Generalized orthogonal wavelet phase reconstruction
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Authors
Axtell, Travis W.
Cristi, Roberto
Subjects
Active or adaptive optics
Image processing
Wave-front sensing
Wavelets
Image processing
Wave-front sensing
Wavelets
Advisors
Date of Issue
2013-05
Date
2013-05
Publisher
Language
Abstract
Phase reconstruction is used for feedback control in adaptive optics systems. To achieve performance metrics for
high actuator density or with limited processing capabilities on spacecraft, a wavelet signal processing technique
is advantageous. Previous derivations of this technique have been limited to the Haar wavelet. This paper derives
the relationship and algorithms to reconstruct phase with O n computational complexity for wavelets with the
orthogonal property. This has additional benefits for performance with noise in the measurements. We also
provide details on how to handle the boundary condition for telescope apertures.
Type
Description
J. Opt. Soc. Am. A, Volume 30, No. 5, pp. 859-870 (May 2013)
The article of record as published may be located at http://dx.doi.org/10.1364/JOSAA.30.000859
The article of record as published may be located at http://dx.doi.org/10.1364/JOSAA.30.000859
Series/Report No
Department
Department of Electrical and Computer Engineering
Organization
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NPS Report Number
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The authors acknowledge email communication with
P. Hampton. This research was performed with the Adaptive
Optics Center of Excellence in National Security, located at
the Naval Postgraduate School. T. W. Axtell was funded by
the Department of Defense SMART Scholarship and Space
and Naval Warfare Command. Gratitude is also expressed
to the anonymous reviewers for their comments, which were
crucial for improving the quality of the paper.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.