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Table 1 Estimable parameters of the reparameterized UDUC PPP equation for PPP-RTK

From: PPP-RTK considering the ionosphere uncertainty with cross-validation

Estimable Parameter

Interpretation

Coordinate

\(x, y, z\)

Zenith wet troposphere delay

\(T_{r}\)

Receiver clock

\(c \cdot \overline{dt}_{r,IF12} = c \cdot dt_{r} + \alpha \cdot b_{r,1} + \beta \cdot b_{r,2}\)

Ionospheric slant delay

\(\overline{I}_{r,1}^{s} = I_{r,1}^{s} + \beta \cdot\left( {D_{{{\text{DCB}}}}^{r,12} - D_{{{\text{DCB}}}}^{s,12} } \right)\)

Ambiguity

\(\overline{N}_{r,i}^{s} = N_{r,i}^{s} + B_{r,i} - B_{i}^{s} - \left[ {\left( {\alpha \cdot b_{r,1} + \beta \cdot b_{r,2} } \right) - \left( {\alpha \cdot b_{1}^{s} + \beta \cdot b_{2}^{s} } \right) - \gamma_{i} \cdot \beta \left( {D_{{{\text{DCB}}}}^{r,12} - D_{{{\text{DCB}}}}^{s,12} } \right)} \right]/\lambda_{i}\)

  1. \(\alpha = \frac{{f_{1}^{2} }}{{f_{1}^{2} - f_{2}^{2} }}; \beta = - \frac{{f_{2}^{2} }}{{f_{1}^{2} - f_{2}^{2} }}\); \(D_{{{\text{DCB}}}}^{s,12} = b_{1}^{s} - b_{2}^{s} ; D_{{{\text{DCB}}}}^{s,1i} = b_{1}^{s} - b_{i}^{s}\); \(D_{{{\text{DCB}}}}^{r,12} = b_{r,1} - b_{r,2} ; D_{{{\text{DCB}}}}^{r,1i} = b_{r,1} - b_{r,i}\)