Correcting atmospheric-induced phase errors of a synthetic aperture antenna array by time series modeling and Kalman filtering

Astronomy and Astrophysics – Astronomy

Scientific paper

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Antenna Arrays, Atmospheric Correction, Kalman Filters, Phase Error, Synthetic Aperture Radar, Time Series Analysis, Image Processing, Radio Astronomy, Radio Interferometers, Radio Sources (Astronomy), Seeing (Astronomy), State Estimation

Scientific paper

A new technique is discussed and developed for correcting atmospherically induced errors in phase data collected by ratio astronomy interferometers and synthetic aperture antenna arrays. The main features of this technique are modeling and filtering the information content of the complex visibility data in time sequences. In conjunction with other radio astronomy data processing algorithms, a time series modeling and parameter estimation technique is developed to obtain noise models and source models from observed phase data. Once the models are in a space format, the Kalman filter is used for optimally extracting source information from the noisy data. The synthetic image is then improved by reducing the phase error. The quality of the corrected phase data is quantitatively described by the error covariance matrix of the Kalman filter.

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