The Application of Robust Least Squares Method in Frequency Lock Loop Fusion for Global Navigation Satellite System Receivers

Han, Mengyue; Wang, Qian; Wen, Yuanlan; He, Min; He, Xiufeng

doi:10.3390/s20041224

Cited by 5 publications

(5 citation statements)

References 9 publications

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“…By substituting different values of R n 0 in Equations ( 1) and (4) into Equation ( 5), the second segmentation points can be calculated by solving this equation. The second segmentation point indicates that the theoretical variance reaches the upper bound when the CNR is 25.079 dB-Hz [19].…”

Section: Fll Analysis Based On Related Workmentioning

confidence: 99%

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Comparison of the Segmentation Results of Two Carrier Tracking Loop Types and Analysis of Theoretical Influencing Factors

et al. 2021

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This paper proposes an accurate quantitative segmentation method by analyzing the probability distribution of tracking variance and strict derivation based on the tracking loop theory. The segmentation points are taken as characteristics of phase lock loop (PLL) and frequency lock loop (FLL) performances, and the two factors that cause the performance difference are discriminator gain and filtering coefficient, which denote proportional and integration coefficients, respectively. The filtering coefficients lead to a difference of 2.5 dB-Hz between the FLL and PLL. Moreover, through the analysis of the normalized bandwidth and phase margin, it is found that the integration time and bandwidth need a dynamic balance to achieve the best performance. Finally, the simulation results and real data are in good agreement with the theoretical analysis results. The minimum mean error rate of the deviation between the real data and the theoretical data is only 1.8%. In the proposed method, the influence of external hardware factors on the tracking loop is removed, and the loop design factors are modeled directly. Instead of testing the denoising performance based on the ranging and angle measuring error after location calculation, the filter coefficient is proposed to evaluate the processing performance of the tracking loop objectively and directly at the theoretical level, which proposes a new performance evaluation method at the theoretical level. The results presented in this study provide theoretical support for the design of a new-type tracking loop with enhanced performances.

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Section: Fll Analysis Based On Related Workmentioning

confidence: 99%

“…The theoretical variance deviates from the variance at high CNR. When the integration time bandwidth are 2 ms and 25 Hz, respectively, the CNR of the segmentation point is 48.496 dB-Hz [19].…”

Section: Fll Analysis Based On Related Workmentioning

confidence: 99%

Comparison of the Segmentation Results of Two Carrier Tracking Loop Types and Analysis of Theoretical Influencing Factors

et al. 2021

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“…Finally, ref. [3] proposed a tracking loop able to perform such tracking of received signals in a highly accurate manner, which ultimately determine the accuracy of the positioning achievable.…”

Section: Gnss Signalsmentioning

confidence: 99%

Special Issue on GNSS Data Processing and Navigation

Rovira‐Garcia

2020

Sensors

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Global Navigation Satellite System (GNSS) data can be used in a myriad of ways. The current number of applications exceed by far those originally GNSS was designed for. As an example, the present Special Issue on GNSS Data Processing and Navigation compiles 14 international contributions covering several aspects of GNSS research. This Editorial summarizes the whole special issue grouping the contributions under four different, but related topics.

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“…The well-known least-squares (LS) has been widely used as a standard method of model parameters estimation in geodetic applications and many others branches of modern science [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. This is due to the flexibility of the LS, since no concepts from probability theory are used in formulating the least-squares minimisation problem.…”

Section: Introductionmentioning

confidence: 99%

Which Are the Effects of Hard and Soft Equality Constraints on the Iterative Outlier Elimination Procedure?

Rofatto¹,

Matsuoka²,

Klein³

et al. 2020

Preprint

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In this paper we evaluate the effects of hard and soft constraints on the Iterative Data Snooping (IDS), an iterative outlier elimination procedure. Here, the measurements of a levelling geodetic network were classified according to the local redundancy and maximum absolute correlation between the outlier test statistics, referred to as clusters. We highlight that the larger the relaxation of the constraints, the higher the sensitivity indicators MDB (Minimal Detectable Bias) and MIB (Minimal Identifiable Bias) for both the clustering of measurements and the clustering of constraints. There are circumstances that increase the family-wise error rate (FWE) of the test statistics, increase the performance of the IDS. Under a scenario of soft constraints, one should set out at least three soft constraints in order to identify an outlier in the constraints. In general, hard constraints should be used in the stage of pre-processing data for the purpose of identifying and removing possible outlying measurements. In that process, one should opt to set out the redundant hard constraints. After identifying and removing possible outliers, the soft constraints should be employed to propagate their uncertainties to the model parameters during the process of least-squares estimation.

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The Application of Robust Least Squares Method in Frequency Lock Loop Fusion for Global Navigation Satellite System Receivers

Cited by 5 publications

References 9 publications

Comparison of the Segmentation Results of Two Carrier Tracking Loop Types and Analysis of Theoretical Influencing Factors

Comparison of the Segmentation Results of Two Carrier Tracking Loop Types and Analysis of Theoretical Influencing Factors

Special Issue on GNSS Data Processing and Navigation

Which Are the Effects of Hard and Soft Equality Constraints on the Iterative Outlier Elimination Procedure?

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