landing system. Global Positioning System (GPS) is one of the GNSSs having high precision navigation performance. Multipath is a dominant error source that occurs in several GPS applications, limiting the performance. To reduce the multipath effects of satellite signals, an effective multipat… Show more
“…For the pseudo‐range equation that was simplified to a linear equation, the four unknowns [Δ x , Δ y , Δ z , Δ δt u ] T should be solved 19 . When there were four satellites and the matrix G was full rank, the equations had only one solution, as shown in Equation 7.…”
Section: The Beidou Methods Of Least Squaresmentioning
confidence: 99%
“…For the pseudo-range equation that was simplified to a linear equation, the four unknowns [Δx, Δy, Δz, Δ t u ] T should be solved. 19 When there were four satellites and the matrix G was full rank, the equations had only one solution, as shown in Equation 7. If the rank of the matrix G was less than 4, the matrix had no array solution and this became an ideal situation.…”
Section: Solving Linear and Nonlinear Equationsmentioning
confidence: 99%
“…The accuracy factor can be expressed by the following equation: Horizontal accuracy factor: (19) Height accuracy factor:…”
Section: Analysis Of Positioning Accuracymentioning
At present, China's Beidou Navigation Satellite System (BDS) has been successfully applied in all walks of life and entered a period of rapid development. The least squares algorithm is often used to solve problems in the application of BDS, while the quaternary nonlinear equation set is used for solving the BDS PVT positioning and timing issues. The solution of least squares is an iterative process, but if the convergence threshold is too small in the iterative process, it may lead to continuous iteration without convergence. Therefore, a least squares algorithm based on dynamic threshold was proposed in this paper. The proposed algorithm could continue iteration until convergence by increasing the system's dynamic threshold. At the same time, the proposed algorithm could also change the satellite combination in time, so as to conduct the positioning and calculation again over the threshold value that increases to a fixed value but fails to converge. Also, the BDS computation process was programmed and simulated. Simulation results show that even if the threshold is set too small, it converges well. During the operation of Beidou-based geological disaster monitoring system in the Three Gorges Reservoir Region, the algorithm not only effectively prevents the program failure in Beidou satellite positioning caused by the convergence failure of algorithm iteration but also greatly improves the stability and reliability of the system program operation.
“…For the pseudo‐range equation that was simplified to a linear equation, the four unknowns [Δ x , Δ y , Δ z , Δ δt u ] T should be solved 19 . When there were four satellites and the matrix G was full rank, the equations had only one solution, as shown in Equation 7.…”
Section: The Beidou Methods Of Least Squaresmentioning
confidence: 99%
“…For the pseudo-range equation that was simplified to a linear equation, the four unknowns [Δx, Δy, Δz, Δ t u ] T should be solved. 19 When there were four satellites and the matrix G was full rank, the equations had only one solution, as shown in Equation 7. If the rank of the matrix G was less than 4, the matrix had no array solution and this became an ideal situation.…”
Section: Solving Linear and Nonlinear Equationsmentioning
confidence: 99%
“…The accuracy factor can be expressed by the following equation: Horizontal accuracy factor: (19) Height accuracy factor:…”
Section: Analysis Of Positioning Accuracymentioning
At present, China's Beidou Navigation Satellite System (BDS) has been successfully applied in all walks of life and entered a period of rapid development. The least squares algorithm is often used to solve problems in the application of BDS, while the quaternary nonlinear equation set is used for solving the BDS PVT positioning and timing issues. The solution of least squares is an iterative process, but if the convergence threshold is too small in the iterative process, it may lead to continuous iteration without convergence. Therefore, a least squares algorithm based on dynamic threshold was proposed in this paper. The proposed algorithm could continue iteration until convergence by increasing the system's dynamic threshold. At the same time, the proposed algorithm could also change the satellite combination in time, so as to conduct the positioning and calculation again over the threshold value that increases to a fixed value but fails to converge. Also, the BDS computation process was programmed and simulated. Simulation results show that even if the threshold is set too small, it converges well. During the operation of Beidou-based geological disaster monitoring system in the Three Gorges Reservoir Region, the algorithm not only effectively prevents the program failure in Beidou satellite positioning caused by the convergence failure of algorithm iteration but also greatly improves the stability and reliability of the system program operation.
“…In today's world of emerging technology, satellite systems serve an essential purpose in humans' daily lives. It serves a pivotal role in relaying communication, broadcasting, navigation, weather forecasting, and various other services that uphold modern society, including the most prominent application, which is global positioning system "(GPS)," which stands for global positioning system [1]. In addition, microsatellites have gained prominence in the satellite industry, where these compact-size satellites have been utilized in GPS applications to augment capabilities for a particular specification [2], [3].…”
In this comparative study, seven different microstrip antenna shapes, including rectangular, elliptical, triangular, inset fed, H-notch, and E-notch, were observed and analyzed, focusing on their suitability for global positioning system (GPS) application in microsatellites. To enable meaningful comparison, the study utilized the optimal resonant frequency in GPS applications, which is 1.57542 GHz. All the antenna designs have been generated using MATLAB’s Antenna Toolbox and are 100% efficient under ideal conditions with zero polarization loss, which is assumed in the link budget analysis. The results show that each antenna shape has been found to offer distinct advantages and limitations. Along with this, the circular and elliptical patch antenna presented a well-balanced performance, which is suitable for GPS applications. However, the elliptical shape falls behind the circular shape, which was determined to be the most optimal choice for GPS application, providing excellent isotropic antenna gain, return loss, voltage standing wave ratio (VSWR), and strong link budget analysis results.
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