2022
DOI: 10.3390/s22093475
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HDOP and VDOP Analysis in an Ideal Placement Environment for Dual GNSSs

Abstract: Increasing the number of satellites in a global navigation satellite system (GNSS) improves the positioning accuracy and increases availability. However, it reduces the positioning accuracy improvement rate and increases the calculation loads, which can cause battery usage problems in mobile devices using a GNSS. An appropriate satellite selection method is required. One current method entails the use of ideal satellite placement with respect to the minimum geometric dilution of precision (GDOP). In this study… Show more

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Cited by 11 publications
(5 citation statements)
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“…The positions of HAPS were chosen to provide a rich diversity in azimuth angles. With one HAPS at the zenith and the others having relatively low elevation angles, this constitutes a near Zenith + Horizon (ZH) geometry, which can deliver a reasonably good DOP [23]. To make sure the entire urban area is well covered, HAPS are placed not too far away from the urban area.…”
Section: System Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…The positions of HAPS were chosen to provide a rich diversity in azimuth angles. With one HAPS at the zenith and the others having relatively low elevation angles, this constitutes a near Zenith + Horizon (ZH) geometry, which can deliver a reasonably good DOP [23]. To make sure the entire urban area is well covered, HAPS are placed not too far away from the urban area.…”
Section: System Modelmentioning
confidence: 99%
“…𝑷 = 𝒑 𝒄 − 𝝆 (23) where 𝑯 represents the design matrix, 𝒅𝒙 represents the change in estimates, 𝒑 𝒄 denotes the corrected pseudoranges, and 𝝆 denotes the geometric range between ranging sources and the receiver. The covariance matrix of the residuals, 𝑪 𝒗 ̂, is computed as…”
Section: B the Receiver Autonomous Integrity Monitoring (Raim) Algorithmmentioning
confidence: 99%
“…Notably, within this category, the Quasi-Optimal algorithm, which eliminates satellites sharing a common line of sight [10,11], and the Fast algorithm [12], which achieves the optimal configuration of 4-8 satellites through exhaustive computer enumeration, stand out as the most prominent examples. These algorithms have subsequently formed the basis for a series of investigations into optimization selection methods [13][14][15].…”
Section: Introductionmentioning
confidence: 99%
“…for the bilateration mapping (2), since we have already regarded H as a subset of complex plane. Then, to finish the proof, it suffices to show that ( 23) is equivalent to (22). Since the first coordinate of the bilateration mapping B has the form (23).…”
mentioning
confidence: 99%
“…A paper [21] explains the role of receiver-satellite geometry in determining GNSS (Global Navigation Satellite System) positioning accuracy through DOP. A recent paper [22] decomposes ideal satellite placement into horizontal and vertical DOP and mathematically derives and analyses these two DOPs. The study [23] analyzes the DOP in IPS to optimize the anchor configuration, and [24] derives a measurement error model for UWB ranging, and experiments are conducted in a small and large scale scene to compare the accuracy of the three different anchor configurations.…”
mentioning
confidence: 99%