175 lines
4.7 KiB
TeX
175 lines
4.7 KiB
TeX
\documentclass[a4paper]{article}
|
|
\usepackage[T1]{fontenc}
|
|
\usepackage[utf8]{inputenc}
|
|
\usepackage{graphicx}
|
|
\usepackage{amsmath}
|
|
\usepackage{amsfonts}
|
|
\usepackage{amssymb}
|
|
\usepackage{color}
|
|
\usepackage{caption}
|
|
\usepackage[french]{babel}
|
|
\usepackage[hidelinks=true]{hyperref}
|
|
\usepackage{mathtools}
|
|
\usepackage[nottoc, numbib]{tocbibind}
|
|
|
|
%\usepackage[section]{placeins}
|
|
|
|
\renewcommand\thesection{}
|
|
|
|
\graphicspath{
|
|
{./img/}
|
|
}
|
|
|
|
\usepackage[
|
|
top=1.5cm,
|
|
bottom=1.5cm,
|
|
left=1.5cm,
|
|
right=1.5cm
|
|
]{geometry}
|
|
|
|
\setlength{\parskip}{0.2cm}
|
|
\setlength{\parindent}{0pt}
|
|
|
|
\begin{document}
|
|
|
|
\begin{figure}[t]
|
|
\centering
|
|
\includegraphics[width=5cm]{inp_n7.png}
|
|
\end{figure}
|
|
|
|
\title{
|
|
\vspace{4cm}
|
|
\textbf{Compte-rendu de TP} \\
|
|
Introduction aux communications numériques \\
|
|
Étude de chaines de transmission sur porteuse
|
|
}
|
|
\author{Laurent Fainsin}
|
|
\date{
|
|
\vspace{7cm}
|
|
Département Sciences du Numérique \\
|
|
Première année \\
|
|
2020 — 2021
|
|
}
|
|
|
|
\maketitle
|
|
|
|
\newpage
|
|
|
|
\tableofcontents
|
|
|
|
\newpage
|
|
|
|
\section{Chaine passe-bas équivalente}
|
|
|
|
\begin{figure}[ht!]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_env_port.png} &
|
|
\includegraphics[width=9.5cm]{trim_freq_port.png} \\
|
|
\end{tabular}
|
|
\caption{Aperçu du signal avant et après transposition en fréquence \label{fig : preview_signal}}
|
|
\end{figure}
|
|
|
|
\begin{figure}[ht!]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_dsp_env_port.png} &
|
|
\includegraphics[width=9.5cm]{trim_dsp_freq_port.png} \\
|
|
\end{tabular}
|
|
\caption{DSP du signal avant et après transposition en fréquence \label{fig : DSP_signal}}
|
|
\end{figure}
|
|
|
|
\begin{figure}[ht!]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_oeil_port.png} &
|
|
\includegraphics[width=9.5cm]{trim_teb_port.png} \\
|
|
\end{tabular}
|
|
\caption{\label{fig : oeil_teb}}
|
|
\end{figure}
|
|
|
|
On observe sur la figure \ref{fig : DSP_signal} le déplacement du spectre autour de la fréquence $f_p = 2 kHz$, le signal sur le canal n'est plus en bande de base.
|
|
|
|
On remarque que le TEB du signal transmis sur porteuse et le TEB du signal transmis sur passe-bas équivalent sont identiques, ce qui est attendu. Le TEB est donné sur la figure \ref{fig : oeil_teb}.
|
|
|
|
\newpage
|
|
|
|
\section{Comparaison de modulations sur féquence porteuse}
|
|
|
|
\begin{figure}[ht!]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_ASK4_2.png} &
|
|
\includegraphics[width=9.5cm]{trim_ASK4_4.png} \\
|
|
\includegraphics[width=9.5cm]{trim_ASK4_6.png} &
|
|
\includegraphics[width=9.5cm]{trim_ASK4_8.png} \\
|
|
\end{tabular}
|
|
\caption{Constellations de la modulation 4-ASK \label{fig : const_ASK4}}
|
|
\end{figure}
|
|
|
|
\newpage
|
|
|
|
\begin{figure}[ph]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_QPSK_2.png} &
|
|
\includegraphics[width=9.5cm]{trim_QPSK_4.png} \\
|
|
\includegraphics[width=9.5cm]{trim_QPSK_6.png} &
|
|
\includegraphics[width=9.5cm]{trim_QPSK_8.png} \\
|
|
\end{tabular}
|
|
\caption{Constellations de la modulation QPSK \label{fig : const_QPSK}}
|
|
\end{figure}
|
|
|
|
\begin{figure}[ph]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_PSK8_2.png} &
|
|
\includegraphics[width=9.5cm]{trim_PSK8_4.png} \\
|
|
\includegraphics[width=9.5cm]{trim_PSK8_6.png} &
|
|
\includegraphics[width=9.5cm]{trim_PSK8_8.png} \\
|
|
\end{tabular}
|
|
\caption{Constellations de la modulation 8-PSK \label{fig : const_PSK4}}
|
|
\end{figure}
|
|
|
|
\begin{figure}[ph]
|
|
\hspace{-1cm}
|
|
\begin{tabular}{cc}
|
|
\includegraphics[width=9.5cm]{trim_QAM16_2.png} &
|
|
\includegraphics[width=9.5cm]{trim_QAM16_4.png} \\
|
|
\includegraphics[width=9.5cm]{trim_QAM16_6.png} &
|
|
\includegraphics[width=9.5cm]{trim_QAM16_8.png} \\
|
|
\end{tabular}
|
|
\caption{Constellations de la modulation 16-QAM \label{fig : const_QAM16}}
|
|
\end{figure}
|
|
|
|
\newpage
|
|
|
|
\begin{figure}[ht!]
|
|
\centering
|
|
\includegraphics[width=17cm]{trim_mod_comp.png}
|
|
\caption{TEB (lissées) des modulations \label{fig : comp_TEB}}
|
|
\end{figure}
|
|
|
|
\begin{figure}[ht!]
|
|
\centering
|
|
\includegraphics[width=17cm]{trim_dsp_comp.png}
|
|
\caption{DSP (lissées) des modulations \label{fig : comp_DSP}}
|
|
\end{figure}
|
|
|
|
On a tracé sur la figure \ref{fig : comp_TEB} les TEB pour ces quatres modulations. On peut ainsi définir l'ordre d'efficacité en puissance :
|
|
\begin{enumerate}
|
|
\item QPSK
|
|
\item 8-PSK
|
|
\item 16-QAM
|
|
\item 4-ASK
|
|
\end{enumerate}
|
|
|
|
On a tracé sur la figure \ref{fig : comp_DSP} les DSP de ces quatres modulations. On peut ainsi définir l'ordre d'efficacité spectral :
|
|
\begin{enumerate}
|
|
\item 16-QAM
|
|
\item 8-PSK
|
|
\item QPSK
|
|
\item 4-ASK
|
|
\end{enumerate}
|
|
|
|
\end{document} |