Changeset 307 in ETALON for reconstruction

Timestamp:

Dec 4, 2015, 12:44:09 AM (9 years ago)

Author:

delerue

Message:

Version of the phase reconstruction paper submitted to ArXiV

Location:

reconstruction/long_paper3

Files:

• phase_reconstruction_paper.log (modified) (11 diffs)
• phase_reconstruction_paper.pdf (modified) (previous)
• phase_reconstruction_paper.tex (modified) (18 diffs)
• plot1510_131.eps (moved) (moved from reconstruction/long_paper3/plot1510/131.eps)
• plot1510_132.eps (moved) (moved from reconstruction/long_paper3/plot1510/132.eps)
• plot1510_15.eps (moved) (moved from reconstruction/long_paper3/plot1510/15.eps)
• plot1510_171.eps (moved) (moved from reconstruction/long_paper3/plot1510/171.eps)
• plot1510_172.eps (moved) (moved from reconstruction/long_paper3/plot1510/172.eps)
• plot1510_31.eps (moved) (moved from reconstruction/long_paper3/plot1510/31.eps)
• plot1510_32.eps (moved) (moved from reconstruction/long_paper3/plot1510/32.eps)
• plot2210_181.eps (moved) (moved from reconstruction/long_paper3/plot2210/181.eps)
• plot2210_182.eps (moved) (moved from reconstruction/long_paper3/plot2210/182.eps)
• plot2210_21.eps (moved) (moved from reconstruction/long_paper3/plot2210/21.eps)
• plot2210_22.eps (moved) (moved from reconstruction/long_paper3/plot2210/22.eps)
• plot2210_23.eps (moved) (moved from reconstruction/long_paper3/plot2210/23.eps)
• plot2210_24.eps (moved) (moved from reconstruction/long_paper3/plot2210/24.eps)
• plots/61.eps (deleted)
• plots/62.eps (deleted)
• plots2_92.eps (moved) (moved from reconstruction/long_paper3/plots2/92.eps)
• plots_1.eps (moved) (moved from reconstruction/long_paper3/plots/1.eps)
• plots_101.eps (moved) (moved from reconstruction/long_paper3/plots/101.eps)
• plots_102.eps (moved) (moved from reconstruction/long_paper3/plots/102.eps)
• plots_11541.eps (moved) (moved from reconstruction/long_paper3/plots/11541.eps)
• plots_11658.eps (moved) (moved from reconstruction/long_paper3/plots/11658.eps)
• plots_11914.eps (moved) (moved from reconstruction/long_paper3/plots/11914.eps)
• plots_12227.eps (moved) (moved from reconstruction/long_paper3/plots/12227.eps)
• plots_12231.eps (moved) (moved from reconstruction/long_paper3/plots/12231.eps)
• plots_12667.eps (moved) (moved from reconstruction/long_paper3/plots/12667.eps)
• plots_14.eps (moved) (moved from reconstruction/long_paper3/plots/14.eps)
• plots_161.eps (moved) (moved from reconstruction/long_paper3/plots/161.eps)
• plots_162.eps (moved) (moved from reconstruction/long_paper3/plots/162.eps)
• plots_41.eps (moved) (moved from reconstruction/long_paper3/plots/41.eps)
• plots_42.eps (moved) (moved from reconstruction/long_paper3/plots/42.eps)
• plots_51.eps (moved) (moved from reconstruction/long_paper3/plots/51.eps)
• plots_52.eps (moved) (moved from reconstruction/long_paper3/plots/52.eps)
• plots_61.eps (moved) (moved from reconstruction/long_paper3/plot2210/61.eps)
• plots_62.eps (moved) (moved from reconstruction/long_paper3/plot2210/62.eps)
• plots_71.eps (moved) (moved from reconstruction/long_paper3/plots/71.eps)
• plots_72.eps (moved) (moved from reconstruction/long_paper3/plots/72.eps)
• plots_81.eps (moved) (moved from reconstruction/long_paper3/plots/81.eps)
• plots_82.eps (moved) (moved from reconstruction/long_paper3/plots/82.eps)
• plots_91.eps (moved) (moved from reconstruction/long_paper3/plots/91.eps)

reconstruction/long_paper3/phase_reconstruction_paper.log

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 (./phase_reconstruction_paper.aux) ) 
 Here is how much of TeX's memory you used:
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- 350608 string characters out of 6137904
+ 17900 strings out of 493315
+ 350817 string characters out of 6137904
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  20871 multiletter control sequences out of 15000+600000
@@ -2097 +2206 @@
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 ></usr/local/texlive/2013/texmf-dist/fonts/type1/public/tex-gyre/qtmri.pfb>
-Output written on phase_reconstruction_paper.pdf (10 pages, 508949 bytes).
+Output written on phase_reconstruction_paper.pdf (10 pages, 508914 bytes).
 PDF statistics:
  516 PDF objects out of 1000 (max. 8388607)

