Moving average process underlying the holographic-optical-tweezers experiments

Jakub Ślęzak; Sławomir Drobczyński; Karina Weron; Jan Masajada

doi:10.1117/12.2047271

17 December 2013 Moving average process underlying the holographic-optical-tweezers experiments

Jakub Ślęzak, Sławomir Drobczyński, Karina Weron, Jan Masajada

Proceedings Volume 9066, Eleventh International Conference on Correlation Optics; 90660J (2013) https://doi.org/10.1117/12.2047271
Event: Eleventh International Conference on Correlation Optics, 2013, Chernivsti, Ukraine

Abstract

We study statistical properties of the recordings which contain time-dependent positions of a bead trapped in optical tweezers. Analysis of such a time series indicates that the commonly accepted model, i.e., the autoregressive process of first order, is not sufficient to fit the data. We show a presence of the first-order moving average part in the dynamical model of the system. We explain origin of this part as an influence of the high frequency CCD camera on the measurements. The proposed autoregressive moving average model appears to reflect perfectly all statistical features of the high-frequency recording data.

Citation Download Citation

Jakub Ślęzak, Sławomir Drobczyński, Karina Weron, and Jan Masajada "Moving average process underlying the holographic-optical-tweezers experiments", Proc. SPIE 9066, Eleventh International Conference on Correlation Optics, 90660J (17 December 2013); https://doi.org/10.1117/12.2047271

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KEYWORDS

Data modeling

Optical tweezers

Autoregressive models

CCD cameras

Holography

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