Linear combination optimization model of BeiDou triple-frequency integral coefficient carrier phase observation

MENG Fanjun1 LI Shujun1 PAN Zongpeng2 LI Zhongpan2 SUN Yicheng

(1.Department of Military Oceanography and Hydrography & Cartography, PLA Dalian Naval Academy, Dalian, Liaoning Province, China 116018)
(2.Institute of Surveying and Mapping, Information Engineering University, Zhengzhou, Henan Province, China 450001)
【Knowledge Link】scale factor

【Abstract】According to the application requirements of BeiDou triple-frequency observation, the linear combination observation model was established. Based on the error analysis of the model, a spatial analysis of the real coefficient ionosphere-free combination, troposphere-free combination, and minimum noise combination weakening or eliminating errors was conducted from a geometric perspective. Then, the relationship between the ionosphere-free plane, the troposphere-free plane, and the minimum noise line was more intuitively described. Upon this basis, the linear combination of the BeiDou integral coefficient was derived, and the combination of long wavelengths, weak ionospheric delay and weak observation noise was analyzed. Moreover, the number of lanes, the ionospheric delay coefficient and the noise amplification factor were used as the judgment indicators for the linear combination of the optimal triple-frequency integral coefficient. Finally, several sets of the linear combination of the optimal triple-frequency integral coefficient with different characteristics represented by (−1, −5, 6), (0, −1, 1), and (1, 4, −5) were obtained, and the sum of the coefficients of the optimized liner combination model of triple-frequency integral coefficient was generally S = 0 or S = ±1.

【Keywords】 BeiDou triple-frequency observation; integral coefficient; linear combination; ionosphere-free; troposphere-free; the minimum noise; long wavelength;

【DOI】

【Funds】 National Natural Science Foundation of China (41571441)

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(Translated by FAN JC)

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This Article

ISSN:1009-2307

CN: 11-4415/P

Vol 44, No. 08, Pages 1-5+60

August 2019

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Abstract

  • 0 Introduction
  • 1 BeiDou triple-frequency combination observation model
  • 2 Linear combination of triple-frequency real coefficient that reduces error
  • 3 Linear combination of the optimal triple-frequency integral coefficient
  • 4 Conclusion
  • References