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Proceedings Paper

Parameter dimension of turbulence-induced phase errors and its effects on estimation in phase diversity
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Paper Abstract

The method of phase diversity has been used in the context of incoherent imaging to estimate jointly an object that is being imaged and phase aberrations induced by atmospheric turbulence. The method requires a parametric model for the phase-aberration function. Typically, the parameters are coefficients to a finite set of basis functions. Care must be taken in selecting a parameterization that properly balances accuracy in the representation of the phase- aberration function with stability in the estimates. It is well known that over parameterization can result in unstable estimates. Thus a certain amount of model mismatch is often desirable. We derive expressions that quantify the bias and variance in object and aberration estimates as a function of parameter dimension.

Paper Details

Date Published: 30 September 1994
PDF: 12 pages
Proc. SPIE 2302, Image Reconstruction and Restoration, (30 September 1994); doi: 10.1117/12.188048
Show Author Affiliations
Brian J. Thelen, Environmental Research Institute of Michigan (United States)
Richard G. Paxman, Environmental Research Institute of Michigan (United States)


Published in SPIE Proceedings Vol. 2302:
Image Reconstruction and Restoration
Timothy J. Schulz; Donald L. Snyder, Editor(s)

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