Final edits

This commit is contained in:
Arne van Iterson 2024-04-12 15:51:13 +02:00
parent 551549ccfb
commit 8dcf97332f
2 changed files with 11 additions and 5 deletions

Binary file not shown.

Before

Width:  |  Height:  |  Size: 29 KiB

After

Width:  |  Height:  |  Size: 8.8 KiB

View File

@ -68,6 +68,8 @@
The experiment called for the students to determine the ideal frequency at which to measure the crosstalk. We setup the function generator to sweep the signal between 1 kHz to 40 MHz, the maximum frequency of the function generator, and observed the crosstalk on the near and using the oscilloscope. We determined the frequency at which the crosstalk was the highest, which was around 20 MHz.
\newpage
\subsection{Equipment}
The following equipment and settings will be used during the experiment:
\begin{itemize}[beginpenalty=10000]
@ -120,12 +122,12 @@
Capacitive crosstalk is caused by the electric field of the signal conductor inducing a voltage on the interfered conductor. This electric field is generated by the presence of a voltage on the signal conductor. Therefore, when the signal conductor is terminated by a short terminator, the voltage on the signal conductor is practically zero, making the capacitive crosstalk minimal. When the signal conductor is not terminated, the crosstalk should be at its maximum. Capacitive crosstalk does not have a phase shift. \\
\textbf{Inductive crosstalk}\\
Inductive crosstalk is caused by the magnetic field of the signal conductor inducing a voltage on the interfered conductor. The magnetic field is generated by the current flowing through the signal conductor. When the signal conductor is terminated, the crosstalk should be at its maximum since the current is as high as it can be. When the signal conductor is not terminated, the crosstalk should be minimal. The magnetic field generates a current in the interfered conductor that is opposite to the signal conductor, creating a 180$\degree$ phase shift\\
Inductive crosstalk is caused by the magnetic field of the signal conductor inducing a voltage on the interfered conductor. The magnetic field is generated by the current flowing through the signal conductor. When the signal conductor is terminated through a short, the crosstalk should be at its maximum since the current is as high as it can be. When the signal conductor is not terminated, the crosstalk should be minimal. The magnetic field generates a current in the interfered conductor that is opposite to the signal conductor, creating a 180$\degree$ phase shift\\
When the signal conductor is terminated with a characteristic terminator, the resulting will be a combination of the capacitive and inductive crosstalk since the voltage is not shorted completely, creating a resistor divider, and there is some current flowing through the signal conductor; Causing both the electric and magnetic field to induce a voltage on the interfered conductor.
When the signal conductor is terminated with a characteristic terminator, or any non-shorting terminator for that matter, the resulting will be a combination of the capacitive and inductive crosstalk since the voltage is not shorted completely, creating a resistor divider, and there is some current flowing through the signal conductor; Causing both the electric and magnetic field to induce a voltage on the interfered conductor.
\section{Results}
This section will show the measurement results of the experiment. The results will be presented in the form of graphs which include peak-to-peak voltage, frequency and phase shift within the legend. In the next section, the results will be analysed and compared to the expected results.
This section will show the measurement results of the experiment. The results will be presented in the form of graphs which include peak-to-peak voltage, frequency and phase shift within the legend. Every termination method will include a measurement for both the far and near sides of the interfered conductor as per the determined methodology. In the next section, the results will be analysed and compared to the expected results.
\subsection{Measurements}
\subsubsection{Open termination}
@ -165,6 +167,8 @@
\label{fig:graph_char_50_far}
\end{figure}
\newpage
\textbf{230 Ohm terminator}
\begin{figure}[H]
\includegraphics[width=\linewidth]{./img/Graph - 230 Ohm - Near end.png}
@ -219,7 +223,7 @@
\begin{figure}[H]
\includegraphics[width=\linewidth]{./img/Spice - Capacative Simulation.png}
\caption{LTSpice Simulation, signal conductor(green) and interefered conductor(blue)}
\caption{LTSpice Simulation, signal conductor (pink) and interfered conductor (orange)}
\label{fig:simulation_capacitive}
\end{figure}
@ -252,7 +256,7 @@
\end{aligned}
\end{equation}
A simulation for inductive crosstalk was not done, since this was way more complicated than the capacative crosstalk. However, the method of solving was the same, thus the result must simular to the capacative crosstalk.
A simulation for inductive crosstalk was not performed, since this simulation is more involved compared to the simulation for capacitive crosstalk and well beyond our area of expertise. However, the method of solving the equation was the same, thus the result is likely to be similar to the capacitive crosstalk.
\subsubsection{Characteristic}
From the measurements, it becomes clear that the correct characteristic termination is, in fact, 230 $\Omega$. The 50 $\Omega$ terminator does dampen the crosstalk on the far end of the conductor (Figure \ref*{fig:graph_char_50_far}), while the 230 $\Omega$ terminator effectively eliminates it (Figure \ref*{fig:graph_char_230_far}).
@ -313,6 +317,8 @@
$0.13\ V$ is equal to the amplitude measured in Figure \ref{fig:graph_char_230_near}, concluding that $230 \Omega$ is the characterstic termination.
\section{Conclusion}
During this experiment, we were successfully measure and analyse the crosstalk between two conductors. Furthermore we were able to determine the mutual self-inductance and coupling capacitance of the setup and validate those results through simulation. Lastly, we were able to determine and validate the correct characteristic impedance of the setup.
In conclusion, crosstalk can be minimized by using the correct termination, but not eliminated completely.
\end{multicols}
\end{document}