The optimal narrow lane combinations for multi-frequency GNSS orientating

Article type: Research Article

Authors: Zhang, Xinshuai^* | Cai, Wei | Wang, Bei | Hou, Yuguo

Affiliations: Xi’an Research Institute of High-Tech, Xi’an 710025, Shaanxi, China

Correspondence: [*] Corresponding author: Xinshuai Zhang, Xi’an Research Institute of High-Tech, Xi’an 710025, Shaanxi, China. E-mail: zxs_gary@163.com.

Abstract: Most of global navigation satellite systems (GNSS) are transmitting three or even more frequency signals. Narrow lane combinations of these multi-frequency observations are characterized by short wave length, high precision and have been widely used in positioning and orientating. In this work, the optimal narrow lane combinations were theoretically investigated to improve the solution precision. To this end, the basic multi-frequency linear combination model was introduced and two key factors (i.e. noise factor and lane number) were defined. On this basis, two parameters SPI (Solution Precision Indicator) and SPIrel (Relative Solution Precision Indicator) were derived to evaluate solution precision. Then, the optimal dual-frequency and triple frequency conditions were derived theoretically, which was verified by BDS (BeiDou Navigation System) experiment. The obtained results show that the linear combinations satisfying optimal condition can lead to a higher positioning and orientating precision and the precision increased with more frequencies.

Keywords: GNSS, optimal narrow lane combinations, GNSS orientating

DOI: 10.3233/JCM-180876

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 19, no. 2, pp. 337-351, 2019