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+121,26 @@ Quirin Ecker, k12310122 \\ \noindent \rule[0.8em]{\textwidth}{0.12mm}\\[-0.5em] %======================================================================================= -\begin{aufgabe} +\begin{aufgabe}{} \begin{enumerate} - \item add back in - \item add back in - \item add back in - \item add back in + \item figure: \\ + \includegraphics[width=0.95\textwidth]{fig/aufgabe1_a.png} + + \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 table: \begin{table}[h] @@ -146,16 +159,14 @@ Quirin Ecker, k12310122 \\ \label{tab:energy_power} \end{table} \end{enumerate} - \end{aufgabe} -\begin{aufgabe} +\begin{aufgabe}{} \begin{enumerate} \item $|x[n]| + |h[n]| - 1 = 5 + 4 - 1 = 8$ \item \begin{gather*} - A= \begin{bmatrix} 3 & 0 & 0 & 0\\ @@ -174,8 +185,7 @@ x= 3\\ 4\\ 1 -\end{bmatrix} - +\end{bmatrix} \\ Ax= \begin{bmatrix} 6\\ @@ -189,10 +199,9 @@ Ax= \end{bmatrix} \end{gather*} \end{enumerate} - \end{aufgabe} -\begin{aufgabe} +\begin{aufgabe}{} \begin{enumerate} \item $L_y = |x[n]| + |h[n]| - 1 = 50 + 3 - 1 = 52$ @@ -201,10 +210,9 @@ Ax= \item figure: \\ \includegraphics[width=0.95\textwidth]{fig/aufgabe3_cd.png} \end{enumerate} - \end{aufgabe} -\begin{aufgabe} +\begin{aufgabe}{} \begin{enumerate} \item (see assignment2\_4.m) @@ -212,11 +220,10 @@ Ax= \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. \end{enumerate} - \end{aufgabe} -\begin{aufgabe} +\begin{aufgabe}{} \begin{enumerate} \item (siehe assignment2\_5.m) @@ -226,10 +233,6 @@ Ax= \item original energy: 41343 \\ reverb energy: 2069.0506 \\ rir energy: $9.9997 \cdot 10^{3}$ \\ 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{aufgabe} \end{document} diff --git a/fig/aufgabe1_a.png b/fig/aufgabe1_a.png new file mode 100644 index 0000000000000000000000000000000000000000..0f560003258af379dddf84696cc5b775e0616446 GIT binary patch literal 48388 zcmd3NWn7eB+wFisDWQY{f`EXul1fWA3Je`eNO#u^3J6k43kV2EcQ+$QBi%8yboY>F z5C7-=z0Y&%!})ahGR!?Q``-7C>sr@ZYkz*NBz+f`92WwC+?AD)P=P>hIzS+pm)Mx# zic;`TTJUnyNLKtc#$5=;cXI(w@E*faMOq9}&_lTjfjoxDO1x5Y`@VsM+fghhE~5gF zw{gP#ME4GU|N2-$EA4WRDT2=4s&q>*iEUHqbGTr9&ZEwnQdekv$o=kg6>Up7XhD9c z<8F;Z!5c~D*io*K`daNx2G5EY0-mxz)1-K&UnaZU=nd(JhMO^j3sPwrW3Nlgh@I0! zJo|B$M*pCdgZI>({K9GB;`BHDebI$RU#T>a6X6R%#pJW8<(r_lkY7x{*Kec$@j(#f zqF+UEi_y;u`APWy^V?26eLe`}HDjd>vgERVXlSwZ0s}%d|9G3tkOaaVq>XriO1%Z4 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