diff --git a/.gitignore b/.gitignore index f7d7fdc..810ca05 100644 --- a/.gitignore +++ b/.gitignore @@ -1,12 +1,215 @@ -/Elo2.pdf -*.synctex -*.synctex.gz -/tmp + + +#ignore thumbnails created by windows +Thumbs.db +#Ignore files build by Visual Studio +*.obj +*.exe +*.user +*.pdb +*.aps +*.pch +*.vspscc +*_i.c +*_p.c +*.ncb +*.suo +*.tlb +*.tlh +*.bak +*.cache +*.ilk +*.log +[Bb]in +[Dd]ebug*/ +*.lib +*.sbr +obj/ +[Rr]elease*/ +_ReSharper*/ +[Tt]est[Rr]esult* + +## Core latex/pdflatex auxiliary files: *.aux +*.lof *.log +*.lot +*.fls *.out *.toc -# Ignore preview files of TikzEdt -*.preview.* -/Elo2.tcp -/Elo2.tps +*.fmt +*.fot +*.cb +*.cb2 + +*.txss + +## Intermediate documents: +*.dvi +*-converted-to.* +# these rules might exclude image files for figures etc. + *.ps + *.eps + *.pdf + *.doc + +## Bibliography auxiliary files (bibtex/biblatex/biber): +*.bbl +*.bcf +*.blg +*-blx.aux +*-blx.bib +*.brf +*.run.xml + +## Build tool auxiliary files: +*.fdb_latexmk +*.synctex +*.synctex.gz +*.synctex.gz(busy) +*.pdfsync + +## Auxiliary and intermediate files from other packages: +# algorithms +*.alg +*.loa + +# achemso +acs-*.bib + +# amsthm +*.thm + +# beamer +*.nav +*.snm +*.vrb + +# cprotect +*.cpt + +# fixme +*.lox + +#(r)(e)ledmac/(r)(e)ledpar +*.end +*.?end +*.[1-9] +*.[1-9][0-9] +*.[1-9][0-9][0-9] +*.[1-9]R +*.[1-9][0-9]R +*.[1-9][0-9][0-9]R +*.eledsec[1-9] +*.eledsec[1-9]R +*.eledsec[1-9][0-9] +*.eledsec[1-9][0-9]R +*.eledsec[1-9][0-9][0-9] +*.eledsec[1-9][0-9][0-9]R + +# glossaries +*.acn +*.acr +*.glg +*.glo +*.gls +*.glsdefs + +# gnuplottex +*-gnuplottex-* + +# hyperref +*.brf + +# knitr +*-concordance.tex +# TODO Comment the next line if you want to keep your tikz graphics files +*.tikz +*-tikzDictionary + +# listings +*.lol + +# makeidx +*.idx +*.ilg +*.ind +*.ist + +# minitoc +*.maf +*.mlf +*.mlt +*.mtc +*.mtc[0-9] +*.mtc[1-9][0-9] + +# minted +_minted* +*.pyg + +# morewrites +*.mw + +# mylatexformat +*.fmt + +# nomencl +*.nlo + +# sagetex +*.sagetex.sage +*.sagetex.py +*.sagetex.scmd + +# sympy +*.sout +*.sympy +sympy-plots-for-*.tex/ + +# pdfcomment +*.upa +*.upb + +# pythontex +*.pytxcode +pythontex-files-*/ + +# thmtools +*.loe + +# TikZ & PGF +*.dpth +*.md5 +*.auxlock + +# todonotes +*.tdo + +# xindy +*.xdy + +# xypic precompiled matrices +*.xyc + +# endfloat +*.ttt +*.fff + +# Latexian +TSWLatexianTemp* + +## Editors: +# WinEdt +*.bak +*.sav + +# Texpad +.texpadtmp + +# Kile +*.backup + +# KBibTeX +*~[0-9]* +*.pdf \ No newline at end of file diff --git a/.gitmodules b/.gitmodules index cba4596..d596c78 100644 --- a/.gitmodules +++ b/.gitmodules @@ -4,3 +4,6 @@ [submodule "idiotenseite"] path = idiotenseite url = https://github.com/HSR-Stud/idiotenseite.git +[submodule "Travis"] + path = Travis + url = https://github.com/HSR-Stud/Travis.git diff --git a/.project b/.project deleted file mode 100644 index 2b1910c..0000000 --- a/.project +++ /dev/null @@ -1,24 +0,0 @@ - - - Elo2 - - - - - - net.sourceforge.texlipse.builder.TexlipseBuilder - - - - - - net.sourceforge.texlipse.builder.TexlipseNature - - - - .tex - 1 - /usr/local/texlive/2011/texmf-dist/tex/latex/tools/.tex - - - diff --git a/.settings/org.eclipse.core.resources.prefs b/.settings/org.eclipse.core.resources.prefs deleted file mode 100644 index 1988cab..0000000 --- a/.settings/org.eclipse.core.resources.prefs +++ /dev/null @@ -1,3 +0,0 @@ -#Mon Feb 27 14:14:46 CET 2012 -eclipse.preferences.version=1 -encoding/=UTF-8 diff --git a/.settings/org.eclipse.core.runtime.prefs b/.settings/org.eclipse.core.runtime.prefs deleted file mode 100644 index 5a0ad22..0000000 --- a/.settings/org.eclipse.core.runtime.prefs +++ /dev/null @@ -1,2 +0,0 @@ -eclipse.preferences.version=1 -line.separator=\n diff --git a/.texlipse b/.texlipse deleted file mode 100644 index ff1ef44..0000000 --- a/.texlipse +++ /dev/null @@ -1,14 +0,0 @@ -#TeXlipse project settings -#Mon Feb 27 14:12:23 CET 2012 -markTmpDer=true -builderNum=2 -outputDir= -makeIndSty= -bibrefDir= -outputFormat=pdf -tempDir=tmp -mainTexFile=Elo2.tex -outputFile=Elo2.pdf -langSpell=de -markDer=true -srcDir= diff --git a/.travis.yml b/.travis.yml new file mode 100644 index 0000000..ad9a380 --- /dev/null +++ b/.travis.yml @@ -0,0 +1,35 @@ +notifications: + email: false +sudo: required +dist: trusty +install: + - dir + - pwd + - source ./Travis/texlive_install.sh +cache: + directories: + - /tmp/texlive + - $HOME/.texlive +# Change working directory so including files will work +before_script: +- dir +- pwd +script: +# Prefix command with travis_wait x so it times out after 3 mins, because when the LaTeX doesn't compile pdflatex just hangs instead of quitting. +- travis_wait 3 pdflatex -interaction=nonstopmode -halt-on-error ./Elo2.tex +- travis_wait 3 pdflatex -interaction=nonstopmode -halt-on-error ./Elo2.tex +- travis_wait 3 pdflatex -interaction=nonstopmode -halt-on-error ./Elo2.tex + +before_deploy: +- dir +deploy: + provider: releases + api_key: + secure: $GITHUB_RELEASE_TOKEN + file: + - ./Elo2.pdf + skip_cleanup: true + on: + tags: true + all_branches: true + diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt index 2bfe4db..b04d888 100644 --- a/CONTRIBUTORS.txt +++ b/CONTRIBUTORS.txt @@ -1,4 +1,4 @@ -Jürg Rast (jrast) +Jürg Rast (jrast) Anina Schälle (aschaelle) Raphael Nestler (rnestler) Mathias Diethelm (mdiethelm) @@ -10,3 +10,4 @@ Christian Gwerder (cgwerder) Sven Körner (skoerner) Hannes Badertscher (hbaderts) Marcel Giger (mgiger) +Noah Kälin (n1kaelin) diff --git a/Elo2.tex b/Elo2.tex index 1c5d97a..c188295 100644 --- a/Elo2.tex +++ b/Elo2.tex @@ -2,8 +2,8 @@ % Dokumentinformationen % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\titleinfo}{Elektronik 2 - Formelsammlung} -\newcommand{\authorinfo}{A.Sch\"alle, D.Wright, A.Waldvogel, C.Gwerder, S.Koerner, M. Ehrler, L. Leuenberger, M.Giger} -\newcommand{\versioninfo}{$Revision: 3.0\quad$ FS2018} +\newcommand{\authorinfo}{A.Sch\"alle, D.Wright, A.Waldvogel, C.Gwerder, S.Koerner, M. Ehrler, L. Leuenberger, M.Giger, N.Kaelin} +\newcommand{\versioninfo}{$Revision: 3.0\quad$ FS2019} % Header \include{header/header} @@ -32,8 +32,6 @@ \newpage \input{sections/rauschen} - -\input{sections/spannungsreferenzen} \input{sections/referenzspannungen} \newpage diff --git a/README.md b/README.md index e62f3f5..8ac7e7e 100644 --- a/README.md +++ b/README.md @@ -1,20 +1,10 @@ # Elo2 - Elektronik 2 -Verantwortlich: Anina Schälle +[![Build Status](https://travis-ci.org/n04hk/Elo2.svg?branch=short)](https://travis-ci.org/n04hk/Elo2) -## Plan und Lerninhlat +## License +CC by-nc-sa -Nach unterricht.hsr.ch: - * Bipolar-Transistoren - * Feldeffekt-Transistoren - * Ideale und reale Transistormodelle - * Katalog wichtiger Schaltungen mit Transistoren - * Entwurf und Dimensionierung von praktischen Schaltungen - * Grundsätze des praktischen Schaltungsaufbaus - * Praktischer Einsatz von SPICE - -Achtung, nach Gido Keel sieht das ganz anders aus! - -## Braches in diesem Repo: +## Branches in diesem Repo: * **master**: Lange Version der Zusammenfassung - * **short**: Kurze Version der Zusammenfassung, für die Prüfung \ No newline at end of file + * **short**: Kurze Version der Zusammenfassung, für die Prüfung diff --git a/Travis b/Travis