From 13fee60e91caeae41fef7130cb3722ae69030e48 Mon Sep 17 00:00:00 2001 From: surtur Date: Sun, 13 Nov 2022 21:20:59 +0100 Subject: [PATCH] initial commit --- .envrc | 1 + .gitignore | 4 + .latexmkrc | 2 + LICENSE | 121 ++++++++++++++++++++ Makefile | 20 ++++ README.md | 4 + flake.lock | 26 +++++ flake.nix | 172 ++++++++++++++++++++++++++++ meta.sty | 9 ++ proto2.tex | 63 +++++++++++ res/autocorrelation_u.jpg | Bin 0 -> 19912 bytes res/autocorrelation_y.jpg | Bin 0 -> 19444 bytes res/model.png | Bin 0 -> 67648 bytes res/mutual_correlation_uy.jpg | Bin 0 -> 23679 bytes res/mutual_correlation_yu.jpg | Bin 0 -> 23598 bytes res/samplecount.png | Bin 0 -> 22945 bytes res/signal_u.jpg | Bin 0 -> 39221 bytes res/signal_y.jpg | Bin 0 -> 24608 bytes res/step_response.png | Bin 0 -> 18564 bytes solution.tex | 203 ++++++++++++++++++++++++++++++++++ task.tex | 1 + 21 files changed, 626 insertions(+) create mode 100644 .envrc create mode 100644 .gitignore create mode 100644 .latexmkrc create mode 100644 LICENSE create mode 100644 Makefile create mode 100644 README.md create mode 100644 flake.lock create mode 100644 flake.nix create mode 100644 meta.sty create mode 100644 proto2.tex create mode 100644 res/autocorrelation_u.jpg create mode 100644 res/autocorrelation_y.jpg create mode 100644 res/model.png create mode 100644 res/mutual_correlation_uy.jpg create mode 100644 res/mutual_correlation_yu.jpg create mode 100644 res/samplecount.png create mode 100644 res/signal_u.jpg create mode 100644 res/signal_y.jpg create mode 100644 res/step_response.png create mode 100644 solution.tex create mode 100644 task.tex diff --git a/.envrc b/.envrc new file mode 100644 index 0000000..3550a30 --- /dev/null +++ b/.envrc @@ -0,0 +1 @@ +use flake diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..c55f864 --- /dev/null +++ b/.gitignore @@ -0,0 +1,4 @@ +.direnv +.latexmkout +result +*.pdf diff --git a/.latexmkrc b/.latexmkrc new file mode 100644 index 0000000..494f4e5 --- /dev/null +++ b/.latexmkrc @@ -0,0 +1,2 @@ +# https://mg.readthedocs.io/latexmk.html#configuration-files +$pdf_previewer = 'zathura'; diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..2442feb --- /dev/null +++ b/LICENSE @@ -0,0 +1,121 @@ +Creative Commons Legal Code + +CC0 1.0 Universal + + CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE + LEGAL SERVICES. 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@@ +{ + "nodes": { + "nixpkgs": { + "locked": { + "lastModified": 1668354518, + "narHash": "sha256-7A2k/Qmh1j475TRtDHJZLeaQB4BzzRTGl5ibjJaTIaY=", + "owner": "nixos", + "repo": "nixpkgs", + "rev": "74b5398c530d09ee5e4e66e2b6383c2c50c904a6", + "type": "github" + }, + "original": { + "owner": "nixos", + "repo": "nixpkgs", + "type": "github" + } + }, + "root": { + "inputs": { + "nixpkgs": "nixpkgs" + } + } + }, + "root": "root", + "version": 7 +} diff --git a/flake.nix b/flake.nix new file mode 100644 index 0000000..e29e998 --- /dev/null +++ b/flake.nix @@ -0,0 +1,172 @@ +{ + description = "AK9MI proto 2"; + + inputs = { + nixpkgs.url = "github:nixos/nixpkgs"; + }; + + outputs = { + self, + nixpkgs, + ... + }: let + supportedSystems = ["x86_64-linux" "x86_64-darwin"]; + forAllSystems = nixpkgs.lib.genAttrs supportedSystems; + + courseCode = "ak9im"; + documentName = "proto2"; + pname = courseCode + "_" + documentName; + version = "0.0.1"; + + pkgs = forAllSystems (system: nixpkgs.legacyPackages.