It is well-known that adaptive homodyne estimation of continuously varying
optical phase provides superior accuracy in the phase estimate as compared to
adaptive or non-adaptive static estimation. However, most phase estimation
schemes rely on precise knowledge of the underlying parameters of the system
under measurement, and performance deteriorates significantly with changes in
these parameters; hence it is desired to develop robust estimation techniques
immune to such uncertainties. In related works, we have already shown how
adaptive homodyne estimation can be made robust to uncertainty in an underlying
parameter of the phase varying as a simplistic Ornstein-Uhlenbeck stochastic
noise process. Here, we demonstrate robust phase estimation for a more
complicated resonant noise process using a guaranteed cost robust filter.Comment: 5 pages, 10 figures, Proceedings of the 2013 Multi-Conference on
Systems and Contro