new file mode 160000 index 0000000..f8fce5f --- /dev/null +++ b/Travis @@ -0,0 +1 @@ +Subproject commit f8fce5fe36ab6044ed21dcf4af432ec32751cb3f diff --git a/header/header.tex b/header/header.tex index 3b947d2..1d8017c 100644 --- a/header/header.tex +++ b/header/header.tex @@ -1,9 +1,9 @@ %Schriftgr"osse, Layout, Papierformat, Art des Dokumentes \documentclass[10pt,a4paper,fleqn,headsepline,footsepline]{scrartcl} %Einstellungen der Seitenränder -\usepackage[left=0.5cm,right=0.5cm,top=0.3cm,bottom=0.3cm,includeheadfoot]{geometry} +\usepackage[left=0.5cm,right=0.5cm,top=0.3cm,bottom=0.3cm,includeheadfoot,headsep=0.2cm,footskip=0.6cm]{geometry} % Sprache, Zeichensatz, packages -\usepackage[UTF8]{inputenc} +\usepackage[utf8]{inputenc} \usepackage[ngerman]{babel,varioref} \usepackage{amssymb,amsmath,graphicx,xcolor,lastpage,wrapfig,verbatim} \usepackage{tabularx,longtable} diff --git a/pictures/AolAcl.png b/images/AolAcl.png similarity index 100% rename from pictures/AolAcl.png rename to images/AolAcl.png diff --git a/pictures/Ausgangsverstaerker.png b/images/Ausgangsverstaerker.png similarity index 100% rename from pictures/Ausgangsverstaerker.png rename to images/Ausgangsverstaerker.png diff --git a/pictures/DAC_exp.png b/images/DAC_exp.png similarity index 100% rename from pictures/DAC_exp.png rename to images/DAC_exp.png diff --git a/pictures/DNL_DAC.png b/images/DNL_DAC.png similarity index 100% rename from pictures/DNL_DAC.png rename to images/DNL_DAC.png diff --git a/pictures/DNL_ges.png b/images/DNL_ges.png similarity index 100% rename from pictures/DNL_ges.png rename to images/DNL_ges.png diff --git a/pictures/EoffADC.png b/images/EoffADC.png similarity index 100% rename from pictures/EoffADC.png rename to 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and /dev/null differ diff --git a/pictures/verstaerkungsfaktor.png b/pictures/verstaerkungsfaktor.png deleted file mode 100644 index a80740b..0000000 Binary files a/pictures/verstaerkungsfaktor.png and /dev/null differ diff --git a/pictures/zdiode-kennlinie.png b/pictures/zdiode-kennlinie.png deleted file mode 100644 index 66eb076..0000000 Binary files a/pictures/zdiode-kennlinie.png and /dev/null differ diff --git a/pictures/zener-gs.png b/pictures/zener-gs.png deleted file mode 100644 index 1c105a4..0000000 Binary files a/pictures/zener-gs.png and /dev/null differ diff --git a/pictures/zener-ks.png b/pictures/zener-ks.png deleted file mode 100644 index d2f7094..0000000 Binary files a/pictures/zener-ks.png and /dev/null differ diff --git a/sections/ADWandler.tex b/sections/ADWandler.tex index c27dcb2..d512234 100644 --- a/sections/ADWandler.tex +++ b/sections/ADWandler.tex @@ -1,7 +1,7 @@ \section{AD Wandler \hartl{475}} \subsection{Vergleich ADC} -\includegraphics[width=6cm, valign=t]{pictures/vergleich_ADC.png} +\includegraphics[width=8cm, valign=t]{images/vergleich_ADC.png} \newpage \subsection{Parallelverfahren und Kaskadenumsetzer} @@ -9,7 +9,7 @@ \subsection{Parallelverfahren und Kaskadenumsetzer} \begin{longtable}{|>{\bfseries}p{4cm}|p{6cm}|p{8cm}|} \hline Parallelumsetzer (Flash-ADC) & - \includegraphics[width=5cm, valign=t]{pictures/parallelADC} & + \includegraphics[width=5cm, valign=t]{images/parallelADC} & \textbf{Vorteile}:\newline sehr schnell, keine DAC Rückkoppelung\newline \textbf{Nachteile}\newline @@ -19,9 +19,9 @@ \subsection{Parallelverfahren und Kaskadenumsetzer} \\ \hline Kaskadenumsetzer (Pipeline ADC) & - \includegraphics[width=5cm, valign=t]{pictures/kaskaden} \newline - \includegraphics[width=5cm, valign=t]{pictures/kaskaden_fehlerkorrektur.png} \newline - \includegraphics[width=5cm, valign=t]{pictures/latenz}& + \includegraphics[width=5cm, valign=t]{images/kaskaden} \newline + \includegraphics[width=5cm, valign=t]{images/kaskaden_fehlerkorrektur.png} \newline + \includegraphics[width=5cm, valign=t]{images/latenz}& Eine 10-bit-Auflösung beim Parallelverfahren benötigt 1024 Komperatoren. $\Rightarrow$Komplexitätsreduktion \newline Mit erstem $N_{1}$-bit ADC wird der Grobbereich festgelegt (höherwertige @@ -35,11 +35,10 @@ \subsection{Parallelverfahren und Kaskadenumsetzer} m = Bit pro Stufe \newline $p(2^m-1)$ Komperatoren \newline $n = p \cdot m$ \newline - \newline \begin{tabular}{lp{6cm}} Bild 1: & Pipeline ADC ohne Fehlerkorrektur \\ Bild 2: & Pipeline ADC mit Fehlerkorrektur \\ - Bild 3: & Verzögerung der Ausgangsdaten gegeüber den Sampels (Latenz) + Bild 3: & Verzögerung der Ausgangsdaten gegenüber den Samples (Latenz) \end{tabular} \\ \hline \end{longtable} @@ -49,7 +48,7 @@ \subsection{Wägeverfahren (sukzessive Approximation/SAR) \hartl{485}} \begin{longtable}{|>{\bfseries}p{4cm}|p{6cm}|p{8cm}|} \hline Prinip SAR & - \includegraphics[width=6cm, valign=t]{pictures/waegeverfahren} & + \includegraphics[width=6cm, valign=t]{images/waegeverfahren} & \begin{itemize} \item Abtastung der Eingangsspannung $V_{in}$mit einer S\&H-Schaltung( Vergleichsspannung liegt so während der gesamten @@ -58,7 +57,7 @@ \subsection{Wägeverfahren (sukzessive Approximation/SAR) \hartl{485}} \end{itemize} \\ & - \includegraphics[width=6cm, valign=t]{pictures/prinzip_SAR.png} & + \includegraphics[width=6cm, valign=t]{images/prinzip_SAR.png} & \textbf{Ablauf der Wandlung:} \begin{enumerate} \item Im Sample-Hold wird ein analoger Wert gespeichert @@ -74,7 +73,7 @@ \subsection{Wägeverfahren (sukzessive Approximation/SAR) \hartl{485}} \end{enumerate} \\ \hline Wägeverfahren SAR mit SC-Prinzip & - \includegraphics[width=6cm, valign=t]{pictures/waegeverfahrenSC} & + \includegraphics[width=6cm, valign=t]{images/waegeverfahrenSC} & \textbf{Ablauf der Wandlung:} \begin{enumerate} \item alle C mit $V_{in}$ laden @@ -106,20 +105,20 @@ \subsection{Iterative ADC} \item X wird um 1 reduziert \item Gehe zu Schritt 4, wenn $X\geq0$ \end{enumerate} & - \includegraphics[width=4cm, valign=t]{pictures/iterativeADC}\newline - \includegraphics[width=4cm, valign=t]{pictures/iterativeADC_ablauf}\\ + \includegraphics[width=4cm, valign=t]{images/iterativeADC}\newline + \includegraphics[width=4cm, valign=t]{images/iterativeADC_ablauf}\\ \hline \end{longtable} \subsection{Zählverfahren \hartl{490}} -Ist für kontinuierliche Auswertungen des Eingangssignal +Ist für kontinuierliche Auswertungen des Eingangssignals \subsubsection{Single Slope} \begin{tabular}{ccp{4cm}} - \includegraphics[width=5cm, valign=t]{pictures/singleSlope1} & - \includegraphics[width=5cm, valign=t]{pictures/singleSlope2} & + \includegraphics[width=5cm, valign=t]{images/singleSlope1} & + \includegraphics[width=5cm, valign=t]{images/singleSlope2} & {\begin{align*} V_{in}&=\frac{V_{Ref} \cdot R \cdot C}{T_{int}}\\ T_{int} &= \frac{V_{ref} \cdot R\cdot C}{V_{in}} @@ -128,13 +127,13 @@ \subsubsection{Single Slope} \subsubsection{Dual Slope \hartl{492}} \begin{longtable}{cp{12cm}} - \includegraphics[width=5cm, valign=t]{pictures/dualSlope11} & + \includegraphics[width=5cm, valign=t]{images/dualSlope11} & $T_{int} = const$ \newline $V_{int}(t) = -\frac{1}{R_{int}\cdot C_i}\int_{0}^{t} (V_{in}(\tau) - V_{AGND})d\tau + V_{AGND}$\newline $V_{int}(T_{int}) = V_{AGND} - \frac{1}{R_{int} \cdot C_i} \cdot T_{int} \cdot (V_{in} - V_{AGND}) \quad \textrm{(Für $V_{in}=$ const.)