ArticleIEEE International Symposium on Circuits and Systems proceedings. IEEE International Symposium on Circuits and Systems2013
Influence of Prior Knowledge on the Accuracy Limit of Parameter Estimation in Single-Molecule Fluorescence Microscopy.
Article in IEEE International Symposium on Circuits and Systems proceedings. IEEE International Symposium on Circuits and Systems, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Fisher information theory for parameter estimation in single molecule microscopy: tutorial.Journal of the Optical Society of America. A, Optics, image science, and vision · 2016Article
- Limit of the Accuracy of Parameter Estimation for Two Molecules Moving in Close Proximity.IEEE International Symposium on Circuits and Systems proceedings. IEEE International Symposium on Circuits and Systems · 2015Article
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3 authors.
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Abstract
In estimation theory, it is known that prior knowledge of parameters can improve the Cramér-Rao lower bound (CRLB). In this paper, we study the influence of prior knowledge on the CRLB of the estimates of the parameters that describe the trajectory of a moving object (single molecule). Since the CRLB is obtained from the inverse of the Fisher information matrix, we present a general expression of the Fisher information matrix in terms of the image function, the object trajectory and the prior knowledge matrix. Applying this expression to an object moving linearly in a two-dimensional (2D) plane with two distinct cases of prior knowledge, explicit CRLB expressions are derived. From these expressions, we show that the improvement in the CRLB of the parameter estimates is dependent on which parameters are known.
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