reconstruction/long_paper3/phase_reconstruction_paper.tex

@@ -142 +142 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plots/1.eps}
+  \includegraphics*[width=70mm]{plots_1.eps}
   \caption{Example of profiles giving very different $\chi^2$ despite being relatively similar. \\
   $\chi^2_{\mbox{sine noise}}=3.8219\times 10^{-8}, \chi^2_{\mbox{offset}}=7.2661\times 10^{-8}$; For profile with sine noise: FW0.1M=0.0241, FW0.2M=0.044 FWHM=0.0621 FW0.8M=0.1849 FW0.9M=0.3619. As FWXM calculated from top of profile, for all profiles  FWXM=0. }% VH quetion 5
@@ -154 +154 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot2210/21.eps}\\
-  \includegraphics*[width=70mm]{plot2210/22.eps}\\
-  \includegraphics*[width=70mm]{plot2210/23.eps}\\
-  \includegraphics*[width=70mm]{plot2210/24.eps}\\
+  \includegraphics*[width=70mm]{plot2210_21.eps}\\
+  \includegraphics*[width=70mm]{plot2210_22.eps}\\
+  \includegraphics*[width=70mm]{plot2210_23.eps}\\
+  \includegraphics*[width=70mm]{plot2210_24.eps}\\
   \caption{The constraints on the parameters $\sigma_i$ (top) and $\mu_i$ (bottom) due to effect of scaling in terms of the $\chi^2$ and $Delta$FWHM ratio. For each point 1000 simulations were made.}%VH question 8
    \label{sigma_chi2}
@@ -190 +190 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot1510/31.eps} \\
-    \includegraphics*[width=70mm]{plot1510/32.eps}
+  \includegraphics*[width=70mm]{plot1510_31.eps} \\
+    \includegraphics*[width=70mm]{plot1510_32.eps}
   %\includegraphics*[width=70mm]{newFig/lin27e203line203.eps} 
   \caption{Comparison of different samplings with $\chi^2$ criterium (top) and $\Delta_{FWHM}$ (bottom).}
@@ -201 +201 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plots/41.eps} \\
-    \includegraphics*[width=70mm]{plots/42.eps}
+  \includegraphics*[width=70mm]{plots_41.eps} \\
+    \includegraphics*[width=70mm]{plots_42.eps}
   %\includegraphics*[width=70mm]{newFig/lin27e203line203.eps} 
   \caption{Detector position for linear sampling for a minimal detector distance of $5^o$ (top) and $10^o$ (bottom) .} 
@@ -214 +214 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=90mm]{plots/51.eps} \\
-  \includegraphics*[width=90mm]{plots/52.eps} 
+  \includegraphics*[width=90mm]{plots_51.eps} \\
+  \includegraphics*[width=90mm]{plots_52.eps} 
   \caption{Comparison of different sampling with number of MDD  with $\chi^2$ criterium (top) and $\Delta_{FWHM}$ (bottom). Ls is linear sampling with $1^o,5^o,10^0$ MDD and Ts is Triple sine sampling; mx mean the reconstruction use the maximum number of detectors (blue and red dots in figure \ref{lin12}).}
    \label{biglin}
@@ -228 +228 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot2210/61.eps}\\
-   \includegraphics*[width=70mm]{plot2210/62.eps}
+  \includegraphics*[width=70mm]{plots_61.eps}\\
+   \includegraphics*[width=70mm]{plots_62.eps}
   \caption{Effect of the sampling frequencies on the $\chi^2$ (top) and $\Delta_{FWHM}$ (bottom). }
    \label{sampling_chi2}
@@ -279 +279 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=65mm]{plots/71.eps}\\
-  \includegraphics*[width=65mm]{plots/72.eps}\\
+  \includegraphics*[width=65mm]{plots_71.eps}\\
+  \includegraphics*[width=65mm]{plots_72.eps}\\
 
     \caption{Comparison of different LF extrapolation: example of spectrum (top) and  profile (bottom) and histogram with mean $\chi^2$ for each method (bottom). Gaussian and Taylorian methods are described in the text. "Real LF spectrum" means that the real LF spectrum is used. For this simulation the Hilbert method of phase recovery and $A\omega^B$ high frequency extrapolation were used.}
@@ -289 +289 @@
  \centering
 
-  \includegraphics*[width=65mm]{plots/81.eps}
-    \includegraphics*[width=65mm]{plots/82.eps}
+  \includegraphics*[width=65mm]{plots_81.eps}
+    \includegraphics*[width=65mm]{plots_82.eps}
     \caption{Comparison of different LF extrapolation: histogram with mean $\chi^2$ for each method (top) and $\Delta_{FWHM}$ (bottom).  }
    \label{lf2}
@@ -348 +348 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=65mm]{plots/91.eps}\\
-  \includegraphics*[width=65mm]{plots2/92.eps}\\
+  \includegraphics*[width=65mm]{plots_91.eps}\\
+  \includegraphics*[width=65mm]{plots2_92.eps}\\
 
