Changeset 269 in ETALON for reconstruction


Ignore:
Timestamp:
Sep 20, 2015, 4:06:57 PM (9 years ago)
Author:
hodnevuc
Message:
 
Location:
reconstruction/long_paper3
Files:
5 edited

Legend:

Unmodified
Added
Removed

  • reconstruction/long_paper3/phase_reconstruction_paper.aux

    r264 r269  
    1717\newlabel{sigma_chi2}{{2}{2}}
    1818\citation{E203prstab}
     19\citation{pchip}
     20\citation{VBthesis}
    1921\newlabel{eq:lamb}{{7}{3}}
    2022\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Comparison of different samplings with $\chi ^2$ criterium (top) and $\Delta _{FWHM}$ (bottom).\relax }}{3}}
    2123\newlabel{samp}{{3}{3}}
    22 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Detector position for linear sampling for a minimal detector distance of $5^o$ (top) and $10^o$ (bottom) .\relax }}{3}}
    23 \newlabel{lin12}{{4}{3}}
    24 \citation{pchip}
    25 \citation{VBthesis}
     24\citation{VBthesis,DESYthesis}
     25\citation{LaiS}
     26\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Detector position for linear sampling for a minimal detector distance of $5^o$ (top) and $10^o$ (bottom) .\relax }}{4}}
     27\newlabel{lin12}{{4}{4}}
    2628\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces 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 on figure \ref  {lin12}).\relax }}{4}}
    2729\newlabel{biglin}{{5}{4}}
    28 \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Effect of the sampling frequencies on the $\chi ^2$ (top) and $\Delta _{FWHM}$ (bottom). \relax }}{4}}
    29 \newlabel{sampling_chi2}{{6}{4}}
    30 \citation{VBthesis,DESYthesis}
    31 \citation{LaiS}
     30\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Effect of the sampling frequencies on the $\chi ^2$ (top) and $\Delta _{FWHM}$ (bottom). \relax }}{5}}
     31\newlabel{sampling_chi2}{{6}{5}}
    3232\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces 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 was used the Hilbert method of phase recovery and $A\omega ^B$ high frequency extrapolation.\relax }}{5}}
    3333\newlabel{lf}{{7}{5}}
    34 \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Comparison of different LF extrapolation: histogram with mean $\chi ^2$ for each method (top) and $\Delta _{FWHM}$ (bottom). \relax }}{5}}
    35 \newlabel{lf2}{{8}{5}}
     34\@writefile{toc}{\contentsline {section}{Study of the reconstruction performance}{5}}
     35\citation{Pelliccia:2014vba}
     36\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Comparison of different LF extrapolation: histogram with mean $\chi ^2$ for each method (top) and $\Delta _{FWHM}$ (bottom). \relax }}{6}}
     37\newlabel{lf2}{{8}{6}}
    3638\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Comparison of different HF extrapolation~: example of spectrum (top) and profile (bottom). For these simulation was used the Hilbert reconstruction method of phase recovery and Gaussian LF extrapolations.\relax }}{6}}
    3739\newlabel{hf}{{9}{6}}
    3840\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces Comparison of different HF extrapolation for Gaussian~:histogram with mean $\chi ^2$ (top) and $\Delta _{FWHM}$ (bottom).\relax }}{6}}
    3941\newlabel{hf2}{{10}{6}}
