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physics.data-an2008
Optimal Estimation of Several Linear Parameters in the Presence of Lorentzian Thermal Noise
Jason H. Steffen, Michael W. Moore, Paul E. Boynton
In a previous article we developed an approach to the optimal (minimum variance, unbiased) statistical estimation technique for the equilibrium displacement of a damped, harmonic o…
physics.data-an2004
Optimal Determination of the Equilibrium Displacement of a Damped Harmonic Oscillator in the Presence of Thermal Noise
M. W. Moore, J. H. Steffen, P. E. Boynton
Using a matched filter technique, we derive the minimum variance, unbiased estimator for the equilibrium displacement of a damped harmonic oscillator in thermal equilibrium when in…