NDLI: Limit of the Accuracy of Parameter Estimation for Moving Single Molecules Imaged by Fluorescence Microscopy

Content Provider	IEEE Xplore Digital Library
Author	Yau Wong Zhiping Lin Ober, R.J.
Copyright Year	1991
Abstract	In this paper, we consider the problem of the accuracy of estimating the location and other attributes of a moving single molecule whose trajectory is imaged by fluorescence microscopy. As accuracy in parameter estimation is closely related to the Fisher information matrix, we first give a general expression of the Fisher information matrix for the estimated parameters for a single object moving in three-dimensional (3D) space. Explicit Cramér-Rao lower bound (CRLB) expressions are then obtained from the Fisher information matrix for a single object moving in the two-dimensional (2D) focus plane with the object trajectory being either linear or circular. We also investigate how extraneous noise sources, pixelation, parameters of the detection system and parameters of the trajectory affect the limit of the accuracy. The results obtained in this paper provide insights that enable the experimentalists to optimize their experimental setups for tracking single molecules in order to achieve the best possible accuracy. They are also applicable to the general problem of tracking an object using quantum limited detectors.
Sponsorship	IEEE Signal Processing Society
Starting Page	895
Ending Page	911
Page Count	17
File Size	647594
File Format	PDF
ISSN	1053587X
Volume Number	59
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Accuracy Detectors Trajectory Microscopy Photonics Pixel Optical microscopy single-molecule microscopy Cramér-Rao lower bound (CRLB) Fisher information matrix fluorescence microscopy limit of the accuracy moving object quantum limited imaging
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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