SangYoon Chung edited Burst_Variance_Analysis.tex  about 8 years ago

Commit id: 680f7fe3db6c55f279ad9f6f5f4713783a95bd24

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N_a \sim \operatorname{Binom} \{n, E\}  \end{equation}  \begin{equation}  \label{eq:binom_std}  \operatorname{Std(E)} = {\sqrt{\frac{E(1 - E)}{n}}}  \end{equation}  BVA analysis consists of four steps: 1) slicing bursts into sub-bursts containing \textit{n} consecutive photons, 2) computing FRET efficiencies of each sub-burst, 3) calculating the empirical standard deviation ($s_E$) of sub-burst FRET efficiencies over the whole burst, and 4) comparing $s_E$ to an expected standard deviation based on shot noise limited distribution~\cite{Torella_2011}.