Changeset 6371

Timestamp:

02/11/05 09:59:57 (20 years ago)

Author:

gaug

Message:

*** empty log message ***

Location:

trunk/MagicSoft/TDAS-Extractor

Files:

• Algorithms.tex (modified) (3 diffs)
• PedestalSpectrum-23-Run38993.eps (added)
• PedestalSpectrum-24-Run38993.eps (added)
• PedestalSpectrum-25-Run38993.eps (added)
• PedestalSpectrum-26-Run38993.eps (added)
• PedestalSpectrum-28-Run38993.eps (added)

trunk/MagicSoft/TDAS-Extractor/Algorithms.tex

@@ -469 +469 @@
 The expected contribution of the noise to the estimated amplitude, $\sigma_E$, is:
 
-\begin{equation}\label{of_noise}
+\begin{equation}
 \sigma_E^2=\boldsymbol{V}_{E,E}
         =\frac{\dot{\boldsymbol{g}}^T\boldsymbol{B}^{-1}\dot{\boldsymbol{g}}}
         {(\boldsymbol{g}^T \boldsymbol{B}^{-1} \boldsymbol{g})(\dot{\boldsymbol{g}}^T\boldsymbol{B}^{-1}\dot{\boldsymbol{g}}) -(\dot{\boldsymbol{g}}^T\boldsymbol{B}^{-1}\boldsymbol{g})^2} \ .
+\label{eq:of_noise}
 \end{equation}
 
 The expected contribution of the noise to the estimated timing, $\sigma_{\tau}$, is:
 
-\begin{equation}\label{of_noise_time}
+\begin{equation}
 E^2 \cdot \sigma_{\tau}^2=\boldsymbol{V}_{E\tau,E\tau}
         =\frac{{\boldsymbol{g}}^T\boldsymbol{B}^{-1}{\boldsymbol{g}}}
         {(\boldsymbol{g}^T \boldsymbol{B}^{-1} \boldsymbol{g})(\dot{\boldsymbol{g}}^T\boldsymbol{B}^{-1}\dot{\boldsymbol{g}}) -(\dot{\boldsymbol{g}}^T\boldsymbol{B}^{-1}\boldsymbol{g})^2} \ .
+\label{eq:of_noise_time}
 \end{equation}
 
@@ -486 +488 @@
 reconstructed signal and time of:
 
-\begin{equation}\label{of_noise}
+\begin{equation}
 \sigma_E \approx 8.3 \ \mathrm{FADC\ counts} \qquad \sigma_{\tau}  \approx  \frac{6.5\ \Delta T_{\mathrm{FADC}}}{(E\ /\ \mathrm{FADC\ counts})} \ ,
+\label{eq:of_noise_calc}
 \end{equation}
 
@@ -879 +882 @@
 %%% TeX-master: "MAGIC_signal_reco"
 %%% TeX-master: "MAGIC_signal_reco.te"
+%%% TeX-master: "MAGIC_signal_reco.te"
 %%% End: