Shibdas Roy, Obaid Ur Rehman, Ian R. Petersen, Elanor H. Huntington
Precise tracking of a randomly varying optical phase is key to metrology, with applications in optical communication. Continuous phase estimation is known to be superior in accuracy as compared to static estimation. The underlying parameters in the signal model or the measurement itself are, however, prone to changes owing to unavoidable external noises or apparatus imperfections. The estimation process is, thus, desired to be made robust to uncertainties in these parameters. Here, homodyne phase estimations of coherent and squeezed states of light, evolving continuously under the influence of a resonant noise process, are made robust to parameter uncertainties using a robust fixed-interval smoother, designed for uncertain systems satisfying a certain integral quadratic constraint.
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http://arxiv.org/abs/1303.2542
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