Commit cd898888 by Sebastien Bourdeauducq

### Calibration formulas

parent 3fb9966d
 TEX=tdc.tex PDF=$(TEX:.tex=.pdf) AUX=$(TEX:.tex=.aux) LOG=$(TEX:.tex=.log) ... ...  ... ... @@ -18,6 +18,31 @@ \setlength{\parskip}{5pt} \maketitle{} \section{Specifications} TODO \section{Calibration mechanism} In the formulas below: \begin{itemize} \item$T_{sys}$is the system clock period. \item$H(n)$is the number of hits in the histogram for bin$n$. \item$W(n)$is the width of bin$n$. \item$C = \displaystyle\sum\limits_{n} H(n)$is the total number of hits in the histogram. \item$R(n)$is the time stamp of an event whose signal propagated up to bin$n$. The LUT contains the function$R$. \item$f$(respectively$f_{0}\$) is the current (respectively reference) frequency of the online calibration ring oscillator. \end{itemize} \subsection{Offline calibration} W_{0}(n) = \frac{H(n)}{C} \cdot T_{sys} R_{0}(n) = \displaystyle\sum\limits_{i=0}^{n}{W_{0}(i)} = \frac{T_{sys}}{C} \cdot \displaystyle\sum\limits_{i=0}^{n}{H(i)} \subsection{Online calibration} R(n) = \frac{f_{0}}{f} \cdot R_{0}(n) \end{document}
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