Data-Driven Filtering for Large-Scale Adaptive Optics

The visualization of objects within or beyond a turbulent medium is hampered by the aberrations the medium induces in the wavefront. The sharpness of an image is maximal when the incoming wavefront is flat, with aberrated wavefronts yielding distorted images of limited utility. In the particular case of astronomy, the flat wavefront of the light...

Tensor Network Kalman Filter for Large-Scale MIMO Systems: With Application to Adaptive Optics

For large-scale system with tens of thousands of states and outputs the computation in the conventional Kalman filter becomes time-consuming such that Kalman filtering in large-scale real-time application is practically infeasible. A possible mathematical framework to lift the curse of dimensionality is to lift the problem in higher dimensions...

Recursive Kronecker-based Vector Auto-Regressive identification for large-scale Adaptive Optics systems

Adaptive Optics (AO) play an essential role in the field of astronomical seeing for ground-based telescopes, providing a corrected image from the disturbance caused by the light having to travel through the turbulent atmosphere of our Earth. To provide us with more detailed images, the sizes of these telescopes are getting increasingly larger....