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\renewcommand{\listtablename}{Zoznam tabuliek}
\renewcommand{\listfigurename}{Zoznam grafov}
\renewcommand{\contentsname}{Obsah}
\newpage
\tableofcontents
\listoftables
\listoffigures
\pagebreak
% \section{Zadanie}

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@ -8,27 +8,135 @@ Kód tohto protokolu je dostupný na nasledujúcom odkaze:
\url{https://git.dotya.ml/wanderer/ak9im-proto1}.
\subsection{Vygenerovanie signálu}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/u_input_plot}
\caption{Náhodne vygenerovaný signál}
\label{signalorig}
\end{figure}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/y_input_plot}
\caption{Náhodne vygenerovaný signál s filtrom}
\label{signalfiltered}
\end{figure}
\newpage
\subsection{Histogram}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/u_hist}
\caption{Histogram u}
\label{histu}
\end{figure}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/y_hist}
\caption{Histogram y}
\label{histy}
\end{figure}
\newpage
\subsection{Distribučná funkcia}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/u_dist}
\caption{Distribučná funkcia u}
\label{distfuncu}
\end{figure}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/y_dist}
\caption{Distribučná funkcia y}
\label{distfuncy}
\end{figure}
\newpage
\subsection{Štatistické charakteristiky\ 1.\ a\ 2.\ rádu}
Boli vypočítané štatistické charakteristiky prvého a druhého rádu, ktorými sú:
\begin{itemize}
\item stredná hodnota
\item rozptyl
\item koeficient korelácie
\item kovariančná matica (viď~\ref{covmatrix})
\item autokorelačná funkcia pre u, y
\item vzájomne korelačná funkcia
\item autokovariačná funkcia pre u, y
\item vzájomná kovariačná funkcia
\end{itemize}
\begin{table}[!hbt]
\centering
\begin{tabular}{r|cc}
& \textbf{u} & \textbf{y} \\
\hline
\textbf{u} & 2.889406e-02 & 1.584866e+09 \\
\textbf{y} & 1.584866e+09 & 1.948590e+23 \\
\end{tabular}
\label{covmatrix}
\caption{Kovariačná matica}
\end{table}
\newpage
\subsection{Korelácia}
\subsubsection{Autokorelačná funkcia u}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/u_autocorellation}
\caption{Autokorelačná funkcia u}
\label{autocorrelationu}
\end{figure}
\subsubsection{Autokorelačná funkcia y}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/y_autocorellation}
\caption{Autokorelačná funkcia y}
\label{autocorrelationy}
\end{figure}
\newpage
\subsubsection{Vzájomne korelačná funkcia}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/mutual_corellation_uy}
\caption{Vzájomne korelačná funkcia}
\label{mutualcorrelation}
\end{figure}
\newpage
\subsection{Kovariancia}
\subsubsection{Autokovariačná funkcia u}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/u_autocovariance}
\caption{Autokovariačná funkcia u}
\label{autocovarianceu}
\end{figure}
\subsubsection{Autokovariačná funkcia y}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/y_autocovariance}
\caption{Autokovariačná funkcia y}
\label{autocovariancey}
\end{figure}
\newpage
\subsubsection{Vzájomne kovariačná funkcia}
\begin{figure}[ht]
\includegraphics[width=.75\textwidth]{res/mutual_covariance_uy}
\caption{Vzájomne kovariačná funkcia}
\label{mutcovariance}
\end{figure}
\newpage
\subsection{Štatistické charakteristiky}
\begin{table}[!hbt]
\centering
\begin{tabular}{r|cc}
& \textbf{u} & \textbf{y} \\
\hline
\textbf{stredná hodnota} & 0.13739797971503992 & 20217121352.41238 \\
\textbf{rozptyl} & 0.028836383482803592 & 1.9447005240730458e+23 \\
\textbf{koeficient kovariancie} & \multicolumn{2}{c}{0.021121664240700538} \\
\end{tabular}
\label{stats}
\caption{Súhrn štatistickúch charakteristík}
\end{table}