semester06-signal_processing/assignment02
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

added missing parts of the number one

Browse Source
This commit is contained in:
quirinecker
2026-05-10 20:18:05 +02:00
parent 99b68b10eb
commit 58ea07edd2
3 changed files with 23 additions and 20 deletions
Download Patch File Download Diff File Expand all files Collapse all files

BIN
Assignment1_211.pdf
View File

Binary file not shown.

43
Assignment1_211.tex
View File

@@ -121,13 +121,26 @@ Quirin Ecker, k12310122 \\
\noindent \rule[0.8em]{\textwidth}{0.12mm}\\[-0.5em] \noindent \rule[0.8em]{\textwidth}{0.12mm}\\[-0.5em]
%======================================================================================= %=======================================================================================
\begin{aufgabe} \begin{aufgabe}{}
\begin{enumerate} \begin{enumerate}
\item add back in \item figure: \\
\item add back in \includegraphics[width=0.95\textwidth]{fig/aufgabe1_a.png}
\item add back in
\item add back in \item
\begin{gather*}
\Omega_3 = 2 \pi \frac{3.5}{64} \\
\Omega_4 = \frac{9}{64}
\end{gather*}
\item
\begin{gather*}
\frac{\Omega_3}{2 \pi} = \frac{3.5}{64} = \frac{7}{128} \\
N_{0,3} = 128 \\
\frac{\Omega_4}{2 \pi} = \frac{9}{64 \cdot 2 \pi} = \frac{9}{128 \pi} \\
\implies \text{Irational because of $\pi$} \\
\implies \text{Not periodic} \\
\end{gather*}
\item (see assignment2\_1.m)
\item (see assignment2\_1.m) \item (see assignment2\_1.m)
\item table: \item table:
\begin{table}[h] \begin{table}[h]
@@ -146,16 +159,14 @@ Quirin Ecker, k12310122 \\
\label{tab:energy_power} \label{tab:energy_power}
\end{table} \end{table}
\end{enumerate} \end{enumerate}
\end{aufgabe} \end{aufgabe}
\begin{aufgabe} \begin{aufgabe}{}
\begin{enumerate} \begin{enumerate}
\item $|x[n]| + |h[n]| - 1 = 5 + 4 - 1 = 8$ \item $|x[n]| + |h[n]| - 1 = 5 + 4 - 1 = 8$
\item \item
\begin{gather*} \begin{gather*}
A= A=
\begin{bmatrix} \begin{bmatrix}
3 & 0 & 0 & 0\\ 3 & 0 & 0 & 0\\
@@ -174,8 +185,7 @@ x=
3\\ 3\\
4\\ 4\\
1 1
\end{bmatrix} \end{bmatrix} \\
Ax= Ax=
\begin{bmatrix} \begin{bmatrix}
6\\ 6\\
@@ -189,10 +199,9 @@ Ax=
\end{bmatrix} \end{bmatrix}
\end{gather*} \end{gather*}
\end{enumerate} \end{enumerate}
\end{aufgabe} \end{aufgabe}
\begin{aufgabe} \begin{aufgabe}{}
\begin{enumerate} \begin{enumerate}
\item $L_y = |x[n]| + |h[n]| - 1 = 50 + 3 - 1 = 52$ \item $L_y = |x[n]| + |h[n]| - 1 = 50 + 3 - 1 = 52$
@@ -201,10 +210,9 @@ Ax=
\item figure: \\ \item figure: \\
\includegraphics[width=0.95\textwidth]{fig/aufgabe3_cd.png} \includegraphics[width=0.95\textwidth]{fig/aufgabe3_cd.png}
\end{enumerate} \end{enumerate}
\end{aufgabe} \end{aufgabe}
\begin{aufgabe} \begin{aufgabe}{}
\begin{enumerate} \begin{enumerate}
\item (see assignment2\_4.m) \item (see assignment2\_4.m)
@@ -212,11 +220,10 @@ Ax=
\includegraphics[width=0.95\textwidth]{fig/aufgabe4_b.png} \includegraphics[width=0.95\textwidth]{fig/aufgabe4_b.png}
\item The magnitued seems to be repeating and the phase response seems to be mirrored accross the x and y axis. \item The magnitued seems to be repeating and the phase response seems to be mirrored accross the x and y axis.
\end{enumerate} \end{enumerate}
\end{aufgabe} \end{aufgabe}
\begin{aufgabe} \begin{aufgabe}{}
\begin{enumerate} \begin{enumerate}
\item (siehe assignment2\_5.m) \item (siehe assignment2\_5.m)
@@ -226,10 +233,6 @@ Ax=
\item original energy: 41343 \\ reverb energy: 2069.0506 \\ rir energy: $9.9997 \cdot 10^{3}$ \\ \item original energy: 41343 \\ reverb energy: 2069.0506 \\ rir energy: $9.9997 \cdot 10^{3}$ \\
explanation: The rir energy is less than one which would explain why the outcoming signal is smaller than the original, because convulution scales proportionally. explanation: The rir energy is less than one which would explain why the outcoming signal is smaller than the original, because convulution scales proportionally.
\end{enumerate} \end{enumerate}
\end{aufgabe} \end{aufgabe}
\end{document} \end{document}

BIN
fig/aufgabe1_a.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 47 KiB