Bias and variance of asymmetric double‐sided two‐way ranging

Navrátil, Václav; Vejrazka, F.

doi:10.1002/navi.321

Cited by 9 publications

(4 citation statements)

References 11 publications

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“…Frequency correction is performed by calculating the ratio of the frequencies of the two satellites and feeding the result to the frequency control word of the NCO. The modified parameters are calculated as in Equation (17).…”

Section: Clock Synchronization Performance Analysismentioning

confidence: 99%

“…The second one is the time difference measurement error of the joint measurement. When the parameters are used as in Section 2, the difference of the time difference measurement error at time i and i − 1 is about 317 ps, which will bring a frequency correction error of 2.5 mHz according to Equation (17). Substituting ∆ f (i) in Equation ( 18) with 2.5 mHz will result in a synchronization error of 317 ps as well, since f local and f 0 are almost the same.…”

Section: Clock Synchronization Performance Analysismentioning

confidence: 99%

“…In a previous work [15], authors proposed an ADS-TWR-based multi-satellite intersatellite ranging scheme, and high-ranging accuracy could be achieved with only a common miniaturized frequency source and without any external assistance. However, ADS-TWR was originally proposed for ranging-only applications, so a separate time difference measurement equipment is still needed to constitute a space-borne navigation system [16,17]. To this end, by fully exploiting the non-coherent measurement characteristic of ADS-TWR that potentially supports joint measurement, this study proposes a multi-satellite joint inter-satellite range and time difference measurement method.…”

Section: Introductionmentioning

confidence: 99%

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Precision Joint RF Measurement of Inter-Satellite Range and Time Difference and Scalable Clock Synchronization for Multi-Microsatellite Formations

Hou

Jin

Zhou

et al. 2023

Sensors

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The rapid development of multi-satellite formations requires inter-satellite radio frequency (RF) measurement to be both precise and scalable. The navigation estimation of multi-satellite formations using a unified time reference demands the simultaneous RF measurement of the inter-satellite range and time difference. However, high-precision inter-satellite RF ranging and time difference measurements are investigated separately in existing studies. Different from the conventional two-way ranging (TWR) method, which is limited by its reliance on a high-performance atomic clock and navigation ephemeris, asymmetric double-sided two-way ranging (ADS-TWR)-based inter-satellite measurement schemes can eliminate such reliance while ensuring measurement precision and scalability. However, ADS-TWR was originally proposed for ranging-only applications. In this study, by fully exploiting the time-division non-coherent measurement characteristic of ADS-TWR, a joint RF measurement method is proposed to obtain the inter-satellite range and time difference simultaneously. Moreover, a multi-satellite clock synchronization scheme is proposed based on the joint measurement method. The experimental results show that when inter-satellite ranges are hundreds of kilometers, the joint measurement system has a centimeter-level accuracy for ranging and a hundred-picosecond-level accuracy for time difference measurement, and the maximum clock synchronization error was only about 1 ns.

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Section: Clock Synchronization Performance Analysismentioning

confidence: 99%

Section: Clock Synchronization Performance Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Precision Joint RF Measurement of Inter-Satellite Range and Time Difference and Scalable Clock Synchronization for Multi-Microsatellite Formations

Hou

Jin

Zhou

et al. 2023

Sensors

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“…The asymmetric double-side (ADS) TWR method strongly suppresses the adverse influence of the frequency deviation on the measurement performance [11,12]. However, three issues still exist when this method is applied to multisatellite formations.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis and validation of precision multisatellite RF measurement scheme for microsatellite formations

Chen¹,

Jin²,

Mo³

et al. 2021

Meas. Sci. Technol.

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Almost all existing studies on inter-satellite radio-frequency (RF) measurement have focused on two-satellite formations. Although some frequency division multiple access and code division multiple access multisatellite RF measurement schemes have been proposed, their poor scalability does not satisfy the inter-satellite measurement requirements of multisatellite formations, especially large-scale formations. Two-way ranging (TWR), which is based on a time division mechanism, is an effective solution that has been used for inter-satellite links in the global positioning system and Beidou navigation constellations. However, the high measurement accuracy achieved with TWR in these navigation constellations is heavily reliant on high-performance atomic clocks and the assistance of navigation ephemeris, which are not available on microsatellite platforms. This work focuses on a scalable multisatellite measurement scheme that adopts a distributed broadcast-based time division multiple access mechanism as the media access control layer and uses an asymmetric double-side TWR method as the physical layer. The measurement performance of the proposed scheme is evaluated through in-depth theoretical modeling, simulation verification, and experimental validation, along with a comprehensive comparison with the conventional TWR method. The experimental results show that centimeter-level measurement accuracy can be achieved with the proposed scheme when only a common miniaturized frequency source is used. This accuracy level is two orders of magnitude better than that of the TWR method, and thus satisfies the application requirements of general large-scale microsatellite formations.

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Asynchronous Collaborative Localization System for Large-Capacity Sensor Networks

Dou

Yao

2022

IEEE Internet Things J.

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Bias and variance of asymmetric double‐sided two‐way ranging

Cited by 9 publications

References 11 publications

Precision Joint RF Measurement of Inter-Satellite Range and Time Difference and Scalable Clock Synchronization for Multi-Microsatellite Formations

Precision Joint RF Measurement of Inter-Satellite Range and Time Difference and Scalable Clock Synchronization for Multi-Microsatellite Formations

Performance analysis and validation of precision multisatellite RF measurement scheme for microsatellite formations

Asynchronous Collaborative Localization System for Large-Capacity Sensor Networks

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