TABLE A-1
Notation and Sizes of Main Vectors and Matrices
| Symbol | size | comment |
|---|---|---|
| pr,f | (m −1)× 1 | SD code observations of antenna r, frequency f |
| φr,f | (m −1)× 1 | SD phase observations of antenna 1, frequency f |
| Pr | f(m −1)×1 | SD code observations of antenna r |
| Φr | f(m −1)×1 | SD phase observations of antenna r |
| yr | 2f(m −1)× 1 | All SD observations of antenna r |
 | f(m −1)×1 | DD code observations of antennae 1 and 2 |
 | f(m −1)×1 | DD phase observations of antennae 1 and 2 |
| Y | 2f(m −1)×(a −1) | All DD observations of the array |
| vec[yr, Y] | 2f(m −1)a × 1 | Observation set of the A-POAD model |
| vec(Yr) | 2f(m −1)a × 1 | All SD observations in vec form |
 | 3 × 1 | Unit-direction vector to satellite s |
| G = Gr | 2f(m −1)× 3 | Geometry component of the design matrix |
| A | 2f(m −1)× f(m −1) | Ambiguity component of the design matrix |
| Qp | m × m | Covariance matrix of undifferenced code observations |
| Qϕ | m × m | Covariance matrix of undifferenced phase observations |
 | (m −1)×(m −1) | Covariance matrix of DD code observations |
 | (m −1)×(m −1) | Covariance matrix of DD phase observations |
| Qr | a × a | Covariance matrix of the array (array precision) |
| Qf | f × f | Contribution of frequencies |
| Qvec[yr, Y] | 2f(m −1) a × 2f(m −1)a | Covariance matrix of the A-POAD model |
| QY | 2f(m −1)(a −1)× 2f(m −1)(a −1) | Covariance matrix of DD observations |
| zr | f(m −1)×1 | All SD observations of antenna r |
| Z | f(m −1)×(a −1) | All DD observations of the array |
| B | 3×(a −1) | All baselines (considering one antenna as reference) |
| ∇ | (m −1)× 2m | DD operator |
 | (i+1)× i | Differencing matrix |
| ei | 1 × i | Row vector with elements equal to 1 |
| Ii | i × i | Identity matrix |
| c1 | (i +1)×1 | Column vector in which the first element equals 1 and the remainder equal 0 |