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An Ionosphere Correcting Algorithm for GNSS Signals Based on Observable Analysis

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In order to correct ionosphere error on the GNSS signals, this paper proposes an algorithm to estimate the ionosphere corrections on the basis of the observabil- ity analysis. The distributed Kalman filter consisting of some parallel sub-filters is utilized and the ionosphere cor- rections are obtained from weighting the results of these sub-filters. However, the performance of some sub-filters is degraded by the sub-filters with poor observability. To evaluate the observability of these sub-filters, the Iono- sphere observable factor (IOF) is defined and calculated by the eigenvalue decomposition. Moreover, to mitigate the adverse effect from the poor observability and boost the accuracy of estimates, an observability-based weight- ing strategy is designed and adopted. The simulation re- sult demonstrates that the a significant improvement on the accuracy is gained by the observability-based weight- ing strategy.

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In order to correct ionosphere error on the GNSS signals, this paper proposes an algorithm to estimate the ionosphere corrections on the basis of the observabil- ity analysis. The distributed Kalman filter consisting of some parallel sub-filters is utilized and the ionosphere cor- rections are obtained from weighting the results of these sub-filters. However, the performance of some sub-filters is degraded by the sub-filters with poor observability. To evaluate the observability of these sub-filters, the Iono- sphere observable factor (IOF) is defined and calculated by the eigenvalue decomposition. Moreover, to mitigate the adverse effect from the poor observability and boost the accuracy of estimates, an observability-based weight- ing strategy is designed and adopted. The simulation re- sult demonstrates that the a significant improvement on the accuracy is gained by the observability-based weight- ing strategy.

Keywords

ObservabilityGNSS applicationsWeightingKalman filterAlgorithmObservableComputer scienceFilter (signal processing)

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