From f6a45ff2a7bf405da58872611c74fd6bab1d6994 Mon Sep 17 00:00:00 2001 From: Philipp Le Date: Wed, 27 May 2020 00:59:00 +0200 Subject: WIP: Chapter 5 --- Makefile | 2 +- chapter04/content_ch04.tex | 2 +- chapter05/content_ch05.tex | 90 +++++++++++++++++++++++++++++++++++ main/DCS.tex | 5 ++ main/chapter04.tex | 2 +- main/chapter05.tex | 115 +++++++++++++++++++++++++++++++++++++++++++++ 6 files changed, 213 insertions(+), 3 deletions(-) create mode 100644 chapter05/content_ch05.tex create mode 100644 main/chapter05.tex diff --git a/Makefile b/Makefile index c13a8b4..dd8d149 100644 --- a/Makefile +++ b/Makefile @@ -4,7 +4,7 @@ BUILD_DIR = build LATEXMK = latexmk -pdf -silent -synctex=1 LATEXMK_PVC = $(LATEXMK) -pvc -ALL_CHAPTERS = $(BUILD_DIR)/chapter00.pdf $(BUILD_DIR)/chapter01.pdf $(BUILD_DIR)/chapter02.pdf $(BUILD_DIR)/chapter03.pdf $(BUILD_DIR)/chapter04.pdf +ALL_CHAPTERS = $(BUILD_DIR)/chapter00.pdf $(BUILD_DIR)/chapter01.pdf $(BUILD_DIR)/chapter02.pdf $(BUILD_DIR)/chapter03.pdf $(BUILD_DIR)/chapter04.pdf $(BUILD_DIR)/chapter05.pdf ALL_EXERCISES = $(BUILD_DIR)/exercise00.pdf $(BUILD_DIR)/exercise01.pdf $(BUILD_DIR)/exercise02.pdf $(BUILD_DIR)/exercise03.pdf ALL_SVGS = $(BUILD_DIR)/svg/ch01_EM_Spectrum_Properties.pdf $(BUILD_DIR)/svg/ch01_Electromagnetic-Spectrum.pdf $(BUILD_DIR)/svg/ch01_NetworkTopologies.pdf $(BUILD_DIR)/svg/ch03_Conv_Corr_Auto.pdf $(BUILD_DIR)/svg/ch04_win_blackman.pdf $(BUILD_DIR)/svg/ch04_win_hamming.pdf $(BUILD_DIR)/svg/ch04_win_hann.pdf $(BUILD_DIR)/svg/ch04_win_rect.pdf $(BUILD_DIR)/svg/ch04_win_tri.pdf $(BUILD_DIR)/svg/ch04_win_gauss.pdf COMMON_DEPS = common/settings.tex common/titlepage.tex common/acronym.tex common/imprint.tex DCS.bib diff --git a/chapter04/content_ch04.tex b/chapter04/content_ch04.tex index e93f287..6cd3635 100644 --- a/chapter04/content_ch04.tex +++ b/chapter04/content_ch04.tex @@ -2146,7 +2146,7 @@ The dynamic range increases, when more bits $B$ are added. However, the number o % %Analogous to the thermal noise floor, -\subsection{Time Recovery} +\subsection{Synchronization 1: Time Recovery} For wideband \ac{RF} applications, the sampling rate is chosen close to the maximum frequency of the signal, so that the Shannon-Nyquist sampling theorem can be fulfilled. diff --git a/chapter05/content_ch05.tex b/chapter05/content_ch05.tex new file mode 100644 index 0000000..474d59e --- /dev/null +++ b/chapter05/content_ch05.tex @@ -0,0 +1,90 @@ +% SPDX-License-Identifier: CC-BY-SA-4.0 +% +% Copyright (c) 2020 Philipp Le +% +% Except where otherwise noted, this work is licensed under a +% Creative Commons Attribution-ShareAlike 4.0 License. +% +% Please find the full copy of the licence at: +% https://creativecommons.org/licenses/by-sa/4.0/legalcode + +\chapter{Modulation} + +\begin{refsection} + +The task of a communication system is transmitting information. + +Example: Voice transmission +\begin{itemize} + \item Voice has a spectrum from about \SI{20}{Hz} to \SI{20}{kHz} + \item It is not feasible to transmit the spectrum directly as electromagnetic waves. + \item The electromagnetic spectrum must be shared with myriads of other users. + \item So, the voice is shifted to a higher frequency, for example, \SI{144.3}{MHz}. + \item The voice is \emph{modulated} on this \emph{carrier} of \SI{144.3}{MHz}. + \item The voice is then located from about \SI{144.28}{MHz} to \SI{144.32}{MHz}. +\end{itemize} + +\begin{definition}{Modulation} + \index{modulation} \textbf{Modulation} is the process of altering a signal -- the \index{carrier} \textbf{carrier} -- so that it contains the information of the \index{baseband} \textbf{baseband} signal. +\end{definition} + +In the previous example, the voice was the baseband signal. This can be transferred to any kind of information. In this chapter, we will discuss techniques to modulate data on carriers which can be transmitted over wired and wireless channels. + +\section{Modulation in The Time and Frequency Domain} + +Generally, the carrier is a \emph{monochromatic} signal, i.e., it is a sinusoidal function. A sinusoidal function has three parameters: (angular) frequency $\omega_C$, phase $\varphi_C$ and amplitude $\hat{X}_C$. +\begin{equation} + x_C(t) = \hat{X}_C \cos\left(\omega_C t + \varphi_C\right) +\end{equation} +The frequency is fixed to the carrier frequency. The