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Commit 85363c8f authored by nats's avatar nats
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......@@ -3,4 +3,5 @@
\@writefile{toc}{\contentsline {paragraph}{}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Calibration 1 port}{2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Param\IeC {\`e}tres S}{2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Mesures}{2}}
\@writefile{toc}{\contentsline {paragraph}{}{2}}
This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2019.9.4) 17 SEP 2019 18:16
This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.31) 19 SEP 2019 00:29
entering extended mode
restricted \write18 enabled.
%&-line parsing enabled.
......@@ -448,12 +448,12 @@ File: umsb.fd 2013/01/14 v3.01 AMS symbols B
[2] [1] [2] (./vna_cal.aux) )
Here is how much of TeX's memory you used:
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er-t1.enc}</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.
pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></u
......@@ -465,7 +465,7 @@ r/sfbx1200.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx1440.pfb></usr
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Output written on vna_cal.pdf (4 pages, 124000 bytes).
Output written on vna_cal.pdf (4 pages, 126685 bytes).
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......@@ -51,9 +51,25 @@
\begin{align*}
b2&=-\frac{(E_{21}.a1)}{E_{22}.\Gamma_l-1}\\
b1&=\frac{a1.(E_{11}.E_{22}.\Gamma_l-E_{12}.E_{21}.\Gamma_l-E_{11})}{E_{22}.\Gamma_l-1}
b1&=\frac{a1.(E_{11}.E_{22}.\Gamma_l-E_{12}.E_{21}.\Gamma_l-E_{11})}{E_{22}.\Gamma_l-1}\\
\frac{b1}{a1}&=\frac{\Gamma_l.(E_{11}.E_{22}-E_{12}.E_{21})-E_{11}}{E_{22}.\Gamma_l-1}
\end{align*}
Dans ce cas de figure la caracterisation complete de la matrice d'erreur n'est pas importante, ce qui compte c'est de trouver des coefficients de compensation, on peut donc grouper des inconnues de manière à obtenir 3 inconnues.
Définissons $\Gamma_m$ comme la mesure du rapport $\frac{b1}{a1}$ et $\Delta = (E_{11}.E_{22}-E_{12}.E_{21})$ (justifier ca).
On a donc:
\begin{align*}
\Gamma_m&=\frac{\Gamma_l.\Delta-E_{11}}{E_{22}.\Gamma_l-1}
\end{align*}
\subsection{Mesures}
Le système est donc maintenant dépendant de 3 variables et nous pouvons réaliser trois mesures.
\subsection{Calibration SOL}
\paragraph{}
......
......@@ -2,4 +2,5 @@
\contentsline {paragraph}{}{1}
\contentsline {section}{\numberline {2}Calibration 1 port}{2}
\contentsline {subsection}{\numberline {2.1}Param\IeC {\`e}tres S}{2}
\contentsline {subsection}{\numberline {2.2}Mesures}{2}
\contentsline {paragraph}{}{2}
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