Abstract
The Lambda Method for the GNSS CompassGlobal Navigation Satellite System carrier phase ambiguity resolution is the key to high precision positioning and attitude determination. In this contribution we consider the GNSS compass model. We derive the integer least-squares estimators and discuss the various steps involved in the ambiguity resolution process. This includes the method that has successfully been used in (Park and Teunissen, 2003). We emphasize the unaided, single frequency, single epoch case, since this is considered the most challenging mode of GNSS attitude determination.
Highlights
Global Navigation Satellite System (GNSS) ambiguity resolution is the process of resolving the unknown cycle ambiguities of the carrier phase data as integers
The GNSS compass model in itself already has a wide range of important applications, as is evidenced by the commercial products available, see e.g. (Furuno, 2003) or (Simsky et al, 2005), both of which make use of the LAMBDA (Least-squares AMBiguity Decorrelation Adjustment) method
This alternative is based on the constrained float solution and is expected to improve efficiency. Since it leads to a search space which is similar in structure to the one given in Section 4, the same LAMBDA based search approach can be used
Summary
Global Navigation Satellite System (GNSS) ambiguity resolution is the process of resolving the unknown cycle ambiguities of the carrier phase data as integers. An overview of GNSS models, together with their applications in surveying, navigation, geodesy and geophysics, can be found in textbooks such as (Hofmann-Wellenhof et al, 1997), (Leick, 1995), (Parkinson and Spilker, 1996), (Strang and Borre, 1997) and (Teunissen and Kleusberg, 1998) In this contribution we will consider the problem of ambiguity resolution for GNSS attitude determination, see e.g. When considering ambiguity resolution for the GNSS compass model, one should keep in mind that the difficulty of computing and estimating the integer ambiguities depends very much on the strength of the underlying model It will be easier when GNSS is externally aided with additional sensors (e.g. inertial measurement unit IMU). Since it leads to a search space which is similar in structure to the one given in Section 4, the same LAMBDA based search approach can be used
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