${system}); + nixpkgsFor = forAllSystems ( + system: + import nixpkgs { + inherit system; + overlays = [self.overlays.default]; + } + ); + in rec { + formatter = forAllSystems ( + system: + nixpkgsFor.${system}.alejandra + ); + + overlays.default = with pkgs; + final: prev: { + watcher = with final; + writeScriptBin "watch" '' + out=".latexmkout" + mkdir "$out" + latexmk \ + -pvc \ + -outdir="$out" \ + -pdf \ + -pdflatex="pdflatex -synctex=1 -file-line-error -interaction=nonstopmode" \ + -use-make ${documentName}.tex + rm -r "$out" + ''; + + buildLatex = with final; + with pkgs; + stdenv.mkDerivation { + inherit pname version; + + src = lib.cleanSource ./.; + + nativeBuildInputs = with pkgs; [ + (texlive.combine { + inherit + (texlive) + scheme-medium + authblk + multirow + hyperref + blindtext + etoolbox + topiclongtable + ; + }) + gnumake + ]; + + buildPhase = '' + latexmk \ + -pdf \ + -pdflatex="pdflatex -file-line-error -interaction=nonstopmode" \ + -use-make ${documentName}.tex + ''; + installPhase = '' + install -Dm444 -t $out ${documentName}.pdf + ''; + }; + }; + + packages = forAllSystems (system: { + inherit (nixpkgsFor.${system}) watcher buildLatex; + + default = nixpkgsFor.${system}.watcher; + }); + + defaultPackage = + forAllSystems (system: self.packages."${system}".buildLatex); + + apps = forAllSystems (system: rec { + watch = { + type = "app"; + program = "${self.packages."${system}".watcher}/bin/watch"; + }; + buildLatex = { + type = "app"; + program = "${self.packages."${system}".buildLatex}"; + }; + # default = buildLatex; + default = watch; + }); + + devShells = with pkgs; + forAllSystems (system: let + pkgs = import nixpkgs { + inherit system; + overlays = [self.overlays.default]; + }; + + nativeBuildInputs = with pkgs; [ + (texlive.combine { + inherit + (texlive) + scheme-medium + authblk + multirow + hyperref + blindtext + etoolbox + topiclongtable + ; + }) + gnumake + ]; + + watcher = pkgs.writeShellScriptBin "watcher" '' + out=".latexmkout" + mkdir "$out" + latexmk \ + -pvc \ + -outdir="$out" \ + -pdf \ + -pdflatex="pdflatex -synctex=1 -file-line-error -interaction=nonstopmode" \ + -use-make ${documentName}.tex + rm -r "$out" + ''; + in { + default = nixpkgsFor.${system}.mkShell { + name = "${pname}-" + version; + shellHook = '' + echo " -- in ${pname} dev shell..." + ''; + + nativeBuildInputs = with pkgs; [ + (texlive.combine { + inherit + (texlive) + scheme-full + multirow + hyperref + blindtext + etoolbox + topiclongtable + ; + }) + gnumake + ]; + + packages = with nixpkgsFor.${system}; [ + watcher + + gnumake + alejandra + ]; + }; + }); + }; +} diff --git a/meta.sty b/meta.sty new file mode 100644 index 0000000..8abd05d --- /dev/null +++ b/meta.sty @@ -0,0 +1,9 @@ +\newcommand{\doctitle}{Protokol 2} +\newcommand{\authorname}{Adam Mirre} + +\newcommand{\faculty}{Fakulta Aplikované Informatiky} +\newcommand{\shortfaculty}{FAI} +\newcommand{\uni}{Univerzita Tomáše Bati ve Zlíně} +\newcommand{\coursecode}{AK9IM} +\newcommand{\subject}{Výpočet impulsní funkce pomocí korelační analýzy} +\newcommand{\acyear}{2022} diff --git a/proto2.tex b/proto2.tex new file mode 100644 index 