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Single epoch ambiguity resolution for Galileo with the CAR and LAMBDA methods

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Abstract

This paper investigates single epoch ambiguity resolution performance using Galileo four frequency data. Two commonly used ambiguity resolution methods are used in the tests, including the Cascade Ambiguity Resolution (CAR) and the Least-Squares Ambiguity Decorrelation Adjustment (LAMBDA) methods. For CAR method, four optimal combinations are carefully selected according to their wavelength to noise ratios and success rate for ambiguity fixing. The test results show, in general, the LAMBDA method performs better than the CAR method. The speed of ambiguity resolution is closely related to the carrier phase measurement precision. With carrier phase measurement precision of 3 mm, single epoch ambiguity resolution can be achieved at every epoch with simulated 1-s interval 24-h Galileo data (total epochs 86,400). With the increase of carrier phase noise, ambiguity resolution performances become worse. When the noise level is increased to 12 mm, single epoch ambiguity resolution can only be achieved about 50% of epochs.

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Acknowledgments

The work described in this paper was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No: PolyU 5158/03E). It was also partially supported by the key Laboratory of Geospatial Informatics of State Bureau of Surveying and Mapping and the National Natural Science Foundation (Grant No. 40504003) of China.

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Correspondence to Shengyue Ji.

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Ji, S., Chen, W., Zhao, C. et al. Single epoch ambiguity resolution for Galileo with the CAR and LAMBDA methods. GPS Solut 11, 259–268 (2007). https://doi.org/10.1007/s10291-007-0057-9

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  • DOI: https://doi.org/10.1007/s10291-007-0057-9

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