25 November 1985 Statistical Analysis of the Weighted Shift and Add Image Reconstruction Technique
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Abstract
The Weighted Shift-and-Add algorithm (WSA) is an image reconstruction technique whereby diffraction limited images of astronomical objects are obtained from speckle interferometric data. This paper attempts to put the understanding of WSA on a firm mathematical basis by a statistical analysis of the algorithm. The approach follows that of the Hunt, Fright, and Bates study carried out for the Simple Shift-and-Add algorithm. The expected WSA profile is found to be linearly dependent on the square modulus complex coherence function of a speckle pattern. The last section of this paper contains a discussion of how the statistical analysis compares to the results obtained with our new Weighted Shift-and-Add procedures using cross-correlation (WSA/XC) and deconvolution (WSA/WD).
© (1985) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
J. D. Freeman, J. D. Freeman, E. Ribak, E. Ribak, J. C. Christou, J. C. Christou, E. K. Hege, E. K. Hege, "Statistical Analysis of the Weighted Shift and Add Image Reconstruction Technique", Proc. SPIE 0556, Intl Conf on Speckle, (25 November 1985); doi: 10.1117/12.949552; https://doi.org/10.1117/12.949552
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