0000000..821712b --- /dev/null +++ b/proto2.tex @@ -0,0 +1,63 @@ +% vim: tw=0 wrap +\documentclass[12pt,a4paper]{article} +\usepackage{geometry} + \geometry{ + a4paper, + top=18mm, + bottom=19mm, + } +% \usepackage{lmodern} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[slovak]{babel} +\usepackage{pdfpages} +\usepackage[fleqn]{amsmath} +\usepackage{amssymb} +\usepackage{amsfonts} +% \usepackage{fontspec} +% \usefonttheme[onlymath]{serif} +% \usepackage{lstfiracode} +% \setmonofont{Fira Code Retina} +% \setmonofont{Fira Code Retina}[ + % Contextuals=Alternate % Activate the calt feature +% ] +\usepackage{bookmark} +\usepackage{multirow} +\usepackage{graphicx} +\usepackage{textcomp} +\usepackage{hyperref} +\usepackage{etoolbox} +\usepackage{longtable} +\usepackage{meta} +\usepackage[affil-it]{authblk} + +\date{\today} +\title{\coursecode{}\\\subject{}} +\author[1]{\authorname{} (\href{https://git.dotya.ml/wanderer}{wanderer})} + +\begin{document} +\affil{\shortfaculty{} UTB ve Zlíně, Informační technologie - Kybernetická bezpečnost} + +\maketitle +% \pagebreak + +\renewcommand{\figurename}{Obrázok} +\renewcommand{\tablename}{Tabuľka} +\renewcommand{\listtablename}{Zoznam tabuliek} +\renewcommand{\listfigurename}{Zoznam grafov} +\renewcommand{\contentsname}{Obsah} + +\newpage +\tableofcontents +\listoftables +\listoffigures +\pagebreak + +% \section{Zadanie} +\input{task} +\newpage + +\section{Vypracovanie} +\input{solution} + +\end{document} diff --git a/res/autocorrelation_u.jpg b/res/autocorrelation_u.jpg new file mode 100644 index 0000000000000000000000000000000000000000..6b376b1d803a48b7307835913f9d4df5fc77ec37 GIT binary patch literal 19912 zcmeHu1z42pw*N;7ND0yih=3pnC@Ec1BHgWm5<_*k+J>bt9Ymz%C75`Cn3$-$y;1K2 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Vzorkovaním signálu bolo získaných celkom 251 hodnôt. + +\begin{figure}[ht] + \centering + \includegraphics[width=.35\textwidth]{res/samplecount} + \caption{Počet vzoriek zachytených na výstupoch \textit{u} a \textit{y}} + \label{samplecount} +\end{figure} + + +\subsection{Uloženie zachytených vzoriek do CSV} +Kvôli ďalšiemu spracovávaniu dát v Pythone bolo nutné dostať vzorky z Matlabu +do CSV súboru. To sa dalo našťastie celkom jednoducho vykonať nasledujúcimi +príkazmi: + +\begin{figure}[h] + \centering + \begin{varwidth}{\linewidth} + \begin{verbatim} + >> % matlab command prompt + >> cd + >> m = [out.u, out.y] + >> writematrix(m, 'data/m.csv') + \end{verbatim} + \end{varwidth} + \caption{Uloženie dát do CSV súboru} +\end{figure} + +Najskôr sme sa premiestnili do \texttt{}, následne sme si so +zachytených vzoriek (jednorozmerné polia rovnakej dĺžky) vytvorili +\textit{maticu}. Túto maticu sme nakoniec zapísali príkazom +\texttt{writematrix} \footnote{V predošlom protokole sa vyskytovala chyba, +keďže som poznamenal, že bol použitý príkaz \texttt{matrixwrite}} do želaného +súboru. + +Súbor bolo dodatočne potrebné manuálne upraviť - pridať mu CSV "hlavičku" s +názvami stĺpcov, aby ho bolo možné za pomoci knižnice +\href{https://pandas.pydata.org/}{\texttt{Pandas}} bez problémov spracovať. + + +\newpage +\subsection{Získané signály} +\begin{figure}[ht] + \centering + \includegraphics[width=.77\textwidth]{res/signal_u} + \caption{Náhodne vygenerovaný signál pred aplikáciou filtra - u} + \label{fig:signalorig} +\end{figure} + +\begin{figure}[ht] + \centering + \includegraphics[width=.77\textwidth]{res/signal_y} + \caption{Náhodne vygenerovaný signál po aplikácii filtra - y} + \label{fig:signalfiltered} +\end{figure} + +\newpage +\subsection{Štatistické charakteristiky\ 1.