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Table 2 Different estimable parameters in the code-plus-phase ionosphere-float, ionosphere-weighted, and ionosphere-fixed models

From: PPP–RTK functional models formulated with undifferenced and uncombined GNSS observations

Parameter

Estimable form

Ionosphere-float

Ionosphere-weighted

Ionosphere-fixed

Satellite clock

\({\text{d}}\tilde{t}^{s} = {\text{d}}\overline{t}^{s} - {\text{d}}\overline{t}_{1}\)

\({\text{d}}\tilde{\tilde{t}}^{s} = {\text{d}}\overline{t}^{s} - {\text{d}}\overline{t}_{1} - m_{1}^{s} \tilde{\tau }_{1}\)

\({\text{d}}\overline{\overline{t}}^{s} = {\text{d}}\overline{t}^{s} - {\text{d}}\overline{t}_{1} - \tau^{s}\)

BR-DCB

None

\(\tilde{d}_{{r,{\rm GF}}} = d_{{r,{\rm GF}}} - d_{{1,{\rm GF}}} \,\)

\(\tilde{d}_{{r,{\rm GF}}} = d_{{r,{\rm GF}}} - d_{{1,{\rm GF}}} \,\)

Receiver phase bias

\(\begin{gathered} \tilde{\delta }_{r,j} = \delta_{1r,j} - d_{{1r,{\rm IF}}} \hfill \\ + u_{j} d_{{1r,{\rm GF}}} + \lambda_{j} z_{1r,j}^{1} \hfill \\ \end{gathered}\)

\(\tilde{\tilde{\delta }}_{r,j} = \delta_{1r,j} - d_{{1r,{\rm IF}}} + \lambda_{j} z_{1r,j}^{1}\)

\(\tilde{\tilde{\delta }}_{r,j} = \delta_{1r,j} - d_{{1r,{\rm IF}}} + \lambda_{j} z_{1r,j}^{1}\)

  1. \(\left( . \right)_{1r}\) denotes a between-receiver single-differenced operation