Success rate improvement of single epoch integer least-squares estimator for the GNSS attitude/short baseline applications with common clock scheme

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• 作者：Wantong Chen (1)
  Xiaoqiang Li (2)
  
• 关键词：GNSS ; Ambiguity success rate ; Integer estimation ; Common clock
• 刊名：Acta Geodaetica et Geophysica
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：49
• 期：3
• 页码：295-312
• 全文大小：277 KB
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• 作者单位：Wantong Chen (1)
  Xiaoqiang Li (2)
  
  1. Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China, Tianjin, 聽300300, People鈥檚 Republic of China
  2. School of Electronic and Information Engineering, Beihang University, Beijing, 聽100191, People鈥檚 Republic of China
  
• ISSN：2213-5820

文摘

The sub-centimeter level relative positioning can be accomplished anytime and anywhere on Earth, provided that the integer ambiguities of the very precise Global Navigation Satellite System (GNSS) carrier-phase observables are correctly resolved. The Integer Least-Squares (ILS) estimator is known to be efficient and optimal for Integer Ambiguity Resolution (IAR) of the unconstrained GNSS model, and the stronger the model strength, the higher the success rate. In this contribution, we investigate the model strength of the common clock scheme, in which the two receivers of the short baseline feed a common clock and the cables have the same delay and many GNSS-based attitude/short baseline applications benefit from this approach. For this scheme, the clock biases between two receivers will be zero and can be omitted, and thus it has a stronger model strength and a higher success rate, compared with the non-common clock scheme. In this contribution, the well-known Ambiguity Dilution of Precision (ADOP), which captures the main characteristics of the ambiguity precision, is utilized to assess the model strengthening when the perfectly synchronized receivers are employed. The mathematical expression of the single epoch ADOP is deduced by the given design parameters, and thus the ADOP-based approximate ILS success rate can be easily computed with the specified measurement set-up which includes the number of available satellites and frequencies and the precision of observation. We focus on the success rate assessment of the common clock scheme for stand-alone, unaided, single-frequency, single epoch observation with only five visible satellites, since it is the most challenging case of GNSS relative positioning and in this case the performance of the employed ambiguity resolution method can be investigated effectively. Thus, one can predict whether or not the required performance will be obtained for the worst case.