\ a\ 2.\ rádu} +Vypočítali sme štatistické charakteristiky prvého a druhého rádu, ktorými sú: +\begin{itemize} + \item stredná hodnota pre u, y (viď tabuľka~\ref{table:stats}) + \item rozptyl pre u, y (viď tabuľka~\ref{table:stats}) + \item koeficient korelácie (viď tabuľka~\ref{table:stats}) + \item kovariančná matica (viď tabuľka~\ref{table:covmatrix}) + \item autokorelačná funkcia pre u, y (obr.~\ref{fig:autocorrelation-u},~\ref{fig:autocorrelation-y}) + \item vzájomne korelačná funkcia (obr.~\ref{fig:mutualcorrelation-uy},~\ref{fig:mutualcorrelation-yu}) +\end{itemize} + + +\newpage +\subsection{Korelácia} +\subsubsection{Autokorelačná funkcia u} +\begin{figure}[ht] + \centering + \includegraphics[width=.77\textwidth]{res/autocorrelation_u} + \caption{Autokorelačná funkcia u} + \label{fig:autocorrelation-u} +\end{figure} + +\subsubsection{Autokorelačná funkcia y} +\begin{figure}[ht] + \centering + \includegraphics[width=.77\textwidth]{res/autocorrelation_y} + \caption{Autokorelačná funkcia y} + \label{fig:autocorrelation-y} +\end{figure} + +\newpage +\subsubsection{Vzájomne korelačná funkcia} +\begin{figure}[ht] + \centering + \includegraphics[width=.77\textwidth]{res/mutual_correlation_uy} + \caption{Vzájomne korelačná funkcia uy} + \label{fig:mutualcorrelation-uy} +\end{figure} + +\begin{figure}[ht] + \centering + \includegraphics[width=.77\textwidth]{res/mutual_correlation_yu} + \caption{Vzájomne korelačná funkcia yu} + \label{fig:mutualcorrelation-yu} +\end{figure} + + +\newpage +\subsection{Štatistické charakteristiky - súhrn} + +\begin{table}[!hbt] + \centering + \begin{tabular}{r|cc} + & \textbf{u} & \textbf{y} \\ + \hline + \textbf{u} & 0.30774141 & -0.00436625 \\ + \textbf{y} & -0.00436625 & 0.01241115 \\ + \end{tabular} + + \caption{Kovariančná matica} + \label{table:covmatrix} +\end{table} + +Zo zaznamenaných dát signálov sme spočítali odhady stredných hodnôt a +rozptylov. +V~tabuľke~\ref{table:stats} môžeme vidieť výrazné posuny signálu po prechode +filtrom oproti pôvodnému signálu ako v strednej hodnote tak v rozptyle. + + +\begin{table}[!hbt] + \centering + \begin{tabular}{r|cc} + & \textbf{u} & \textbf{y} \\ + \hline + \textbf{$\hat{\mu}_{u,y}$ (stredná hodnota)} & -0.0016865221052993265 & 0.0030596815877553443 \\ + \textbf{$\hat{\sigma}^{2}_{u,y}$ (rozptyl)} & 0.3077414110318535 & 0.012411153945455982 \\ + \textbf{$\hat{r}(U,Y)$ (koeficient korelácie)} & \multicolumn{2}{c}{-0.07064959453763188} \\ + \end{tabular} + + \caption{Súhrn štatistických charakteristík} + \label{table:stats} +\end{table} + +Hodnota koeficientu korelácie je mierne záporná, čo znamená jemný náznak +tvrdenia, že signály spolu nesúvisia, resp. vzhľadom na to ako blízko je +daná záporná hodnota 0 ide skôr o preukázanie neexistencie súvisu. + + + +\newpage +\section{Záver} + diff --git a/task.tex b/task.tex new file mode 100644 index 0000000..765236a --- /dev/null +++ b/task.tex @@ -0,0 +1 @@ +\includepdf[pages=-]{res/zadani2.pdf}