Statistics
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989aj.....98.1112k&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 98, Sept. 1989, p. 1112-1130. Research supported by the W. M. Keck Foundation.
Statistics
17
Infrared Interferometers, Noise Generators, Radio Interferometers, Signal To Noise Ratios, Synthetic Apertures, Covariance, Random Variables, Variance (Statistics), Very Large Array (Vla), Very Long Base Interferometry
Scientific paper
A complete theory of noise in a synthesis image is proposed for a source of arbitrary strength. In the limit of faint sources, the standard estimates of noise in a synthesis image are recovered, while in the limit of strong sources, the noise in the synthesis image is found to be dominated by either self noise or by the noise generated by the source signal itself. It is found that the best VLBI maps (with noise approaching the thermal noise) may in fact be limited by self noise, and that there is a negligible bias in the standard definitions of the bispectrum phasor and the closure phase. The results suggest that at the low signal levels which are characteristic of infrared interferometers, it is best to fit the model to all the closure phases and fringe amplitudes.
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