}$ \\ - \includegraphics[width=4cm, valign=t]{pictures/dualSlope12} & + \includegraphics[width=3.5cm, valign=t]{images/dualSlope12} & \begin{tabular}{p{6cm}p{6cm}} \textbf{Integration:} & \textbf{Abintegration:} \\ @@ -143,7 +142,7 @@ \subsubsection{Dual Slope \hartl{492}} $ V_{int}(t) = V_{int_{max}} - \dfrac{V_{Ref}-V_{AGND}}{R_i \cdot C_i}\cdot t $ \end{tabular} \\ - \includegraphics[width=5cm, valign=t]{pictures/dualSlope2} & + \includegraphics[width=5cm, valign=t]{images/dualSlope2} & \begin{tabular}{p{4cm}p{7cm}} \textbf{Abintegrationszeit:} & \textbf{Auflösung in Bits:} \\ @@ -152,9 +151,9 @@ \subsubsection{Dual Slope \hartl{492}} $ n = \log _2 (\text{max Taktzyklen von Abintegration}) $ \\ \end{tabular} - $\frac{-V_{In}}{V_{Ref}} = \frac{n}{N} $ Sinusschwingungen mit einer Periodendauer gleich der Integrationszeit, werden herausgefiltert! + $\frac{-V_{In}}{V_{Ref}} = \frac{n}{N} $ Sinusschwingungen mit einer Periodendauer gleich der Integrationszeit werden herausgefiltert! \end{longtable} - \pagebreak + %\pagebreak \begin{longtable}{cp{12cm}} \begin{tabular}{ll} @@ -174,7 +173,7 @@ \subsubsection{Dual Slope \hartl{492}} \begin{longtable}{p{4cm}p{6cm}p{8cm}} \textbf{Offsetkompensation:} & - \includegraphics[width=6cm, valign=t]{pictures/offsetkompensation} & + \includegraphics[width=6cm, valign=t]{images/offsetkompensation} & \textbf{Möglichkeiten zur Korrektur:} \begin{itemize} \item 2.Referenzspannung $V_{Refp}$ einfügen @@ -185,8 +184,8 @@ \subsubsection{Dual Slope \hartl{492}} \subsubsection{Sigma-Delta Wandler \hartl{500}} \begin{longtable}{p{6cm}p{12cm}} - \includegraphics[width=5cm, valign=t]{pictures/deltaSigma1} \newline - \includegraphics[width=5cm]{pictures/deltaSigma3} & + \includegraphics[width=5cm, valign=t]{images/deltaSigma1} \newline + \includegraphics[width=5cm]{images/deltaSigma3} & \[Y(s)=\frac{X(s)-Y(s)}{s}+Q(s)\Rightarrow Y(s)=X(s)\frac{1}{1+s}+Q(s)\frac{s}{1+s}\] \newline \begin{tabular}{p{5cm}p{7cm}} \textbf{Signal UTF:} & @@ -205,10 +204,10 @@ \subsubsection{Sigma-Delta Wandler \hartl{500}} \end{longtable} %\begin{longtable}{cp{12cm}} - %\includegraphics[width=6cm, valign=t]{pictures/deltaSigma1} & + %\includegraphics[width=6cm, valign=t]{images/deltaSigma1} & %\[Y=\frac{X-Y}{s}+Q\Rightarrow Y=X\frac{1}{1+s}+Q\frac{s}{1+s}\] \\ % - %\includegraphics[width=6cm]{pictures/deltaSigma3} & + %\includegraphics[width=6cm]{images/deltaSigma3} & %\begin{tabular}{p{3cm}p{9cm}} %\textbf{Signal UTF:} & %\textbf{Noise UTF:} \\ @@ -229,11 +228,11 @@ \subsubsection{Sigma-Delta Wandler \hartl{500}} %\subsubsection{Spannungs- Frequenz- Umsetzer \hartl{495}} %\begin{multicols}{2} %\begin{center} - %\includegraphics[width=7cm]{pictures/sfu_kurven} + %\includegraphics[width=7cm]{images/sfu_kurven} %\end{center} % % - %\includegraphics[width=6cm]{pictures/sfu_schaltung} + %\includegraphics[width=6cm]{images/sfu_schaltung} % %\begin{align*} %V_{int}(t)=V_{in}+\frac{1}{RC}\int(V_{in}-V_{x})dt @@ -243,8 +242,8 @@ \subsubsection{Sigma-Delta Wandler \hartl{500}} %\subsubsection{Ladungs-Ausgleichs-Integrator \hartl{497}} - %\includegraphics[width=6cm, valign=t]{pictures/lsg1} \\ - %\includegraphics[width=6cm, valign=t]{pictures/lsg2} + %\includegraphics[width=6cm, valign=t]{images/lsg1} \\ + %\includegraphics[width=6cm, valign=t]{images/lsg2} %\begin{itemize} %\item Gleichgewichtsbedingung\\ %\begin{equation*} @@ -257,7 +256,7 @@ \subsubsection{Sigma-Delta Wandler \hartl{500}} \begin{multicols}{3} \subsubsection{Sigma-Delta Wandler 2. Ordnung} - \includegraphics[width=5.5cm, height =3.8cm]{pictures/deltaSigma2} + \includegraphics[width=5.5cm, height =3.8cm]{images/deltaSigma2} \columnbreak diff --git a/sections/DAWandler.tex b/sections/DAWandler.tex index 5514289..6d65711 100644 --- a/sections/DAWandler.tex +++ b/sections/DAWandler.tex @@ -4,9 +4,9 @@ \subsection{Wägeverfahren\hartl{461}} \begin{longtable}{|p{3cm}|c|p{8.6cm}|} \hline \textbf{Spannungs"-summierung \hartl{461}} - & \includegraphics[width=3.5cm, valign=t]{./pictures/spannungssummierung.png} + & \includegraphics[width=3.5cm, valign=t]{./images/spannungssummierung.png} & {\begin{align*} - V_{Out} &= \frac{B0\cdot 2^0 + B1 \cdot 2^1+ \ldots + B(n-1)\cdot 2^{n-1}}{2n} \\ + V_{Out} &= \frac{B0\cdot 2^0 + B1 \cdot 2^1+ \ldots + B(n-1)\cdot 2^{n-1}}{2^n} \\ & \cdot (V_{Refp}-V_{Refn}) + V_{Refn} \end{align*}} @@ -17,13 +17,13 @@ \subsection{Wägeverfahren\hartl{461}} \\ \hline \textbf{Wägeverfahren mit Ausgangstreiber} \newline (Summation gewichteter Ströme) - & \includegraphics[width=5cm, valign=t]{./pictures/praktisch.png} + & \includegraphics[width=5cm, valign=t]{./images/praktisch.png} & \[ Idac_{max}=\frac{V_{Refp}-V_{Refn}}{R} \cdot \frac{2^n-1}{2^n} \] \newline - Vout und Idac\_inv sind differentiel zu einander, dadurch fliesst immer der gleiche Strom + Vout und Idac\_inv sind differentiell zueinander, dadurch fliesst immer der gleiche Strom und der Offsetfehler bleibt konstant. \\ \hline \textbf{R-2R-Netzwerk \hartl{462}} Multiplizierende Wandler wandeln die Referenzspannung in Ströme um. - & \includegraphics[width=5.5cm, valign=t]{./pictures/r2rnetzwerk.png} + & \includegraphics[width=5.5cm, valign=t]{./images/r2rnetzwerk.png} & { \begin{align*} V_{out,max} &= V_{Refn} \\ @@ -39,7 +39,7 @@ \subsection{Wägeverfahren\hartl{461}} \\ \hline \textbf{R-2R-Netzwerk} - & \includegraphics[width=5cm, valign=t]{pictures/r2r.png} + & \includegraphics[width=5cm, valign=t]{images/r2r.png} & { \begin{align*} V_{out}&= \frac{V_{ref}}{2^n} + \frac{R_L}{R_L + R} \cdot D @@ -47,7 +47,7 @@ \subsection{Wägeverfahren\hartl{461}} \\ \hline \textbf{Kapazitiver DAC (Charge Scaling)} - & \includegraphics[width=6cm, valign=t]{./pictures/kapazitiverDAC.png} + & \includegraphics[width=6cm, valign=t]{./images/kapazitiverDAC.png} & { \textbf{ Vorteil:} Man kann bis zur angelegten Referenzspannung durchschalten \newline \begin{align*} C1 &= B3 \cdot 8C+B2 \cdot 4C+ B1 \cdot 2C+B0 \cdot C \\ @@ -57,7 +57,7 @@ \subsection{Wägeverfahren\hartl{461}} \end{align*}} \\ \hline \textbf{Kapazitiver DAC mit Ausgangstreiber} - & \includegraphics[width=6cm, valign=t]{./pictures/kapazitiverDACmitAmp.png} + & \includegraphics[width=6cm, valign=t]{./images/kapazitiverDACmitAmp.png} & {Wenn z.B. B3 auf $V_{Ref1}$ geschaltet wird:\newline \begin{align*} Q_{C3} &= C_3 \cdot \Delta U = C_3 \cdot (V_{Ref1}-V_{Ref2})\\ @@ -72,7 +72,7 @@ \subsection{Zählverfahren (PWM)\hartl{466}} \begin{longtable}{|>{\bfseries}p{4cm}|l|p{8cm}|} \hline Grundprinzip \hartl{466} - & \includegraphics[width=6cm, valign=t]{./pictures/pwm_DAC.png} + & \includegraphics[width=6cm, valign=t]{./images/pwm_DAC.png} & $ V_{Out}=\frac{D}{2^n} \cdot (V_{Refp}-V_{Refn})+V_{Refn} $ \newline \begin{tabular}{lp{5cm}} \textbf{Vorteile:} @@ -100,15 +100,15 @@ \subsection{Parallelverfahren} \begin{longtable}{|>{\bfseries}p{3cm}|c|p{7.6cm}|} \hline Strom-DAC\hartl{456} - & \includegraphics[width=7cm, valign=t]{pictures/Strom-DAC} + & \raisebox{-.2\totalheight}{\includegraphics[width=7cm, valign=t]{images/Strom-DAC}} & {\begin{align*} K &=2^N-1 \qquad I_{out} = D \cdot I = D \cdot \frac{V_{Ref}}{R}\\ I &=\frac{V_{Ref}}{R} \qquad \text{(von einer Quelle)} \end{align*}} - \begin{tabular}{lp{5cm}} - K: & Anzahl Stromquellen \\ - D: & Eingangswert (Anzahl Schalter die aktiv sind.) \\ + \begin{tabular}{lp{5.8cm}} + K: & Anz. Stromquellen \\ + D: & Eingangswert (Anz. aktive Schalter) \\ \multicolumn{2}{l}{Schaltereigenschaften:}\\ On: & kein Spannungsabfall \\ Off: & kein Strom @@ -119,24 +119,24 @@ \subsection{Parallelverfahren} \end{description} \\ \hline String DAC (Voltage Scaling) \hartl{459} - & \includegraphics[width=5.5cm, valign=t]{pictures/string_DAC} + & \raisebox{-.1\totalheight}{\includegraphics[width=5.5cm, valign=t]{images/string_DAC}} & \begin{description} \item[Vorteile: ] garantierte Stetigkeit \item[Nachteile:] benötigt $2^n$ Widerstände und $2^n$ Schalter, n-to-$2^n$ Decoder(linke Variante), - er darf nicht belastet werden und hat ein grosser Schaltungsaufwand. + er darf nicht belastet werden und hat grossen Schaltungsaufwand. \end{description} {\begin{align*} V_{Out_{ideal}}(D) = \frac{D}{2^n}(V_{Refp}-V_{Refn})+V_{Refn}\\ V_{Out_{real}}(D) = V_{Refn}+\left(V_{Refp}-V_{Refn}\right)\cdot\\ \cdot\frac{D \cdot R_{Load}}{2^n \cdot R \cdot D-R \cdot D^2 + 2^n (R_{Load} + R_{Switch}) }\\ - DAC_{error}(D)=\frac{V_{Out_{real}}(D)-V_{Out_{ideal}}(D)}{V_{Out_{ideal}}(D)}\\ + DAC_{error}(D)=\frac{V_{Out_{real}}(D)-V_{Out_{ideal}}(D)}{V_{Out_{ideal}}(D)} \end{align*}} \\ \hline Segmented String DAC \hartl{459} - & \includegraphics[width=5cm, height = 3cm, valign=t]{pictures/segmented_string_DAC} + & \raisebox{-.1\totalheight}{\includegraphics[width=5.6cm, height = 4cm, valign=t]{images/segmented_string_DAC}} & \begin{description} \item[Vorteile: ] viel weniger Elemente \item[Nachteile:] benötigt Buffer (offset-frei) @@ -154,36 +154,35 @@ \subsection{Weitere DAC} \begin{longtable}{|>{\bfseries}p{4cm}|c|p{8cm}|} \hline Kaskadierte DAC - & \includegraphics[width=6cm, valign=t]{./pictures/kaskadiertDAC.png} + & \includegraphics[width=5cm, valign=t]{./images/kaskadiertDAC.png} & \begin{itemize} - \item MS-DAC hat 2 Ausgangsspannungen (Über und unter dem gewünschten + \item MS-DAC hat 2 Ausgangsspannungen (Über und unter gewünschtem $V_{Out}$) - \item LS-DAC hat kleine Eingangspannungsdifferenz $\to$ höhere Auflösung der - Spannung + \item LS-DAC hat kleine Eingangsspannungsdifferenz $\to$ höhere Auflösung der Spannung \end{itemize} \\ \hline Zyklisch, algorithmischer DAC \hartl{466} - & \includegraphics[width=6cm, valign=t]{./pictures/zyklischDAC.png} + & \includegraphics[width=6cm, valign=t]{./images/zyklischDAC.png} & \textbf{Ablauf der Wandlung} \begin{enumerate} - \item Die Spannung im S/H löschen (Schalter S1), S3 offen) + \item Spg. im S/H löschen (Schalter S1), S3 offen \item S1 auf den Verstärker-Ausgang schalten \item Laufvariale k wird auf 0 gesetzt \item S2 setzen: VREF oder GND ( abh. $D_{K}$). - \item Der Addierer und Verstärker generieren Ausgangssignal - \item Im S/H wird die Feedback-Spannung gespeichert (S1) + \item Addierer und Verstärker generieren Ausgangssignal + \item Im S/H wird Feedback-Spannung gespeichert (S1) \item X wird um 1 erhöht \item Gehe zu Schritt 4, wenn $X\leq n$ \end{enumerate} \\ \hline Pipelined DAC - & \includegraphics[width=6cm, valign=t]{pictures/piplinedDAC} + & \includegraphics[width=6cm, valign=t]{images/pipelinedDAC} & $V_{Out} = (D_0 \cdot 2^{-n} + D_1 \cdot 2^{1-n} + ... + D_{n-1} \cdot 2^{-1})\cdot V_{Ref}$\newline\newline Die Latenz beträgt n Zyklen, die Update-Frequenz ist aber n-mal grösser, da die Blöcke n-fach vorliegen.