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Received: 2008-08-12

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.7 P.1038~1048

http://doi.org/10.1631/jzus.A0820600


Hybrid analytical resolution approach based on ambiguity function for attitude determination


Author(s):  Wen-rui JIN, Chuan-run ZHAI, Li-duan WANG, Yan-hua ZHANG, Xing-qun ZHAN

Affiliation(s):  Institute of Aerospace Science & Technology, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding email(s):   wrjin@sjtu.edu.cn

Key Words:  Global positioning system (GPS), Russian Global Orbiting Navigation Satellite System (GLONASS), Analytical resolution, Attitude determination, Ambiguity function method (AFM)


Wen-rui JIN, Chuan-run ZHAI, Li-duan WANG, Yan-hua ZHANG, Xing-qun ZHAN. Hybrid analytical resolution approach based on ambiguity function for attitude determination[J]. Journal of Zhejiang University Science A, 2009, 10(7): 1038~1048.

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author="Wen-rui JIN, Chuan-run ZHAI, Li-duan WANG, Yan-hua ZHANG, Xing-qun ZHAN",
journal="Journal of Zhejiang University Science A",
volume="10",
number="7",
pages="1038~1048",
year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820600"
}

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%T Hybrid analytical resolution approach based on ambiguity function for attitude determination
%A Wen-rui JIN
%A Chuan-run ZHAI
%A Li-duan WANG
%A Yan-hua ZHANG
%A Xing-qun ZHAN
%J Journal of Zhejiang University SCIENCE A
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%N 7
%P 1038~1048
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820600

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T1 - Hybrid analytical resolution approach based on ambiguity function for attitude determination
A1 - Wen-rui JIN
A1 - Chuan-run ZHAI
A1 - Li-duan WANG
A1 - Yan-hua ZHANG
A1 - Xing-qun ZHAN
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 7
SP - 1038
EP - 1048
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820600


Abstract: 
When satellite navigation receivers are equipped with multiple antennas, they can deliver attitude information. In previous researches, carrier phase differencing measurement equations were built in the earth-centered, earth-fixed (ECEF) coordinate, and attitude angles could be obtained through the rotation matrix between the body frame (BF) and the local level frame (LLF). Different from the conventional methods, a hybrid algorithm is presented to resolve attitude parameters utilizing the single differencing (SD) carrier phase equations established in LLF. Assuming that the cycle integer ambiguity is known, the measurement equations have attitude analytical resolutions by using simultaneous single difference equations for two in-view satellites. In addition, the algorithm is capable of reducing the search integer space into countable 2D discrete points and the ambiguity function method (AFM) resolves the ambiguity function within the analytical solutions space. In the case of frequency division multiple access (FDMA) for the russian Global Orbiting Navigation Satellite System (GLONASS), a receiver clock bias estimation is employed to evaluate its carrier phase. An evaluating variable and a weighted factor are introduced to assess the integer ambiguity initialization. By static and dynamic ground experiments, the results show that the proposed approach is effective, with enough accuracy and low computation. It can satisfy attitude determination in cases of GPS alone and combined with GLONASS.

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