Optimal Determination of the Equilibrium Displacement of a Damped Harmonic Oscillator in the Presence of Thermal Noise

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dc.creatorMoore, M. W.
dc.creatorSteffen, J. H.
dc.creatorBoynton, P. E.
dc.date2004-12-17
dc.date.accessioned2026-07-07T12:00:21Z
dc.date.available2026-07-07T12:00:21Z
dc.descriptionUsing a matched filter technique, we derive the minimum variance, unbiased estimator for the equilibrium displacement of a damped harmonic oscillator in thermal equilibrium when interactions with the thermal bath are the leading source of noise. We compare the variance in this optimal estimator with the variance in other, commonly used estimators in the presence of pure thermal noise and pure white noise. We also compare the variance in these estimators for a mixture of white and thermal noise. This result has implications for experimental design and the collection and analysis of data.
dc.description12 pages, 6 figures, submitted to Review of Scientific Instruments, revtex4
dc.identifierhttps://arxiv.org/abs/physics/0412102
dc.identifierhttp://arxiv.org/abs/physics/0412102
dc.identifierRev.Sci.Instrum.76:085106,2005
dc.identifierdoi:10.1063/1.1994985
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206827
dc.subjectData Analysis, Statistics and Probability
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOptimal Determination of the Equilibrium Displacement of a Damped Harmonic Oscillator in the Presence of Thermal Noise
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