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Table 1

Meaning and dimensions of vectors and matrices used in Sect. 2.1.

Scalars

n pix Total number of pixels in image plane
& number of cells in uv-grid
nant Total number of antennas in the array
nb Number of visibilities
b Index for a single visibility.
Equivalent to
τ Equivalent to
Vectors

Residual image vector, size npix
ϵ Vector of ϵ, size npix
Contains gain products, size nb. see Eq. (12)
1 Vector containing 1 in every cell, size nb
Vector of coordinates in differential Fourier
plane, of length 3.
ld Vector of sky coordinates, of length 3.
Matrices

Visibility seen by a baseline pq at time and
frequency t, ν. Size 2 × 2.
Fourier kernel for direction d, antenna p and
one pair. Size 2 × 2.
Jp, Jones matrix for antenna p for one pair.
Contains the gains information. Size 2 × 2
B Sky brightness distribution matrix, of size 2 × 2.
N Noise matrix, of size 2 × 2. Contains a single
realisation n of the thermal noise in each cell.
Fourier transform matrix, of size npix × npix.
Baseline selection matrix, which picks out 1
visibility out of the full set. Size npix × nb
npix × npix convolution kernel that defines
the PSF.
Convolution matrix mapping one δuδv to δlδm.
The set of all determines the noise-PSF.
Size npix × npix.
   

Notes. Only scalars which give matrix dimensions or indices are given here.

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