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Abstract

Most of global navigation satellite systems (GNSS) are transmitting three or even more frequency signals. Narrow lane combinations of these multi-frequency observations are characterized by short wave length, high precision and have been widely used in positioning and orientating. In this work, the optimal narrow lane combinations were theoretically investigated to improve the solution precision. To this end, the basic multi-frequency linear combination model was introduced and two key factors (i.e. noise factor and lane number) were defined. On this basis, two parameters SPI (Solution Precision Indicator) and SPI ${}_{\text{rel}}$ (Relative Solution Precision Indicator) were derived to evaluate solution precision. Then, the optimal dual-frequency and triple frequency conditions were derived theoretically, which was verified by BDS (BeiDou Navigation System) experiment. The obtained results show that the linear combinations satisfying optimal condition can lead to a higher positioning and orientating precision and the precision increased with more frequencies.

Keywords

GNSS optimal narrow lane combinations GNSS orientating

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References

Cocard

Bourgon

and Kamali

, A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS, Journal of Geodesy 82(9) (2008), 555–564.

Neumann

J.B.

Manz

Ford

T.J.

and Mulyk

, Test results from a new 2 cm real time kinematic GPS positioning system, Journal of Navigation 1 (1996), 873–882.

Cocard

and Geiger

, Systematic search for all possible widelanes, in: Proceedings 6th Int. Geod. Symp. on Satellite Positioning, Columbus, Ohio, 1992, pp. 17–20.

Collins

J.P.

, An overview of GPS inter-frequency carrier phase combinations, Technical Memoranda 25 (1999).

Han

and Rizos

, The impact of two additional civilian GPS frequencies on ambiguity resolution strategies, in: 55th National Meeting US Institute of Navigation, “Navigational Technology for the 21st Century”, Cambridge, Massachusetts, 1999, pp. 28–30.

Teunissen

P.J.G.

and Odijk

, Rank defect integer estimation and phase-only modernized GPS ambiguity resolution, Journal of Geodesy 76 (2003), 523–535.

Odijk

, Ionosphere-free phase combinations for modernized GPS, Journal of Survey Engineering 129(4) (2003), 165–173.

Feng

, GNSS three carrier ambiguity resolution using ionosphere reduced virtual signals, Journal of Geodesy 82 (2008), 847–862.

Tao

and Gao

, Research on three kinds of carrier frequency combination value of GLONASS (in Chinese), Journal of Geody 33 (2013), 86–89.

10.

Zhang

and He

, BDS triple-frequency carrier-phase linear combination models and their characteristics, Science China Earth Sciences 58(6) (2015), 896–905.

11.

Yang

and Guo

, An analytical study on the carrier-phase linear combinations for triple-frequency GNSS, Journal of Geodesy 91(2) (2016), 1–16.

The optimal narrow lane combinations for multi-frequency GNSS orientating

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References