     \caption{Comparison of different HF extrapolations~: example of spectrum  (top) and profile (bottom). For these simulations the Hilbert reconstruction method of phase recovery and Gaussian LF extrapolations were used.}
@@ -356 +356 @@
 \begin{figure}[htbp]
  \centering
-    \includegraphics*[width=65mm]{plots/102.eps}\\
-        \includegraphics*[width=65mm]{plots/101.eps}\\
+    \includegraphics*[width=65mm]{plots_102.eps}\\
+        \includegraphics*[width=65mm]{plots_101.eps}\\
 
     \caption{Comparison of different HF extrapolation for Gaussian~: histogram with mean $\chi^2$ (top) and $\Delta_{FWHM}$ (bottom).}
@@ -386 +386 @@
  \centering
 %  \includegraphics*[trim=0 0 275 0 ,clip,width=95mm]{plot1000700.png}
-  \includegraphics*[width=65mm]{plots/11541.eps}\\
-  \includegraphics*[width=65mm]{plots/11658.eps}\\
-   \includegraphics*[width=65mm]{plots/11914.eps}
+  \includegraphics*[width=65mm]{plots_11541.eps}\\
+  \includegraphics*[width=65mm]{plots_11658.eps}\\
+   \includegraphics*[width=65mm]{plots_11914.eps}
   \caption{Examples of well reconstructed profile. The original profile is in blue and the profiles reconstructed with the Hilbert transform and the full Kramers-Kronig procedures are in red and black respectively.}
    \label{good_profiles}
@@ -396 +396 @@
  \centering
 %  \includegraphics*[trim=0 0 275 0 ,clip,width=95mm]{plot1000183.eps}
-  \includegraphics*[width=65mm]{plots/12227.eps}\\
-   \includegraphics*[width=65mm]{plots/12231.eps}\\
-    \includegraphics*[width=65mm]{plots/12667.eps}\\
+  \includegraphics*[width=65mm]{plots_12227.eps}\\
+   \includegraphics*[width=65mm]{plots_12231.eps}\\
+    \includegraphics*[width=65mm]{plots_12667.eps}\\
   \caption{Example of poorly reconstructed profile.  The original profile is in blue and the profiles reconstructed with the Hilbert transform and the full Kramers-Kronig procedures are in red and black respectively.}
    \label{bad_profiles}
@@ -410 +410 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot1510/131.eps} \\
-  \includegraphics*[width=70mm]{plot1510/132.eps} 
+  \includegraphics*[width=70mm]{plot1510_131.eps} \\
+  \includegraphics*[width=70mm]{plot1510_132.eps} 
   \caption{{$\Delta_{FWHM}$  (top)  and $\chi^2$ (bottom) distribution of 1000 simulations reconstructed using the Hilbert transform  method (black line) and Kramers-Kronig reconstruction method (red line).  }}% VH change name of picture and unite with other
    \label{profiles_stats_hilbert}
@@ -418 +418 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=100mm]{plots/14.eps}  
+  \includegraphics*[width=100mm]{plots_14.eps}  
   \caption{Example of reconstructed profile with zooms on the peak and tails. One can see that the profile reconstructed using the Kramers-Kronig method has a negative component. This will dominate the final $\chi^2$ and explains why the $\chi^2$ obtained by this method is higher as shown in figure~\ref{profiles_stats_hilbert}.}% VH change name of picture and unite with other
    \label{expKK}
@@ -431 +431 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot1510/15.eps} 
+  \includegraphics*[width=70mm]{plot1510_15.eps} 
   \caption{$\Delta_{FWXM}$  for 1000 profiles with both methods.}%VH add  picture 
    \label{fwxm}
@@ -438 +438 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=65mm]{plots/161.eps}\\
-    \includegraphics*[width=65mm]{plots/162.eps}
+  \includegraphics*[width=65mm]{plots_161.eps}\\
+    \includegraphics*[width=65mm]{plots_162.eps}
     \caption{Original and reconstructed profile and their difference for bad profile (top) and good profile (bottom).}
    \label{mod}
@@ -450 +450 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot1510/171.eps} \\
-  \includegraphics*[width=70mm]{plot1510/172.eps} \\
+  \includegraphics*[width=70mm]{plot1510_171.eps} \\
+  \includegraphics*[width=70mm]{plot1510_172.eps} \\
 %  \includegraphics*[width=75mm]{THPME088f10.eps}
   \caption{Distribution of the $\chi^2$ in the case of a Lorenzian distribution. }
@@ -468 +468 @@
 \begin{figure}[htbp]
  \centering
-  \includegraphics*[width=70mm]{plot2210/181.eps}\\
-  \includegraphics*[width=70mm]{plot2210/182.eps}\\
+  \includegraphics*[width=70mm]{plot2210_181.eps}\\
+  \includegraphics*[width=70mm]{plot2210_182.eps}\\
   \caption{Mean $\chi^2$ and $\Delta_{FWXM}$  as function of noise amplitude.}
    \label{noise}