add heaviside discret explanation

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Klagarge committed 2024-02-03 18:36:30 +01:00
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@@ -4,10 +4,19 @@ Tableau des transformées en Z
-----------
| Nr. | $F_k$ | $F(z)$ | $f(t)$ | $F(s)$ |
$$f[k] =\varepsilon[x]=\begin{cases}
1^{x} &\text{ si } x\geq 0 \\
0 &\text{ si } x<0
\end{cases} \qquad \forall x=k,k-n
$$
$\varepsilon$ : fonction de Heaviside en discret
----------
| Nr. | $f[k]$ | $F(z)$ | $f(t)$ | $F(s)$ |
|-----|-------------------|-----------------|-------------|--------|
| 1 | $\delta_{k}, 0^k$ | 1 | $\delta(t)$ | 1 |
| 2 | $1^k$ | $\frac{z}{z-1}$ | $u(t)$ | $\frac{1}{s-a}$ |
| 2 | $1^k$ | $\frac{z}{z-1}$ | $u(t)$ | $\frac{1}{s-a}$ |
![ztabelle01.png](ztabelle01.png)
![ztabelle02.png](ztabelle02.png)