Precise RTK positioning is usually performable only on short length bases, to limit distance correlated biases, as atmosphere and ephemerides. However, it is possible to recover some differential biases also over long distance using appropriate models, improving the performances of long base RTK positioning up to 100 km base length, with the goal of studying some preliminary problems in multi reference station positioning. The observation model is defined for double or single frequency GPS signal, and the system state vector is evaluated via Kalman filtering. On the reference station side, one way bias estimation is possible but not strictly necessary. On the rover side, corrections are applied to the observations as single differences, then the model estimates and recovers the undifferentiated residual biases. We have performed static and kinematic tests over long bases, using short bases as performance control.
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