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Table 1
Description of the mathematical notations for the variables used in the RSM detection map computation.
| Symbol | Dimension | Comments |
|---|---|---|
 |
TLa | Vector of residuals for the annulus a |
 |
θ × θ × TLa | Matrices of residuals centred on  |
| a | 1 | Annulus index |
| La | 1 | Number of pixels included in the annulus a |
| T | 1 | Number of frames in the cube of residuals |
| ia | 1 | Index associated with every pixel from every frame in the annulus a (ranges from 1 to TLa) |
| θ | 1 | Angular size of the considered planetary signal (set to 1 λ∕D) |
| μ | 1 | Mean of the residuals contained in an annulus a, with width equal to θ |
| σ | 1 | Standard deviation of the residuals contained in an annulus a, with width equal to θ |
| β | 1 | Parameter representing the intensity of the planetary signal in the cube of residuals |
 |
TLa | Realisation of a two-state Markov chain representing the state in which the system is in for pixel ia |
| P | θ × θ | Planetary signal (off-axis PSF) |
 |
2 × θ × θ × TLa | Error terms associated with the two regimes |
 |
TLa | State in which the system is in for every pixel ia |
 |
2 × TLa | Probability associated with state s for every pixel ia |
 |
2 × TLa | Likelihood of being in each state for every pixel ia |
| pq,s | 2 × 2 | Transition probabilities between the regimes |
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