The measurement equation of an instrument is the relationship between the
sky intensity and the measured quantities. The measurement equation for a
millimeter interferometer is to a good approximation (after calibration)
![]() |
(1) |
![]() |
(2) |
![]() |
(3) |
We note that Fourier transform are in general done through Fast Fourier Transform, which implies first a stage of re-interpolation of the visibilities on a regular grid in the uv plane, a process called gridding. This gridding step introduces a convolution in the uv space, and thus a multiplication by the Fourier transform of the gridding function in the image plane, which needs to be corrected later by division by this Fourier transform. It can be shown that despite this step, the convolution property mentionned before still holds.
Next: Imaging
Up: Single-field imaging and deconvolution
Previous: In a nutshell
Contents
Index
Gildas manager
2023-06-01