Skip to main content

Table 2 The estimable parameters of un-differenced and un-combined PPP–RTK and corresponding formulations

From: Investigating GNSS PPP–RTK with external ionospheric constraints

Parameter

Formulation

\(\overline{{{\text{d}}t}}^{s}\)

\({\text{d}}t^{s} - {\text{d}}t_{p} + [B_{{{\text{IF}}}}^{S} - B_{{p,{\text{IF}}}} - g_{r}^{s} \cdot T_{p}^{s} ]/c\)

\(\overline{B}_{i > 2}^{s}\)

\(B_{i}^{S} - B_{{{\text{IF}}}}^{S} - \mu_{i} B_{{{\text{GF}}}}^{S} - B_{p,i} - B_{{p,{\text{IF}}}} + \mu_{i} B_{{p,{\text{GF}}}}\)

\(\overline{b}_{i}^{s}\)

\(b_{i}^{S} - B_{{{\text{IF}}}}^{S} + \mu_{i} B_{{{\text{GF}}}}^{S} - b_{p,i} - B_{{p,{\text{IF}}}} + \mu_{i} B_{{p,{\text{GF}}}} - \lambda_{i} N_{p,i}^{S}\)

\(N_{r \ne p,i}^{s \ne q}\)

\((N_{r,i}^{S} - N_{p,i}^{S} ) - (N_{r,i}^{q} - N_{p,i}^{q} )\)

\(\overline{T}_{r \ne p}^{s}\)

\(T_{r}^{s} - T_{p}^{s}\)

\(\overline{{{\text{d}}t}}_{r \ne p}\)

\({\text{d}}t^{s} - {\text{d}}t_{p} + [B_{{{\text{IF}}}}^{S} - B_{{p,{\text{IF}}}} ]/c\)

\(\overline{B}_{r \ne p,i > 2}^{{}}\)

\((B_{r,i} - B_{{r,{\text{IF}}}} - \mu_{i} B_{{r,{\text{GF}}}} ) - (B_{p,i} - B_{{p,{\text{IF}}}} - \mu_{i} B_{{p,{\text{GF}}}} )\)

\(\overline{b}_{r \ne p,i > 2}^{{}}\)

\((b_{r,i} - B_{{r,I{\text{F}}}} + \mu_{i} B_{{r,{\text{GF}}}} + \lambda_{i} N_{r,i}^{q} ) - (b_{p,i} - B_{{p,{\text{IF}}}} + \mu_{i} B_{{p,{\text{GF}}}} + \lambda_{i} N_{p,i}^{q} )\)

\(\overline{I}_{r,i}^{s}\)

\(I_{r}^{s} + B_{{r,{\text{GF}}}} - B_{{{\text{GF}}}}^{S}\)