5.12.10

I feel like my brain's overheating from all the wasted processing cycles I'm asking it to do this week, mainly due to my shallow grasp of concepts I should know by now. The problem with doing several complicated dance moves simultaneously is that they all overlap into something that resembles a seizure more than a coherent motion.

1. Making headway in my subspace ID book. I found the presentation of prediction theory from a Hilbert Space perspective to be particularly illuminating once I finally got wtf was going on. Now embarking on several chapters on stochastic realization.

2. Now that I can roughly identify a noise model from input/output data, the question is how to construct the optimal controller. This is covered in a past grad's thesis that I'm dissecting; like all dissertations its terse, and lets the references do most of the talking.

3. We've struggled for some time for a way to evaluate layer velocities for a turbulence model given a state space realization if you assume "frozen flow" holds. In the past people have estimated the velocity by looking at the spatial autocorrelation of the WFS measurements and tracking the peak. I brought up the point that perhaps the steady-state autocorrelations could be derived analytically from the state space realization, specifically the state covariance matrix. Its not clear if this is feasible or if I was just high on lens cleaning fumes.

4. I'm also working on a midterm for the class I'm taking, doing some analysis of neuronal pattern generators using quasi-linear multivariable harmonic balance. Yeah.

Shits gettin real.