Discrete fourier transform in a complex vector space

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United States of America Patent

PATENT NO 9075749
APP PUB NO 20120109559A1
SERIAL NO

13043257

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An image-based phase retrieval technique has been developed that can be used on board a space based iterative transformation system. Image-based wavefront sensing is computationally demanding due to the floating-point nature of the process. The discrete Fourier transform (DFT) calculation is presented in “diagonal” form. By diagonal we mean that a transformation of basis is introduced by an application of the similarity transform of linear algebra. The current method exploits the diagonal structure of the DFT in a special way, particularly when parts of the calculation do not have to be repeated at each iteration to converge to an acceptable solution in order to focus an image.

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  • UNITED STATES OF AMERICA AS REPRESENTED BY THE ADMINISTRATOR OF THE NATIONAL AERONAUTICS AND SPACE ADMINISTRATION

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Inventor Name Address # of filed Patents Total Citations
Dean, Bruce H New Market, US 14 27

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