Skip to main content

Table 1 The rank deficiencies information, including involved parameters, sizes, and S-basis for PPP–RTK network

From: Investigating GNSS PPP–RTK with external ionospheric constraints

Rank deficiency involved parameter

Size

S-basis

\({\text{d}}t_{r}\) and \({\text{d}}t^{s}\)

1

\({\text{d}}t_{p}\)

\(B_{r,i}^{{}}\) and \(B_{i}^{s}\)

f

\(B_{p,i}^{{}}\)

\(b_{r,i}^{{}}\) and \(b_{i}^{s}\)

f

\(b_{p,i}^{{}}\)

\({\text{d}}t_{r \ne p}\), \(B_{r \ne p,i}^{{}}\), and \(d_{r \ne p,i}^{{}}\)

n-1

\(B_{{r \ne p,{\text{IF}}}}^{{}}\)

\({\text{d}}t^{s}\), \(B_{i}^{s}\), and \(b_{i}^{s}\)

m

\(B_{{{\text{IF}}}}^{s}\)

\(b_{i}^{s}\) and \(N_{r,i}^{s}\)

f·m

\(N_{p,i}^{s}\)

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

f·(n-1)

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

\(T_{r}^{s}\) and \({\text{d}}t^{s}\)

1

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

\(I_{r,i}^{s}\), \(B_{r \ne p,i}^{{}}\), and \(b_{r \ne p,i}^{{}}\)

n-1

\(B_{{r \ne p,{\text{GF}}}}^{{}}\)

\(I_{r,i}^{s}\), \(B_{i}^{s}\), and \(b_{i}^{s}\)

m

\(B_{{{\text{GF}}}}^{s}\)