Improved Knight Method Based on Narrowed Search Space for Instantaneous GPS Attitude Determination

Yong Li, Kefei Zhang, and Ron Grenfell

Peer Reviewed

Abstract: The Knight algorithm can instantaneously resolve integer ambiguities and significantly improve search speed by skipping over most less-likely integer ambiguity candidates. However, its reliability depends on the volume of the integer ambiguity search space. Using coarse attitude knowledge can reduce the size of the search space. This paper proposes a new method for narrowing the search space by taking into account a geometric constraint of visible satellites.The constraint is formulated as a recursive procedure and is thus very suitable for incorporation into the search loop of the Knight method. Experimental results demonstrate that the proposed method can improve the search efficiency and reliability of the Knight method.
Published in: NAVIGATION, Journal of the Institute of Navigation, Volume 52, Number 2
Pages: 111 - 120
Cite this article: Li, Yong, Zhang, Kefei, Grenfell, Ron, "Improved Knight Method Based on Narrowed Search Space for Instantaneous GPS Attitude Determination", NAVIGATION, Journal of The Institute of Navigation, Vol. 52, No. 2, Summer 2005, pp. 111-120.
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