add batch 1
@ -46,7 +46,11 @@
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\renewcommand{\listtablename}{Zoznam tabuliek}
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\renewcommand{\listfigurename}{Zoznam grafov}
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\renewcommand{\contentsname}{Obsah}
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\newpage
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\tableofcontents
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\listoftables
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\listoffigures
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\pagebreak
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% \section{Zadanie}
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res/mutual_corellation_uy.jpg
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res/mutual_covariance_uy.jpg
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res/u_autocorellation.jpg
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res/u_autocovariance.jpg
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res/u_dist.jpg
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res/u_input_plot.jpg
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res/y_autocorellation.jpg
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res/y_autocovariance.jpg
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res/y_dist.jpg
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108
solution.tex
@ -8,27 +8,135 @@ Kód tohto protokolu je dostupný na nasledujúcom odkaze:
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\url{https://git.dotya.ml/wanderer/ak9im-proto1}.
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\subsection{Vygenerovanie signálu}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/u_input_plot}
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\caption{Náhodne vygenerovaný signál}
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\label{signalorig}
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\end{figure}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/y_input_plot}
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\caption{Náhodne vygenerovaný signál s filtrom}
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\label{signalfiltered}
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\end{figure}
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\newpage
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\subsection{Histogram}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/u_hist}
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\caption{Histogram u}
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\label{histu}
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\end{figure}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/y_hist}
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\caption{Histogram y}
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\label{histy}
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\end{figure}
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\newpage
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\subsection{Distribučná funkcia}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/u_dist}
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\caption{Distribučná funkcia u}
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\label{distfuncu}
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\end{figure}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/y_dist}
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\caption{Distribučná funkcia y}
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\label{distfuncy}
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\end{figure}
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\newpage
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\subsection{Štatistické charakteristiky\ 1.\ a\ 2.\ rádu}
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Boli vypočítané štatistické charakteristiky prvého a druhého rádu, ktorými sú:
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\begin{itemize}
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\item stredná hodnota
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\item rozptyl
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\item koeficient korelácie
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\item kovariančná matica (viď~\ref{covmatrix})
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\item autokorelačná funkcia pre u, y
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\item vzájomne korelačná funkcia
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\item autokovariačná funkcia pre u, y
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\item vzájomná kovariačná funkcia
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\end{itemize}
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\begin{table}[!hbt]
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\centering
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\begin{tabular}{r|cc}
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& \textbf{u} & \textbf{y} \\
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\hline
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\textbf{u} & 2.889406e-02 & 1.584866e+09 \\
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\textbf{y} & 1.584866e+09 & 1.948590e+23 \\
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\end{tabular}
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\label{covmatrix}
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\caption{Kovariačná matica}
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\end{table}
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\newpage
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\subsection{Korelácia}
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\subsubsection{Autokorelačná funkcia u}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/u_autocorellation}
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\caption{Autokorelačná funkcia u}
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\label{autocorrelationu}
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\end{figure}
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\subsubsection{Autokorelačná funkcia y}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/y_autocorellation}
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\caption{Autokorelačná funkcia y}
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\label{autocorrelationy}
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\end{figure}
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\newpage
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\subsubsection{Vzájomne korelačná funkcia}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/mutual_corellation_uy}
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\caption{Vzájomne korelačná funkcia}
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\label{mutualcorrelation}
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\end{figure}
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\newpage
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\subsection{Kovariancia}
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\subsubsection{Autokovariačná funkcia u}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/u_autocovariance}
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\caption{Autokovariačná funkcia u}
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\label{autocovarianceu}
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\end{figure}
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\subsubsection{Autokovariačná funkcia y}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/y_autocovariance}
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\caption{Autokovariačná funkcia y}
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\label{autocovariancey}
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\end{figure}
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\newpage
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\subsubsection{Vzájomne kovariačná funkcia}
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\begin{figure}[ht]
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\includegraphics[width=.75\textwidth]{res/mutual_covariance_uy}
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\caption{Vzájomne kovariačná funkcia}
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\label{mutcovariance}
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\end{figure}
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\newpage
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\subsection{Štatistické charakteristiky}
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\begin{table}[!hbt]
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\centering
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\begin{tabular}{r|cc}
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& \textbf{u} & \textbf{y} \\
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\hline
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\textbf{stredná hodnota} & 0.13739797971503992 & 20217121352.41238 \\
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\textbf{rozptyl} & 0.028836383482803592 & 1.9447005240730458e+23 \\
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\textbf{koeficient kovariancie} & \multicolumn{2}{c}{0.021121664240700538} \\
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\end{tabular}
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\label{stats}
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\caption{Súhrn štatistickúch charakteristík}
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\end{table}
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