    40 \@writefile{toc}{\contentsline {section}{Study of the reconstruction performance}{6}}
    41 \@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces 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.\relax }}{6}}
    42 \newlabel{good_profiles}{{11}{6}}
    43 \citation{Pelliccia:2014vba}
     42\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces 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.\relax }}{7}}
     43\newlabel{good_profiles}{{11}{7}}
    4444\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces 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.\relax }}{7}}
    4545\newlabel{bad_profiles}{{12}{7}}
    46 \@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces {$\Delta _{FWHM}$ (top) and $\chi ^2$ (bottom) distribution of 1000 simulations reconstructed using the Hilbert transform method (black line) and Kramers-Kronig reconstruction method (red line). }\relax }}{7}}
    47 \newlabel{profiles_stats_hilbert}{{13}{7}}
    48 \@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces 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 on figure~\ref  {profiles_stats_hilbert}.\relax }}{7}}
    49 \newlabel{expKK}{{14}{7}}
     46\@writefile{toc}{\contentsline {section}{Discussion}{7}}
     47\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces {$\Delta _{FWHM}$ (top) and $\chi ^2$ (bottom) distribution of 1000 simulations reconstructed using the Hilbert transform method (black line) and Kramers-Kronig reconstruction method (red line). }\relax }}{8}}
     48\newlabel{profiles_stats_hilbert}{{13}{8}}
     49\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces 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 on figure~\ref  {profiles_stats_hilbert}.\relax }}{8}}
     50\newlabel{expKK}{{14}{8}}
    5051\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces $\Delta _{FWXM}$ for 1000 profiles with both methods.\relax }}{8}}
    5152\newlabel{fwxm}{{15}{8}}
    52 \@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces Original and reconstructed profile and their difference for bad profile (top) and good profile (bottom).\relax }}{8}}
    53 \newlabel{mod}{{16}{8}}
    54 \@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces Distribution of the $\chi ^2$ in the case of a lorenzian distribution. \relax }}{8}}
    55 \newlabel{lorenz}{{17}{8}}
    56 \@writefile{toc}{\contentsline {section}{Discussion}{8}}
    57 \@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces Mean $\chi ^2$ and $\Delta _{FWXM}$ as function of noise amplitude.\relax }}{9}}
    58 \newlabel{noise}{{18}{9}}
     53\@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces Original and reconstructed profile and their difference for bad profile (top) and good profile (bottom).\relax }}{9}}
     54\newlabel{mod}{{16}{9}}
     55\@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces Distribution of the $\chi ^2$ in the case of a lorenzian distribution. \relax }}{9}}
     56\newlabel{lorenz}{{17}{9}}
     57\@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces Mean $\chi ^2$ and $\Delta _{FWXM}$ as function of noise amplitude.\relax }}{10}}
     58\newlabel{noise}{{18}{10}}
    5959\bibcite{OTR_LURE}{1}
    6060\bibcite{ODR_Cianchi}{2}

  • reconstruction/long_paper3/phase_reconstruction_paper.log

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  • reconstruction/long_paper3/phase_reconstruction_paper.tex

    r264 r269  
    140140\begin{figure}[htbp]
    141141 \centering
    142   \includegraphics*[width=70mm]{rev1/chiexp.eps}
     142  \includegraphics*[width=70mm]{plots/1.eps}
    143143  \caption{Example of profiles giving very different $\chi^2$ despite being relatively similar. \\
    144144  $\chi^2_{\mbox{sine noise}}=3.8219e-08, \chi^2_{\mbox{offset}}=7.2661e-08$; For profile with sine noise: FW0.1M=0.0241, FW0.2M=0.044 FWHM=0.0621 FW0.8M=0.1849 FW0.9M=0.3619. For offset profile all FWXM=0. }% VH change name of picture and unite with other
    … …  
    152152\begin{figure}[htbp]
    153153 \centering
    154   \includegraphics*[width=70mm]{del24/muCHI.eps}\\
    155   \includegraphics*[width=70mm]{del24/muFW.eps}\\
    156   \includegraphics*[width=70mm]{del24/sigCHI.eps}\\
    157   \includegraphics*[width=70mm]{del24/sigFW.eps}\\
     154  \includegraphics*[width=70mm]{plots/21.eps}\\
     155  \includegraphics*[width=70mm]{plots/22.eps}\\
     156  \includegraphics*[width=70mm]{plots/23.eps}\\
     157  \includegraphics*[width=70mm]{plots/24.eps}\\
    158158  \caption{Effect of scaling the constraints on the parameters $\sigma_i$ (top) and $\mu_i$ (bottom) on the $\chi^2$.}
    159159   \label{sigma_chi2}
    … …  
    190190\begin{figure}[htbp]
    191191 \centering
    192   \includegraphics*[width=70mm]{rev1/4.eps} \\
    193     \includegraphics*[width=70mm]{rev1/5.eps}
     192  \includegraphics*[width=70mm]{plots/31.eps} \\
     193    \includegraphics*[width=70mm]{plots/32.eps}
    194194  %\includegraphics*[width=70mm]{newFig/lin27e203line203.eps}
    195195  \caption{Comparison of different samplings with $\chi^2$ criterium (top) and $\Delta_{FWHM}$ (bottom).}%VH add  picture
    … …  
    201201\begin{figure}[htbp]
    202202 \centering
    203   \includegraphics*[width=70mm]{rev1/mmd5.eps} \\
    204     \includegraphics*[width=70mm]{rev1/mmd10.eps}
     203  \includegraphics*[width=70mm]{plots/41.eps} \\
     204    \includegraphics*[width=70mm]{plots/42.eps}
    205205  %\includegraphics*[width=70mm]{newFig/lin27e203line203.eps}
    206206  \caption{Detector position for linear sampling for a minimal detector distance of $5^o$ (top) and $10^o$ (bottom) .}%VH add  picture
    … …  
    214214\begin{figure}[htbp]
    215215 \centering
    216   \includegraphics*[width=90mm]{sep/ss1.eps} \\
    217   \includegraphics*[width=90mm]{sep/ss2.eps}
     216  \includegraphics*[width=90mm]{plots/51.eps} \\
     217  \includegraphics*[width=90mm]{plots/52.eps}
    218218  \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 on figure \ref{lin12}).}%VH add  picture
    219219   \label{biglin}
    … …  
    228228\begin{figure}[htbp]
    229229 \centering
    230   \includegraphics*[width=70mm]{rev4/chN.eps}\\
    231    \includegraphics*[width=70mm]{rev4/fwN.eps}
     230  \includegraphics*[width=70mm]{plots/61.eps}\\
     231   \includegraphics*[width=70mm]{plots/62.eps}
    232232  \caption{Effect of the sampling frequencies on the $\chi^2$ (top) and $\Delta_{FWHM}$ (bottom). }
    233233   \label{sampling_chi2}
    … …  
    279279\begin{figure}[htbp]
    280280 \centering
    281   \includegraphics*[width=65mm]{rev2/lfsp.eps}\\
    282   \includegraphics*[width=65mm]{rev2/lfpr.eps}\\
     281  \includegraphics*[width=65mm]{plots/71.eps}\\
     282  \includegraphics*[width=65mm]{plots/72.eps}\\
    283283
    284284    \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 was used the Hilbert method of phase recovery and $A\omega^B$ high frequency extrapolation.}
    … …  
    289289 \centering
    290290
    291   \includegraphics*[width=65mm]{new203/LF.eps}
    292     \includegraphics*[width=65mm]{rev3/lffw.eps}
     291  \includegraphics*[width=65mm]{plots/81.eps}
     292    \includegraphics*[width=65mm]{plots/82.eps}
    293293    \caption{Comparison of different LF extrapolation: histogram with mean $\chi^2$ for each method (top) and $\Delta_{FWHM}$ (bottom).  }
    294294   \label{lf2}
    … …  
    340340\begin{figure}[htbp]
    341341 \centering
    342   \includegraphics*[width=65mm]{rev2/hfsp.eps}\\
    343   \includegraphics*[width=65mm]{rev2/hfpr.eps}\\
