Memoire

% A LaTeX template fitted for a Phd thesis report
% Copyright (C) 2013 Damien Roque

% This program is free software; you can redistribute it and/or
% modify it under the terms of the GNU General Public License
% as published by the Free Software Foundation; either version 2
% of the License, or (at your option) any later version.

% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
% GNU General Public License for more details.

% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.

% Author : Damien Roque <damien.roque@gipsa-lab.grenoble-inp.fr>

\documentclass[a4paper,11pt,twoside]{templates/roque-phdthesis-template}

% Include configuration (loading packages, defining the style of the document...)
\usepackage[utf8]{inputenc}
\include{0-configuration/configuration}

% Include user's macros
\include{0-configuration/macros}

% Build only the following parts of the document (recommended for large documents)
% \include{2-chapters/2-1-introduction}
% \include{2-chapters/2-2-first-chapter}
% \include{2-chapters/2-3-another-chapter}
% \include{2-chapters/2-7-conclusion}

\begin{document}
% \shorthandoff{:} % Commande pour enlever l'espace avant les deux points 

% Include the title pages
% (the first is made mandatory by UDG and the second is more traditional)
\include{1-opening/titlepage}

% Build a per-chapter table of content
\dominitoc

% Use roman page numbering for non-significant pages
\pagenumbering{roman}
\frontmatter

% Include the acknowledgements page
\cleardoublepage
\listoftodos
\include{1-opening/acknowledgements}

% Build the general table of contents
\setcounter{tocdepth}{1}
\tableofcontents

% Build the list of figures
\listoffigures

% Build the list of tables
\listoftables

% Include the acronym list
\cleardoublepage
\include{1-opening/acronyms}

%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Chapters are included here %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%

% Use arabic page numbering for significant pages
\mainmatter
\pagestyle{fancy}

% Include the chapters
\include{2-chapters/2-0-introduction}

\include{2-chapters/0-1-first-part}
\include{2-chapters/2-1-chapter1}
\include{2-chapters/2-2-chapter2}
\include{2-chapters/2-3-chapter3}
\include{2-chapters/0-1-conclusion-first-part}

\include{2-chapters/0-2-second-part}
\include{2-chapters/2-3-chapter4}
\include{2-chapters/2-5-chapter5}
\include{2-chapters/2-6-chapter6}
\include{2-chapters/2-7-experiments}
\include{2-chapters/0-2-conclusion-second-part}

\include{2-chapters/3-0-conclusion}

%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Appendices are included here %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%
\appendix
\include{3-appendices/3-1-first-appendix}
\include{3-appendices/3-2-second-appendix}
\include{3-appendices/3-3-third-appendix}

% Build the references list
% Bibtex
% \bibliographystyle{alpha}
% \bibliography{references.bib}

% BibLatex
\printbibliography
\addstarredchapter{Bibliographie}
\markboth{Bibliographie}{Bibliographie}

% Include the abstract
\cleardoublepage
\input{4-closing/abstract}

\end{document}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Extra


% Exemple références
Lorem ipsum dolor sit amet, consectetur adipiscing elit \cite{Roque2012,Roque2012b,Roque2012c,Roque2012d}. Sed non risus \cite{Bello1963}. 

% Exemple figure
amet (fig. \ref{fig:une-image}).
\begin{figure}[htp]
	\centering
	\input{images/tikz_diagram}
	\caption{Exemple de diagramme TikZ.}
	\label{fig:une-image}
\end{figure}


% Exemple tableau
Curabitur eu amet (tab. \ref{tab:un-tableau}).
\begin{table}[ht]
	\begin{center}
		\begin{tabular}{|c|c|c|c|c|}
			\hline
			& $h(t,\tau)$ & $S_{\OP{H}}^{(\alpha)} (f,\tau)$ & $L_{\OP{H}}^{(\alpha)} (\nu,t)$ & $H^{(\alpha)}(f,\nu)$ \\
			\hline
			LTI & $q(\tau)$ & $q(\tau) \delta(f)$ & $Q(\nu)$ & $Q(\nu) \delta(\nu-f)$ \\
			\hline
			LFI & $m(t) \delta(\tau)$ & $M(f) \delta(\tau)$ & $m(t)$ & $M(f)$\\
			\hline
			identité & $\delta(t)$ & $\delta(f)\delta(\tau)$ & $1$ & $\delta(\nu-f)$\\
			\hline
		\end{tabular}
		\caption{Exemple de tableau.}
		\label{tab:un-tableau}
	\end{center}
\end{table}

% Exemple 2 figure
amet (fig. \ref{fig:une-autre-image}).

\begin{figure}[htp]
	\centering
	\includegraphics[width=4cm]{images/bitmap_image}
	\caption{Exemple d'image au format JPG.}
	\label{fig:une-autre-image}
\end{figure}

% Exemple figure
\textbf{\begin{figure}[htp!]
		\centering
		\setlength\figureheight{7cm}
		\setlength\figurewidth{9cm}
		\input{images/tikz_plot}
		\caption{Exemple de courbe TikZ.}
		\label{fig:courbe-tikz}
	\end{figure}}


% Exemple équation
\begin{align}
H_{m,n,p,q} &= \DPR{\rproto_{p,q}}{\OP{H} \tproto_{m,n}}\\
&= \iint\limits_{\SET{R}^2} S_{\OP{H}}(f,\tau) \DPR{\rproto_{p,q}}{\OP{U}_{f,\tau} \tproto_{m,n}} \ud f \ud \tau \\
&= \iint\limits_{\SET{R}^2} S_{\OP{H}}(f,\tau) \int\limits_{\R} \rproto_{p,q}^*(t) \OP{U}_{f,\tau} (\tproto_{m,n})(t) \ud t \ud f \ud \tau\\
&= \iint\limits_{\SET{R}^2} S_{\OP{H}}(f,\tau) \int\limits_{\R} \rproto^*(t-qT_0)e^{-j2 \pi pF_0t} \tproto(t-nT_0-\tau)e^{j2 \pi (mF_0(t-\tau) + ft)} \ud t \ud f \ud \tau\\
&= \iint\limits_{\SET{R}^2} S_{\OP{H}}(f,\tau) e^{-j2\pi m F_0 \tau} \int\limits_{\R} \rproto^*(t-qT_0) \tproto(t-nT_0-\tau)e^{j2 \pi ((m-p)F_0 + f)t} \ud t \ud f \ud \tau.
\end{align}