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Started code for DSP final project

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Aidan Sharpe
2024-04-25 18:38:09 -04:00
parent 824a46b1fd
commit 50a5e57e18
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6th-Semester-Spring-2024/DSP/Labs/Lab-04/lab-4.aux
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6th-Semester-Spring-2024/DSP/Labs/Lab-04/lab-4.log
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6th-Semester-Spring-2024/DSP/Labs/Lab-04/lab-4.tex
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@ -49,14 +49,14 @@ where $r$ is the common ratio between adjacent terms. For the $N$-point DFT of $
\label{eqn:DFT_N_point}
\end{equation}
The $N$-point DFT of $x[n]$, where $N=8$ is seen in figure \ref{fig:N_point_DFT}. It only has a non-zero value for $k={N\over2}=4$. This is the case for all even-number-point DFTs. Therefore, only odd-number-point DFTs should be used.
\begin{figure}[h]
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{N8_point_DFT.png}
\caption{The $N$-point DFT of $x[n]$, where $N=8$}
\label{fig:N_point_DFT}
\end{figure}
For example, the 9-point DFT of $x[n]$, where $N=8$ is seen in figure \ref{fig:9_point_DFT}. While equation \ref{eqn:DFT_N_point} cannot be used because there are a different number of samples for the DFT and the input signal, the overall DFT is more useful than the 8-point DFT.
\begin{figure}[h]
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{Q9_point_DFT.png}
\caption{The 9-point DFT of $x[n]$, where $N=8$}