     342  \includegraphics*[width=65mm]{plots/91.eps}\\
     343  \includegraphics*[width=65mm]{plots/92.eps}\\
    344344
    345345    \caption{Comparison of different HF extrapolation~: example of spectrum  (top) and profile (bottom). For these simulation was used the Hilbert reconstruction method of phase recovery and Gaussian LF extrapolations.}
    … …  
    348348\begin{figure}[htbp]
    349349 \centering
    350     \includegraphics*[width=65mm]{new203/HFGauss.eps}\\
    351         \includegraphics*[width=65mm]{rev4/hfgas.eps}\\
     350    \includegraphics*[width=65mm]{plots/102.eps}\\
     351        \includegraphics*[width=65mm]{plots/101.eps}\\
    352352
    353353    \caption{Comparison of different HF extrapolation for Gaussian~:histogram with mean $\chi^2$ (top) and $\Delta_{FWHM}$ (bottom).}
    … …  
    378378 \centering
    379379%  \includegraphics*[trim=0 0 275 0 ,clip,width=95mm]{plot1000700.png}
    380   \includegraphics*[width=65mm]{rev1/541.eps}\\
    381   \includegraphics*[width=65mm]{rev1/658.eps}\\
    382    \includegraphics*[width=65mm]{rev1/914.eps}
     380  \includegraphics*[width=65mm]{plots/11541.eps}\\
     381  \includegraphics*[width=65mm]{plots/11658.eps}\\
     382   \includegraphics*[width=65mm]{plots/11914.eps}
    383383  \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.}
    384384   \label{good_profiles}
    … …  
    388388 \centering
    389389%  \includegraphics*[trim=0 0 275 0 ,clip,width=95mm]{plot1000183.eps}
    390   \includegraphics*[width=65mm]{rev1/227.eps}\\
    391    \includegraphics*[width=65mm]{rev1/231.eps}\\
    392     \includegraphics*[width=65mm]{rev1/667.eps}\\
     390  \includegraphics*[width=65mm]{plots/12227.eps}\\
     391   \includegraphics*[width=65mm]{plots/12231.eps}\\
     392    \includegraphics*[width=65mm]{plots/12667.eps}\\
    393393  \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.}
    394394   \label{bad_profiles}
    … …  
    402402\begin{figure}[htbp]
    403403 \centering
    404   \includegraphics*[width=70mm]{rev1/2.eps} \\
    405   \includegraphics*[width=70mm]{new203/pic/3.eps}
     404  \includegraphics*[width=70mm]{plots/131.eps} \\
     405  \includegraphics*[width=70mm]{plots/132.eps}
    406406  \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
    407407   \label{profiles_stats_hilbert}
    … …  
    410410\begin{figure}[htbp]
    411411 \centering
    412   \includegraphics*[width=100mm]{rev3/compFig.eps} 
     412  \includegraphics*[width=100mm]{plots/14.eps} 
    413413  \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 on figure~\ref{profiles_stats_hilbert}.}% VH change name of picture and unite with other
    414414   \label{expKK}
    … …  
    423423\begin{figure}[htbp]
    424424 \centering
    425   \includegraphics*[width=70mm]{rev1/1.eps}
     425  \includegraphics*[width=70mm]{plots/15.eps}
    426426  \caption{$\Delta_{FWXM}$  for 1000 profiles with both methods.}%VH add  picture
    427427   \label{fwxm}
    … …  
    430430\begin{figure}[htbp]
    431431 \centering
    432   \includegraphics*[width=65mm]{rev4/d1.eps}\\
    433     \includegraphics*[width=65mm]{rev4/d2.eps}
     432  \includegraphics*[width=65mm]{plots/161.eps}\\
     433    \includegraphics*[width=65mm]{plots/162.eps}
    434434    \caption{Original and reconstructed profile and their difference for bad profile (top) and good profile (bottom).}
    435435   \label{mod}
    … …  
    442442\begin{figure}[htbp]
    443443 \centering
    444   \includegraphics*[width=70mm]{del24/chiL} \\
    445   \includegraphics*[width=70mm]{del24/FWL} \\
     444  \includegraphics*[width=70mm]{plots/171.eps} \\
     445  \includegraphics*[width=70mm]{plots/172.eps} \\
    446446%  \includegraphics*[width=75mm]{THPME088f10.eps}
    447447  \caption{Distribution of the $\chi^2$ in the case of a lorenzian distribution. }
    … …  
    460460\begin{figure}[htbp]
    461461 \centering
    462   \includegraphics*[width=70mm]{del24/noiseCHI.eps}\\
    463   \includegraphics*[width=70mm]{del24/noiseFW.eps}\\
     462  \includegraphics*[width=70mm]{plots/181.eps}\\
     463  \includegraphics*[width=70mm]{plots/182.eps}\\
    464464  \caption{Mean $\chi^2$ and $\Delta_{FWXM}$  as function of noise amplitude.}
    465465   \label{noise}
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