From 85cf4d28daa4931612383db5ff4ee102b5977887 Mon Sep 17 00:00:00 2001
From: Klagarge <remi@heredero.ch>
Date: Fri, 2 Feb 2024 20:45:54 +0100
Subject: [PATCH] update pictures in signaux et echant.

---
 infotro/Eln/SignauxEtEchantillonnage.md       |   23 +-
 .../Eln/medias/fourier_cerlce_unitaire.png    |  Bin 10155 -> 0 bytes
 .../Eln/medias/fourier_cerlce_unitaire.svg    |    4 +
 ...reponse_impulsionelle-continue_discret.png |  Bin 39919 -> 114254 bytes
 infotro/Eln/medias/schema_bloc_fir.png        |  Bin 20419 -> 0 bytes
 infotro/Eln/medias/schema_bloc_fir.svg        | 1139 +++++++++--------
 infotro/Eln/transforme_fourier.png            |  Bin 74753 -> 0 bytes
 infotro/Eln/transfrom_fourrier_discret.png    |  Bin 32316 -> 0 bytes
 8 files changed, 601 insertions(+), 565 deletions(-)
 delete mode 100644 infotro/Eln/medias/fourier_cerlce_unitaire.png
 create mode 100644 infotro/Eln/medias/fourier_cerlce_unitaire.svg
 delete mode 100644 infotro/Eln/medias/schema_bloc_fir.png
 delete mode 100644 infotro/Eln/transforme_fourier.png
 delete mode 100644 infotro/Eln/transfrom_fourrier_discret.png

diff --git a/infotro/Eln/SignauxEtEchantillonnage.md b/infotro/Eln/SignauxEtEchantillonnage.md
index 2105a5b..d0d3a74 100644
--- a/infotro/Eln/SignauxEtEchantillonnage.md
+++ b/infotro/Eln/SignauxEtEchantillonnage.md
@@ -15,7 +15,19 @@ Elle permet d'exprimer un signal dans le temps en domaine fréquentiel.
 
 La transformée de Fourier est définie par la formule suivante :
 
-![Transformée de fourier](transforme_fourier.png)
+Soit $f(x)$ une fonction non périodique définie sur $\mathbb{R}$.
+$$\begin{align}
+\text{Transformée de Fourier de }f(x) &: \qquad \widehat{f}(\omega) = \int^{\infty}_{-\infty}f(x)e^{-\mathbf{i}\omega x}dx \qquad (\omega\in \mathbb{R})\\
+\text{Intégrale de Fourier de } f(x) &: \qquad \frac{1}{2\pi}\int_{-\infty}^{\infty}  \widehat{f}(\omega) e^{\mathbf{i}x\omega}\, d\omega \qquad(x \in\mathbb{R}).
+\end{align}$$
+**Théorème** : Si $\int_{-\infty}^{\infty} |f(x) \, dx < \infty$ et si $f$ est une fonction de variation bornée sur tout $\mathbb{R}$, alors
+$$
+\frac{1}{2\pi}\int_{-\infty}^{\infty} \widehat{f}(\omega)e^{\mathbf{i}x\omega} \, d\omega = \begin{cases}
+f(x) &\text{si }f \text{ est continue au point }x \\
+\text{milieu du saut de } f(x) &\text{si }f \text{ a un saut en }x
+\end{cases}
+$$
+
 
 ## Transformée de Fourier discrète
 
@@ -23,10 +35,13 @@ La transformée de Fourier discrète (DFT - Discret Fourier Transform) est une t
 d'un signal discret.
 Elle est l'équivalent discret de la transformée de Fourier, qui est utilisée pour analyser les signaux continus.
 
-![img.png](transfrom_fourrier_discret.png)
+On pose: $\Omega := \omega \cdot  T_{s}$
+La transformation de Fourier de $x[k]$ est donnée par la formule suivante :
+$$\mathcal{F}\{x[k]\} = X(\Omega) \quad := \quad\sum^{+\infty}_{k=-\infty}x[k]\cdot e^{-jk\Omega}= \mathcal{F}\{x_{s}(t)\}$$
+
 
 $$\mathcal{F\{x[k]\} = \mathcal{Z}\{x[k]\}}|_{z=e^{j\Omega}}$$
-![Fourier - cercle unitaire](medias/fourier_cerlce_unitaire.png)
+![fourier_cerlce_unitaire.svg](medias/fourier_cerlce_unitaire.svg)
 $$x[k]=\frac{1}{2\pi} \int^{+\pi}_{-\pi}X(\Omega)e^{jk\Omega} d\Omega$$
 
 
@@ -86,7 +101,7 @@ y[k] &= \sum^{N}_{n=0}x[k-n]\cdot h[n] \\
 \end{align}$$
 $N$ : Limite de notre réponse impulsionnelle.
 
-![schema_bloc_fir.png](medias/schema_bloc_fir.png ':size=75%')
+![schema_bloc_fir.png](medias/schema_bloc_fir.svg ':size=75%')
 
 En faisant la somme, la réponse impulsionnelle se transforme en facteurs $(b_0, b_1, b_2, ..., b_n)$.
 On peut retrouver la réponse impulsionnelle à partir de ces facteurs.
diff --git a/infotro/Eln/medias/fourier_cerlce_unitaire.png b/infotro/Eln/medias/fourier_cerlce_unitaire.png
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