Quantitative evaluation of cross correlation between two finite-length time series with applications to single-molecule FRET.
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.
Hanson
Jeffery A
JA
Department of Chemistry, Physical Biosciences Division, University of Calfornia at Berkeley, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA.
Yang
Haw
H
D000263:Adenylate Kinase / Q000737:chemistry / Q000378:metabolism; D003198:Computer Simulation; D005069:Evaluation Studies as Topic; D031541:Fluorescence Resonance Energy Transfer; D008954:Models, Biological; D008956:Models, Chemical; D010455:Peptides / Q000737:chemistry; D011487:Protein Conformation; D013997:Time Factors
D010455:Peptides; C011083:polyproline; D000263:Adenylate Kinase