added NTC-schematic.png

rewrote the first paragraph

temperature-measurement-error/AMS_T_error.tex

@@ -14,6 +14,7 @@
 \usepackage{lastpage}
 \usepackage{subfigure}
 \usepackage{float}
+\usepackage{wrapfig}
 \usepackage{multicol}
 \usepackage{amsmath, amssymb}
 
@@ -22,19 +23,24 @@
 
 \rhead{\includegraphics*[scale=0.01]{./bilder/FaSTTUBe_Logo_ohneAuto.png}}
 \rfoot{Page \thepage \hspace{1pt} of \pageref{LastPage}}
-
-\begin{document}
-
 \lhead{Car 313, 06.03.2025, Rev. 1}
 \chead{\large Temperature Measurement Error Calculation}
 
-Since the Look Up Table provided by Vishay is used for the calculation in the AMS Software, the following calculation is also based on it.
+\begin{document}
 
-As the characteristic curve is not linear, it is relatively trivial to find the absolute maximum measurement error, therefore, the maximum error at \SI{60}{\celsius} is calculated here.
+\begin{wrapfigure}{l}{0.3\textwidth}
+	\includegraphics[width=1\linewidth]{./bilder/NTC-schematic.png} 
+	\caption{NTC Voltage Divider and Filter}
+	\label{fig:NTC-schematic}
+\end{wrapfigure}
 
-Our Voltage measurement system is based on a NTC (NTCLE413E2103F102L from Vishay) and a 10k 0.1\% resistor (named $R_1$ here) froming a voltage divider, and the output voltage is then feed to an ADC after passing through a RC-filter.
+The following calculation is based on the Look-Up Table (LUT) provided by Vishay, which is used in the AMS software.
 
-To calculate the error, the highest possible measured voltage at \SI{60}{\celsius} is worked out here, since according to the design of our voltage divider, the lower the temperature, the higher the voltage. As shown in Fig. \ref{fig:vref2}, the supply voltage $V_{REF2}$ of the voltage divider can have a maximum value of \SI{3.006}{\volt}, while the total measurement error of the GPIO is $\pm$ \SI{2.8}{mV}. (Fig. \ref{fig:aux}) In addition, the maximum resistance from the NTC can be \SI{3086.8}{\ohm} according to the LUT (Tab. \ref{tab:lut}). the maximum possible voltage recorded is therefore:
+Since the characteristic curve of the NTC thermistor is nonlinear, determining the absolute maximum measurement error is not straightforward. Therefore, we will calculate the maximum error specifically at 60\si\celsius.
+
+Our voltage measurement system consists of an NTC thermistor (NTCLE413E2103F102L) and a 10k 0.1 resistor (denoted as R1) forming a voltage divider. The output voltage is then passed through an RC filter before being fed to an ADC.
+
+To estimate the error, we calculate the highest possible measured voltage at 60\si\celsius. According to the design of the voltage divider, the lower the temperature, the higher the output voltage. As shown in Fig. \ref{fig:vref2}, the supply voltage VREF2 for the voltage divider can reach a maximum value of 3.006V. Additionally, the total measurement error of the GPIO is ±2.8mV (as shown in Fig. \ref{fig:aux}). Furthermore, the maximum resistance of the NTC at 60\si\celsius, according to the LUT (Tab. \ref{tab:lut}), is 3086.8\si\ohm. The maximum possible voltage recorded is therefore:
 
 \begin{align}
 	V_{worstcase} &= V_{REF2} \cdot \frac{R_{NTC}}{R_{NTC}+R_1} + V_{err}  \\
@@ -106,8 +112,10 @@ since the LUT is used to match the voltage to the temperature, and the nominal r
 \renewcommand\refname{Reference}
 \begin{thebibliography}{00}
 	
-	\bibitem{datasheet} \textit{Data Sheet ADBMS6830B Rev.0 page 5}. analog.com, 01.2024.
-	
+	\bibitem{ADBMS6830B datasheet AUX} \textit{Data Sheet ADBMS6830B Rev.0 page 5}. analog.com, 01.2024
+	\bibitem{ADBMS6830B datasheet VREF} \textit{Data Sheet ADBMS6830B Rev.0 page 5}. analog.com, 01.2024
+	\bibitem{vishay website} \textit{NTC RT Calculation Tool}. www.vishay.com, 03.2025
+
 \end{thebibliography}
 
 \end{document}