Adapting optimal LQG methods to ELT-sized AO systems

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Abstract

The minimum-variance (MV) phase residual Linear-Quadratic-Gaussian (LQG) solution in Adaptive Optics (AO) using fast iterative methods is outlined. Standard LQG computational burden scaling as O(n2) is shown to be O(n log n) using spectral methods. Proof-of-concept is made through Monte Carlo simulations.

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Correia, C., Conan, J. M., Kulcsár, C., Raynaud, H. F., & Petit, C. (2020). Adapting optimal LQG methods to ELT-sized AO systems. In 1st AO4ELT Conference - Adaptive Optics for Extremely Large Telescopes. EDP Sciences. https://doi.org/10.1051/ao4elt/201007003

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