TY - GEN
T1 - A computationally-efficient bound for the variance of measuring the orientation of single molecules
AU - Wu, Tingting
AU - Ding, Tianben
AU - Mazidi, Hesam
AU - Zhang, Oumeng
AU - Lew, Matthew D.
N1 - Funding Information:
This work is supported by the National Science Foundation (NSF) (ECCS-1653777) and the National Institute of General Medical Sciences of the National Institutes of Health (R35GM124858).
Publisher Copyright:
© COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Cramér-Rao bound
KW - Orientation estimation precision
KW - Variance upper bound
UR - http://www.scopus.com/inward/record.url?scp=85082171257&partnerID=8YFLogxK
U2 - 10.1117/12.2543813
DO - 10.1117/12.2543813
M3 - Conference contribution
AN - SCOPUS:85082171257
T3 - Progress in Biomedical Optics and Imaging - Proceedings of SPIE
BT - Single Molecule Spectroscopy and Superresolution Imaging XIII
A2 - Gregor, Ingo
A2 - Koberling, Felix
A2 - Erdmann, Rainer
PB - SPIE
T2 - Single Molecule Spectroscopy and Superresolution Imaging XIII 2020
Y2 - 1 February 2020 through 2 February 2020
ER -