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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(n 2 ) is shown to be O(n log n) using spectral methods. Proof-of-concept is made through Monte Carlo simulations.

Adapting optimal LQG methods to ELT-sized AO systems