Share Email Print
cover

Proceedings Paper

A computationally-efficient bound for the variance of measuring the orientation of single molecules
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

Modulating the polarization of excitation light, resolving the polarization of emitted fluorescence, and point spread function (PSF) engineering have been widely leveraged for measuring the orientation of single molecules. Typically, the performance of these techniques is optimized and quantified using the Cramér-Rao bound (CRB), which describes the best possible measurement variance of an unbiased estimator. However, CRB is a local measure and requires exhaustive sampling across the measurement space to fully characterize measurement precision. We develop a global variance upper bound (VUB) for fast quantification and comparison of orientation measurement techniques. Our VUB tightly bounds the diagonal elements of the CRB matrix from above; VUB overestimates the mean CRB by ~34%. However, compared to directly calculating the mean CRB over orientation space, we are able to calculate VUB ~1000 times faster.

Paper Details

Date Published: 13 February 2020
PDF: 6 pages
Proc. SPIE 11246, Single Molecule Spectroscopy and Superresolution Imaging XIII, 1124616 (13 February 2020); doi: 10.1117/12.2543813
Show Author Affiliations
Tingting Wu, Washington Univ. in St. Louis (United States)
Tianben Ding, Washington Univ. in St. Louis (United States)
Hesam Mazidi, Washington Univ. in St. Louis (United States)
Oumeng Zhang, Washington Univ. in St. Louis (United States)
Matthew D. Lew, Washington Univ. in St. Louis (United States)


Published in SPIE Proceedings Vol. 11246:
Single Molecule Spectroscopy and Superresolution Imaging XIII
Ingo Gregor; Felix Koberling; Rainer Erdmann, Editor(s)

© SPIE. Terms of Use
Back to Top
PREMIUM CONTENT
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?
close_icon_gray