Model analysis method (MAM) on the effect of the second-order ionospheric delay on GPS positioning solution

Liu, XiFeng; Yuan, Yunbin; Huo, Xingliang; Li, Zishen; Li, Wei

doi:10.1007/s11434-010-3070-2

Cited by 12 publications

(7 citation statements)

References 8 publications

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“…In order to investigate the effect of the second-order ionospheric term on GPS positioning in Antarctica, the positioning error should correlate with the ranging error. In addition to simulation, Geiger's (1988) error estimation method proposes analytical or semianalytical solutions in many cases for estimating different disturbances in GPS measurements, and the method has been adopted in some research involving the second-order ionospheric term (Munekane 2005;Liu et al 2010). Let us consider the coordinate system whose axes point toward the east, north, and vertical directions, respectively.…”

Section: Estimation Strategymentioning

confidence: 99%

The effect of the second-order ionospheric term on GPS positioning in Antarctica

Wang

Cui

et al. 2020

Arctic, Antarctic, and Alpine Research

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Global Positioning System (GPS) signals are delayed when passing through the ionosphere due to an ionospheric refraction effect. The ionospheric-free linear combination of GPS signals can eliminate most of the error caused by the first-order ionospheric term. However, the influence of higher-order ionospheric terms remains, and it should be accounted for when conducting highprecision geodetic applications. In this study, we use data from twenty-one GPS continuous operating stations from different observing networks distributed in Antarctica and analyze the effect of the second-order ionospheric term on GPS positioning during the whole year for 2012. Results show that the effect on these stations is at the level of submillimeters to millimeters, and the effect in summer is several times higher than it is in winter. In addition, this effect is found to be positively correlated to the change of the total electron content over the Antarctic continent. On the other hand, all of the stations show the southward and upward movements derived from the effect. The common and seasonal displacement trends displayed in the Antarctic region should not be ignored in future high-precision research or applications but should be brought to attention, especially when total electron content in the ionosphere is high.

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Section: Estimation Strategymentioning

confidence: 99%

The effect of the second-order ionospheric term on GPS positioning in Antarctica

Wang

Cui

et al. 2020

Arctic, Antarctic, and Alpine Research

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“…In the above two equations, vector is a known quantity. The estimate in (12) happens to be a measurement update of the subsequent update of the Kalman filter. It is worth noting that here the observation sequence is polluted by FIR colored noise, which will give full consideration to the design of the subsequent Kalman filter algorithm.…”

Section: Estimation Of Didmentioning

confidence: 99%

“…Kalman Filter Prediction DID: (12) Kalman Filter Measurement Update Estimating DID: (12) Kalman filter measurement update: (17), (18), (19) Updating the variance: (26), (27) Terminating (6) return to step (2) to process the next epoch; otherwise terminate the process.…”

Section: Initialization At T=1mentioning

confidence: 99%

“…Based on the short-term stability of the ionospheric delay, especially for the high frequency GNSS observations, the time difference of carrier phase observations can eliminate part of the ionospheric delay error [9][10][11]. However, due to the complexity of the ionosphere, a 2 Mathematical Problems in Engineering remaining ionospheric delay error is still inevitable after the time difference is handled [12][13][14]. By considering the timevarying characteristics of ionospheric delay [15][16][17] and the lack of an actual theoretical model and adopting the least squares variance component estimation (LS-VCE) method to adjust the noise level of DID [18,19], we conduct online, adaptive modeling to obtain the estimated and predicted values of DID and analyze the magnitude and variation characteristics of DID.…”

Section: Introductionmentioning

confidence: 99%

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A Solution for Real-Time Ionospheric Delay Using an Adaptive Kalman Filter Based on Estimating the Variance Component

Yang

Wang

Chang

2018

Mathematical Problems in Engineering

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Real-time solution of Global Navigation Satellite System (GNSS) epoch-differenced ionospheric delay (DID) is of great significance for real-time cycle slip detection and repair of multi-GNSS dual-frequency or trifrequency undifferenced measurements under high ionospheric activity. We construct a dynamic model of DID and perform a real-time estimate of the noise level of DID based on estimating the variance component. The estimated and predicted values of DID are obtained by designing a new adaptive Kalman filter algorithm with colored noise. Combining the predicted value and the detection method for cycle slips for Melbourne-Wübbena (MW) and Geometry-Free (GF) combination and taking into account the correlation between the predicted value and the carrier signal, we estimate the cycle slip, N2, on the second frequency of the carrier signal. The prediction and estimate of DID and detection and repair of dual-frequency cycle slip of multisystem undifferenced phase observations are measured with the GNSS multisystem observational data at different sampling rates (30 s, 15 s, 10 s, and 1 s). The results show that the DID model constructed in this paper is correct. The predicted value of DID has a high accuracy, which can effectively assist in dual-frequency cycle slip detection and repair. (1) The obtained predicted values, the estimated value, and the difference value between the two values of DID are less than 1.2 cm (STD), 1.2 cm (STD), and 0.6 cm (STD), respectively; (2) the precisions of the detection of cycle slip for MW, GF, and N2 are less than 0.083 cycles (STD), 0.4 cm (STD), and 0.071 cycles (STD), respectively; (3) with the obtained predicted value of DID to aid the detection and repair of cycle slip in GNSS double-frequency signals, a success rate of 100% can be reached.

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“…Many scholars have studied different design methods [7][8][9][10][11] of structural parameters of cab systems to improve cab vibrations, analysing balance, stability, and safety of cab systems. e most typical methods include the transfer path analysis method [12,13], the fuzzy control method [14][15][16], and modal analysis method [17,18] and so on. Chen et al [19] proposed a two-level TPA model [20][21][22] to determine the causes of the cab's higher vibration level.…”

Section: Introductionmentioning

confidence: 99%

Research on Cab Vibration Control Based on Parameter Hierarchical Interaction Model

Zheng

Tang

et al. 2020

Shock and Vibration

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The vibration level of a cab affects the passenger’s ride comfort and safety significantly. It is of great importance to control the vibration level of cabs under various driving conditions. The associated vibration transfer paths of cabs are studied by using a hierarchical analysis method of a parameter index. The multiobjective design analysis is carried out by using the multiparameter joint optimisation design. Further, the optimal control of the cab vibration level is obtained from a full-condition simulation environment. Additionally, a multibody vehicle model is established. The simulation analysis under multiple working conditions is conducted. The optimal parameter distribution of the cab mounting structure was established by analysing the influence of the design parameters and experimental verification. This greatly improves the comfort of the cab.

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Model analysis method (MAM) on the effect of the second-order ionospheric delay on GPS positioning solution

Cited by 12 publications

References 8 publications

The effect of the second-order ionospheric term on GPS positioning in Antarctica

The effect of the second-order ionospheric term on GPS positioning in Antarctica

A Solution for Real-Time Ionospheric Delay Using an Adaptive Kalman Filter Based on Estimating the Variance Component

Research on Cab Vibration Control Based on Parameter Hierarchical Interaction Model

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