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Klagarge committed 2024-02-04 19:09:45 +01:00
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@@ -96,15 +96,15 @@ $$F(s)=\frac{Y(s)}{U(s)}=\frac{d_{0}+d_{1}s+d_{2}s^{2}}{c_{0}+c_{1}s+c_{2}s^{2}}
$$\begin{gather}
C = c_{0}+\frac{2c_{1}}{T_{s}}+\frac{4c_{2}}{T_{s}^{2}} \\
\\
a_{1} = \frac{2\left( c_{0}-\frac{4c_{2}}{T_{s^{2}}} \right)}{C}
a_{1} = \frac{2\left( c_{0}-\frac{4c_{2}}{T_{s}^{2}} \right)}{C}
\qquad \qquad
a_{2} = \frac{ c_{0}-\frac{2c_{1}}{T_{s}}+\frac{4c_{2}}{T_{s^{2}}} }{C}
a_{2} = \frac{ c_{0}-\frac{2c_{1}}{T_{s}}+\frac{4c_{2}}{T_{s}^{2}} }{C}
\qquad \qquad
b_{0} = \frac{d_{0}+\frac{2d_{1}}{T_{s}}+\frac{4d_{2}}{T_{s}^{2}}}{C} \\
\\
b_{1} = \frac{2\left( d_{0}-\frac{4d_{2}}{T_{s^{2}}} \right)}{C}
b_{1} = \frac{2\left( d_{0}-\frac{4d_{2}}{T_{s}^{2}} \right)}{C}
\qquad \qquad
b_{2} = \frac{d_{0}-\frac{2d_{1}}{T_{s}}+\frac{4d_{2}}{T_{s^{2}}}}{C}
b_{2} = \frac{d_{0}-\frac{2d_{1}}{T_{s}}+\frac{4d_{2}}{T_{s}^{2}}}{C}
\end{gather}$$
## Filtre numérique non-récursif (FIR)