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Commit e02b720e authored by nats's avatar nats
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reaching end of cal port 1

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......@@ -4,4 +4,5 @@
\@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}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Calibration SOL}{3}}
\@writefile{toc}{\contentsline {paragraph}{}{3}}
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entering extended mode
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......@@ -445,30 +445,35 @@ File: umsb.fd 2013/01/14 v3.01 AMS symbols B
\tf@toc=\write3
\openout3 = `vna_cal.toc'.
[2] [1] [2] (./vna_cal.aux) )
[2] [1]
Underfull \hbox (badness 10000) in paragraph at lines 65--69
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[2] [3] (./vna_cal.aux) )
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......@@ -55,18 +55,24 @@
\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.
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. En resolvant l'équation précédente pour $\Gamma_l$ on peut trouver les inconnues regroupables en termes. Définissons $\Gamma_m$ comme la mesure du rapport $\frac{b1}{a1}$
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.(E_{11}.E_{22}-E_{12}.E_{21})-E_{11}}{E_{22}.\Gamma_l-1}\\
\Gamma_l&=\frac{\Gamma_m-E_{11}}{(E_{11}.E_{22}-E_{12}.E_{21})-E_{22}.\Gamma_m}
\end{align*}
$\Gamma_l$ est donc exprimable en fonction de 3 termes:\\
- $E_{11}$\\
- $E_{22}$\\
- $(E_{11}.E_{22}-E_{12}.E_{21})$\\
Définissons donc $\Delta = (E_{11}.E_{22}-E_{12}.E_{21})$.
\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.
\newpage
\subsection{Calibration SOL}
......
......@@ -3,4 +3,5 @@
\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}
\contentsline {subsection}{\numberline {2.3}Calibration SOL}{3}
\contentsline {paragraph}{}{3}
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