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Table 1
Overview of the mathematical notations used throughout this paper.
| G ptν .................. | The product of the 2 × 2 direction-independent Jones matrices for antenna p at time t and frequency ν. | |
| D p s tν ................. | The product of the 2 × 2 direction-dependent Jones matrices in direction s for antenna p at time t and frequency ν. | |
| N ................. | The number of parameters in the model. | |
| M ............. | The number of visibility-type data points. | |
| M i ............. | The number of image-type data points. | |
| x ............. | Process vector of size N, containing the values of the parameters to be estimated. | |
| y ............. | Data vector of size M. | |
| P ............. | The covariance matrix on the estimated process vector (size N × N). | |
| Q ............. | The process covariance matrix of size N × N. | |
| R ............. | The data covariance matrix of size M × M. | |
| f ............. | The nonlinear evolution operator mapping RN → RN. It is equivalent to a matrix F when f is linear. | |
| h ............. | The nonlinear measurement operator mapping RN → R2M. When h is linear, we note it as a matrix H. | |
| (.)k−1|k−1 ............. | The a priori value of (.) at k − 1 built at the k − 1 step. | |
| (.)k|k−1 ............. | The prior of (.) predicted at k from the k − 1 step (after (.)k − 1 | k − 1 has been evolved through the f evolution operator). | |
| (.)k|k ............. | The posterior value of (.) estimated at k using the Kalman gain (after the Kalman gain has been applied to (.)k | k − 1 in the data-domain). | |
| Øi ............. | The ith σ-point vector of size N in the process domain. | |
 ............. |
The ith σ-points propagated in the data domain of size M. | |
| K ............. | The Kalman gain matrix of size N × M. |
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