Quantitative evaluation of cross correlation between two finite-length time series with applications to single-molecule FRET

Jeffery A. Hanson; Haw Yang

doi:10.1021/jp804440y

Quantitative evaluation of cross correlation between two finite-length time series with applications to single-molecule FRET

Jeffery A. Hanson, Haw Yang

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

The statistical properties of the cross correlation between two time series has been studied. An analytical expression for the cross correlation function's variance has been derived. On the basis of these results, a statistically robust method has been proposed to detect the existence and determine the direction of cross correlation between two time series. The proposed method has been characterized by computer simulations. Applications to single-molecule fluorescence spectroscopy are discussed. The results may also find immediate applications in fluorescence correlation spectroscopy (FCS) and its variants.

Original language	English (US)
Pages (from-to)	13962-13970
Number of pages	9
Journal	Journal of Physical Chemistry B
Volume	112
Issue number	44
DOIs	https://doi.org/10.1021/jp804440y
State	Published - Nov 6 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Materials Chemistry
Surfaces, Coatings and Films
Physical and Theoretical Chemistry

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10.1021/jp804440y

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title = "Quantitative evaluation of cross correlation between two finite-length time series with applications to single-molecule FRET",

abstract = "The statistical properties of the cross correlation between two time series has been studied. An analytical expression for the cross correlation function's variance has been derived. On the basis of these results, a statistically robust method has been proposed to detect the existence and determine the direction of cross correlation between two time series. The proposed method has been characterized by computer simulations. Applications to single-molecule fluorescence spectroscopy are discussed. The results may also find immediate applications in fluorescence correlation spectroscopy (FCS) and its variants.",

author = "Hanson, {Jeffery A.} and Haw Yang",

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AU - Yang, Haw

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AB - The statistical properties of the cross correlation between two time series has been studied. An analytical expression for the cross correlation function's variance has been derived. On the basis of these results, a statistically robust method has been proposed to detect the existence and determine the direction of cross correlation between two time series. The proposed method has been characterized by computer simulations. Applications to single-molecule fluorescence spectroscopy are discussed. The results may also find immediate applications in fluorescence correlation spectroscopy (FCS) and its variants.

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Quantitative evaluation of cross correlation between two finite-length time series with applications to single-molecule FRET

Abstract

All Science Journal Classification (ASJC) codes

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