A comparison of phase retrieval algorithms applied to infrared astronomical speckle data

Astronomy and Astrophysics – Astronomy

Scientific paper

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Image Reconstruction, Infrared Astronomy, Signal To Noise Ratios, Speckle Patterns, Spectrum Analysis, Algorithms, Fourier Transformation, Power Spectra, Simulation

Scientific paper

Four phase-retrieval techniques have been implemented for one-dimensional infrared specklegrams: bispectrum analysis, Knox-Thompson, phase-gradient, and simple shift-and-add. Special emphasis has been placed on the problems of phase retrieval using these algorithms. A detailed statistical analysis is developed for each technique, and error bars are computed for the retrieved object phases. The performance of these four techniques has been compared using simulated point source and extended object data, both observed under different signal-to-noise conditions. Recommendations are made as to which method produces the best precision in the final result with respect to computation time and ease of implementation. Since each algorithm, especially the bispectrum, becomes more formidable when applied to two-dimensional data, this study is both timely and useful.

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