Summary: ADCs

\[ \begin{gathered} \text{Zahl (number)} = \frac{U_{\mathrm{Ein,ADC}}}{U_{\mathrm{Ref}}} \cdot (2^n - 1) \\[6pt] \text{Transfer function: } H_{\mathrm{ADC}} = \frac{\text{Zahl}}{U_{\mathrm{Ein,ADC}}} = \frac{2^n - 1}{U_{\mathrm{Ref}}} \\[6pt] \text{Input voltage range: } U_{\mathrm{Ein,ADC}} = [0\,\mathrm{V} \ldots U_{\mathrm{Ref}}] \\[6pt] \text{Smallest detectable change in voltage } \Delta U = \frac{U_{\mathrm{Ref}}}{2^n - 1} \\[6pt] f_{\mathrm{Abtast}} = \frac{1}{T_{\mathrm{Abtast}}} \\[6pt] T_{\mathrm{Abtast}} = \frac{1}{f_{\mathrm{Abtast}}} \\[6pt] \text{Minimum sampling frequency in theory: } f_{\mathrm{Abtast}} > 2 \cdot f_{\mathrm{Signal,Max}} \\[6pt] \text{Minimum sampling frequency in practice: } f_{\mathrm{Abtast}} \ge 10 \cdot f_{\mathrm{Signal,Max}} \end{gathered} \]