Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985tdar.rept..199r&link_type=abstract
In its The Telecommun. and Data Acquisition Progr. Rept. p 199-210 (SEE N86-10382 01-32)
Astronomy and Astrophysics
Astronomy
Brightness Distribution, Iterative Solution, Least Squares Method, Mapping, Radio Sources (Astronomy), Very Long Base Interferometry, Data Processing, Digital Computers, Fourier Transformation
Scientific paper
A method is described for producing improved mapping of radio sources from Very Long Base Interferometry (VLBI) data. The method described is more direct than existing Fourier methods, is often more accurate, and runs at least as fast. The visibility data is modeled here, as in existing methods, as a function of the unknown brightness distribution and the unknown antenna gains and phases. These unknowns are chosen so that the resulting function values are as near as possible to the observed values. If researchers use the radio mapping source deviation to measure the closeness of this fit to the observed values, they are led to the problem of minimizing a certain function of all the unknown parameters. This minimization problem cannot be solved directly, but it can be attacked by iterative methods which we show converge automatically to the minimum with no user intervention. The resulting brightness distribution will furnish the best fit to the data among all brightness distributions of given resolution.
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