other two parameters can be altered and the information can be modulated into them. + +There are two classes of modulation: +\begin{itemize} + \item \textbf{Amplitude modulation} The amplitude of the carrier is altered. + \begin{equation} + x_{S,AM}(t) = f_{\hat{X}(t)} \cos\left(\omega_C t + \varphi_C\right) + \end{equation} + \item \textbf{Phase modulation} The phase of the carrier is altered. + \begin{equation} + x_{S,PM}(t) = \hat{X}_C \cos\left(\omega_C t + f_{\varphi}(t)\right) + \end{equation} +\end{itemize} + +\subsection{Amplitude Modulation} + +\subsection{Phase Modulation} + +\subsection{Technical Realization} + +\todo{Non-linear component} + +\todo{IP3} + +\section{Digital Modulation Techniques} + +\subsection{Phase Shift Keying} + +\subsection{Coherent and Non-Coherent Demodulation} + +\subsection{Constellation Diagrams} + +\todo{What is a symbol?} + +\todo{Data to symbol mapping} + +\todo{QAM} + +\subsection{IQ Modulator} + +\todo{signal chain: S/P -> constellation diagram -> iFFT -> IQ} + +\subsection{Synchronization 2: Carrier Recovery} + +\todo{Frequency and phase offset} + + +\phantomsection +\addcontentsline{toc}{section}{References} +\printbibliography[heading=subbibliography] +\end{refsection} + diff --git a/main/DCS.tex b/main/DCS.tex index 6ec2dd8..b4bebd6 100644 --- a/main/DCS.tex +++ b/main/DCS.tex @@ -89,6 +89,11 @@ %\input{../exercise04/exercise04.tex} \clearpage +\input{../chapter05/content_ch05.tex} +\clearpage +%\input{../exercise05/exercise05.tex} +\clearpage + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Appendix diff --git a/main/chapter04.tex b/main/chapter04.tex index 5284900..9d2439c 100644 --- a/main/chapter04.tex +++ b/main/chapter04.tex @@ -14,7 +14,7 @@ \def\thekindofdocument{Lecture Notes} \def\thesubtitle{Chapter 4: Sampling and Time-Discrete Signals and Systems} \def\therevision{1} -\def\therevisiondate{2020-05-17} +\def\therevisiondate{2020-05-26} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Header diff --git a/main/chapter05.tex b/main/chapter05.tex new file mode 100644 index 0000000..aacbdd0 --- /dev/null +++ b/main/chapter05.tex @@ -0,0 +1,115 @@ +% SPDX-License-Identifier: CC-BY-SA-4.0 +% +% Copyright (c) 2020 Philipp Le +% +% Except where otherwise noted, this work is licensed under a +% Creative Commons Attribution-ShareAlike 4.0 License. +% +% Please find the full copy of the licence at: +% https://creativecommons.org/licenses/by-sa/4.0/legalcode + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Configuration +\def\thekindofdocument{Lecture Notes} +\def\thesubtitle{Chapter 5: Modulation} +\def\therevision{1} +\def\therevisiondate{2020-05-26} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Header +\input{../common/settings.tex} + +\begin{document} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Title Page +\pagenumbering{Alph} +\pagestyle{empty} + +% Title Page +\input{../common/titlepage.tex} +\newpage + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Preface +\pagenumbering{arabic} +\pagestyle{headings} + +% Inhaltsverzeichnis +%\tableofcontents +%\newpage + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Content + +\setcounter{chapter}{4} + +\input{../chapter05/content_ch05.tex} +\clearpage + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Appendix + +\begin{appendix} + +%\include{appendix/crlb} + +\end{appendix} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Nachtrag + +% References +%\bibliographystyle{unsrt} +%\bibliography{Masterarbeit} + +% List of Acronyms +\input{../common/acronym.tex} +\newpage + +% Notation +%\include{formales/notation} +%\newpage + +% List of Symbols +%\include{formales/formelzeichen} +\newpage + +% List of Block Diagram Symbols +%\include{formales/blockfigures} +\newpage + +% Print default index +\phantomsection +\addcontentsline{toc}{chapter}{Index} +\printindex +\newpage + +% List of Figures +\phantomsection +\addcontentsline{toc}{chapter}{\listfigurename} +\listoffigures +\newpage + +% List of Tables +\phantomsection +\addcontentsline{toc}{chapter}{\listtablename} +\listoftables +\newpage + +% Nomenclature +\phantomsection +\addcontentsline{toc}{chapter}{Nomenclature} +\printnomenclature +\newpage + +% Imprint +\input{../common/imprint.tex} +\newpage + +% To Do +\pagenumbering{alph} +%\listoftodos + +\end{document} -- cgit v1.1