Adaptive calibration of radio interferometer data

Astronomy and Astrophysics – Astronomy

Scientific paper

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193

Adaptive Control, Calibrating, Data Reduction, Error Analysis, Instrument Compensation, Radio Interferometers, Antenna Arrays, Instrument Errors, Mathematical Models, Radio Sources (Astronomy), Statistical Correlation, Very Long Base Interferometry

Scientific paper

The problem of adaptive compensation for systematic error in radio interferometer data is considered. The analysis here applies generally only to multi-element arrays in which the correlations among all antenna pairs are observed. Given a set of assumptions on the analytic properties of the radio source brightness distribution, and given a mathematical or statistical model of the errors corrupting the data, an optimal estimate is to be made, in some well-defined sense, of the true source brightness distribution. According to a realistic error model, many measurements may have the same component of error; hence one might expect the problem of adaptive error compensation to be tractable, given a minimal set of assumptions. Attention is given to an error model, possible assumptions, an outline of concrete methods, and the implementation of the most convenient method.

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