Integrating bias and gain invariance with the generalized Anscombe transform for wavefront sensing

Joseph S. Tang; James R. Fienup

doi:10.1117/12.2562416

13 December 2020 Integrating bias and gain invariance with the generalized Anscombe transform for wavefront sensing

Joseph S. Tang, James R. Fienup

Proceedings Volume 11443, Space Telescopes and Instrumentation 2020: Optical, Infrared, and Millimeter Wave; 1144348 (2020) https://doi.org/10.1117/12.2562416
Event: SPIE Astronomical Telescopes + Instrumentation, 2020, Online Only

Conference Poster

Abstract

In image-based wavefront sensing by phase retrieval, the sum-squared difference (SSD) of simulated and measured PSF intensities, i.e., the intensity error metric (IEM), suffers from noise model mismatch. The IEM assumes additive Gaussian noise, but the true noise model is mixed Poisson-Gaussian (PG). The generalized Anscombe transform (GAT) addresses this issue by transforming the noise model from mixed PG to approximately additive Gaussian. We developed a method that uses the bias and gain terms derived for the bias-and-gain-invariant (BGI) IEM to create a BGI GAT error metric (GEM) and a BGI SSD of field amplitudes, i.e., amplitude error metric (AEM). We performed simulations comparing the retrieval accuracy of the three BGI metrics for various amounts of mixed PG noise. We found that the BGI GEM performs comparable or better than the BGI IEM and AEM for all amounts of mixed PG noise. Therefore, the BGI GEM is a good general-use error metric that works well for any mixed PG noise.

Conference Presentation

Citation Download Citation

Joseph S. Tang and James R. Fienup "Integrating bias and gain invariance with the generalized Anscombe transform for wavefront sensing", Proc. SPIE 11443, Space Telescopes and Instrumentation 2020: Optical, Infrared, and Millimeter Wave, 1144348 (13 December 2020); https://doi.org/10.1117/12.2562416

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