Functional Model Compensation of Residual Systematic Errors in GNSS Precise Positioning

摘要

Global Navigation Satellite System (GNSS) residual systematic errors have adverse impacts on precise positioning. However, most of existing studies mainly focus on handling the part of systematic errors that can be properly modeled. This research comprehensively studies and proposes the method of functional model compensation for processing the residual systematic errors. At first, the classical additional parameter correction and least squares collocation models that cannot directly achieve the residual systematic error compensation are studied. Accordingly, the multi-epoch partial parametric correction and collocation methods are derived. Finally, a functional model compensation system for the residual systematic errors is designed and implemented, where the key issues such as the feasibility of the overall test, selection of the partial parameterization and setting of the moving window size are solved. Taking the real-time kinematic positioning with real BeiDou data as an example, the effectiveness of the proposed functional model compensation is verified, which can improve the precision by approximately 15% on average.