diff --git a/infotro/Eln/Filtres.md b/infotro/Eln/Filtres.md index 6a4c604..b8bb5ef 100644 --- a/infotro/Eln/Filtres.md +++ b/infotro/Eln/Filtres.md @@ -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)