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

Brian J. Thelen; Richard G. Paxman

doi:10.1117/12.188048

30 September 1994 Parameter dimension of turbulence-induced phase errors and its effects on estimation in phase diversity

Brian J. Thelen, Richard G. Paxman

Author Affiliations +

Proceedings Volume 2302, Image Reconstruction and Restoration; (1994) https://doi.org/10.1117/12.188048
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

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.

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Brian J. Thelen and Richard G. Paxman "Parameter dimension of turbulence-induced phase errors and its effects on estimation in phase diversity", Proc. SPIE 2302, Image Reconstruction and Restoration, (30 September 1994); https://doi.org/10.1117/12.188048

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