Mathematics – Probability
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987spie..828...73e&link_type=abstract
IN: Digital image recovery and synthesis; Proceedings of the Meeting, San Diego, CA, Aug. 17, 18, 1987 (A88-51101 22-35). Bellin
Mathematics
Probability
Atmospheric Turbulence, Computerized Simulation, Karhunen-Loeve Expansion, Probability Density Functions, Speckle Interferometry, Bayes Theorem, Covariance, Eigenvalues, Stochastic Processes
Scientific paper
A technique for finding the most probable object to have resulted in a set of images taken through the turbulent atmosphere is compared to speckle interferometry. The technique involves taking a Karhunen-Loeve decomposition of the set of distortion functions and approximating the probability distributions of the coefficients of the Karhunen-Loeve basis. The probability of an object giving rise to an image is defined as the product of the probabilities of the presumed independent coefficients of the basis vectors. A computer simulation was performed, and parameter estimation was performed using the new technique and standard speckle interferometry. The maximum probability technique generates parameter estimates that have standard deviations over an order of magnitude smaller than the speckle interferometry estimates.
Ebstein Steven M.
Korff David
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