Tuesday, July 16, 2013

1307.3800 (Shan Zheng Ang et al.)

Optomechanical parameter estimation    [PDF]

Shan Zheng Ang, Glen I. Harris, Warwick P. Bowen, Mankei Tsang
We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cram\'er-Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of radiometer and expectation-maximization (EM) algorithms in the estimation of the force noise power. When applied to experimental data, the EM estimator is found to have the lowest error and follow the Cram\'er-Rao bound most closely. With its ability to estimate most of the system parameters, the EM algorithm is envisioned to be useful for optomechanical sensing, atomic magnetometry, and classical or quantum system identification applications in general.
View original: http://arxiv.org/abs/1307.3800

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