I imagine two satellites of the Sun, perhaps at the Earth’s two stable Lagrange points. These two stations have largish antenna pointing in the same direction, out of the plane of the Earth’s orbit, listening to some narrow band at a few cm wavelength. Each station has a few GB of RAM where it collects a base band digitization of the analog signal in the band. The station alternates between listening and transmitting the data back to Earth.

The stations have very high accuracy clocks and the returned data are time stamped to nanosecond precision or better. The stations are time synchronized so that the signal from the observed object is captured by both stations.

When the data arrive at Earth a cross correlation is performed and the results stored. The mathematics of cat scans can then be used to form a two dimensional image of the source.

Just now I have realized an error of several orders of magnitude. The bandwidth to earth, measured in GHz, does not suffice to carry the information that the resolution of the very long base line interferometry of the configuration suggests. Except for that the arithmetic suggests a picture of a distant galaxy with seveal million pixels in both directions.