\newline LSB ($\mathrm{D_0}$): $\mathrm{V_{Ref}}$ wird n-mal halbiert \\ \hline Strom-DAC - & \includegraphics[width=6cm, valign=t]{pictures/stromDAC} + & \includegraphics[width=6cm, valign=t]{images/stromDAC} & \begin{itemize} \item Stromspiegel \item MP0 ist gleich breit wie Stromquellen-MOS $\to \mathrm{I(MP0)=I_{Ref}} \qquad$ MP0: Einheitstransistor @@ -198,7 +197,7 @@ \subsection{Spezielle Wandler} \begin{longtable}{|>{\bfseries}p{4cm}|c|p{8cm}|} \hline Digitales Potentiometer \hartl{460} - & \includegraphics[width=5cm, valign=t]{pictures/digitales_potentiometer} + & \includegraphics[width=5cm, valign=t]{images/digitales_potentiometer} & \begin{itemize} \item automatisierter Elektronik-Test möglich \item D (digitale Wert) wird im PROM gespeichert @@ -211,14 +210,14 @@ \subsection{Spezielle Wandler} % z.B R2R-Netzwerk \\ \hline DAC mit Exponentieller Funktion - &\includegraphics[width=6cm, valign=t]{pictures/DAC_exp.png} + &\includegraphics[width=6cm, valign=t]{images/DAC_exp.png} & \\ \hline \end{longtable} \subsection{Ausgangsverstärker} \begin{minipage}{7cm} - \includegraphics[width=6.5cm]{pictures/Ausgangsverstaerker.png} + \includegraphics[width=6.5cm]{images/Ausgangsverstaerker.png} \end{minipage} \begin{minipage}{12cm} $C_{Filter}$ dämpft Glitches beim Umschalten des Digitalwertes. diff --git a/sections/PCBs.tex b/sections/PCBs.tex index a89672f..734b998 100644 --- a/sections/PCBs.tex +++ b/sections/PCBs.tex @@ -3,7 +3,7 @@ \section{PCBs, Printed Circuit Boards} \begin{longtable}{|>{\bfseries}p{3cm}|c|p{11.2cm}|} \hline Kapazität \newline einer Leiterbahn\newline $\epsilon_r(FR4) = 4.7$ - & \includegraphics[width=4cm, valign=t]{pictures/PCBCapacity.png} + & \includegraphics[width=4cm, valign=t]{images/PCBCapacity.png} & {\vspace{-1.8\topsep} \begin{align*} \intertext{Plattenkapazität:} @@ -21,7 +21,7 @@ \section{PCBs, Printed Circuit Boards} % ---------------------------------------------------------------------------------------------------- Induktivität \newline einer Leiterbahn & ca $5nH / cm$ - & {\newline + & {%\newline $L = l \cdot\left( \ln\left( \frac{2l}{w + h}\right) + 0.2235 \cdot \frac{w + h}{l} + 0.5\right) \cdot 200\frac{\mathrm{nH}}{\mathrm{m}}$ \newline } diff --git a/sections/Spannungs-Referenzen.tex b/sections/Spannungs-Referenzen.tex deleted file mode 100644 index 47d2bae..0000000 --- a/sections/Spannungs-Referenzen.tex +++ /dev/null @@ -1,138 +0,0 @@ -\section{Wandler} - -\subsection{Kennlinien\hartl{432}} -\begin{tabular}{|p{5.5cm}|c|c|} %>{\bfseries}p{0.25\textwidth}|c|c|} - \hline - & \textbf{ADC} & \textbf{DAC} - \\ \hline - \textbf{Kennlinien idealer Wandler} - & \parbox[c][6cm]{0.31\textwidth}{\includegraphics[height=5.9cm]{./pictures/idealerADC.jpg}} - & \parbox[c]{0.31\textwidth}{\includegraphics[width=0.31\textwidth]{./pictures/idealerDAC.png}} - \\ \hline - \textbf{Quantisierungsintervall} - & $q = \frac{A_{max}}{2^N} = \frac{V_{Refp}-V_{Refn}}{2^N}$ - & $q = \frac{A_{Ref}}{2^N} = \frac{V_{Refp}-V_{Refn}}{2^N} = 1LSB $ - \\ \hline - \textbf{Quantisierungsfehler} - & $ -\frac{q}{2}\leq E_{q}<+\frac{q}{2} $ - & - \\ \hline - \textbf{Ausgangsgrösse} - & $D_{out} = \frac{V_{in} - V_{Refn}}{q} = \frac{V_{in} - V_{Refn}}{V_{Refp}-V_{Refn}} \cdot 2^{N}$ - & $V_{out} = D_{in}\cdot q + V_{Refn}= D_{in}\cdot(\frac{A_{Ref}}{2^N}) + V_{Refn}$ - \\ \hline - \textbf{Offset-Fehler \hartl{434}} - & \includegraphics[height=3cm, trim=0cm 0cm 6.2cm 6.5cm, clip=true, valign=t]{./pictures/EoffADC.png} - & \includegraphics[height=3cm, trim=0cm 0cm 6cm 6.5cm, clip=true, valign=t]{./pictures/EoffDAC.png} - \\ \hline - \textbf{Verstärkungsfehler \hartl{436}} - & \includegraphics[height=3.8cm, valign=t]{./pictures/verstaerkungsfehlerADC.png} - & \includegraphics[height=3.8cm, valign=t]{./pictures/verstaerkungsfehlerDAC.png} - \\ \hline - \textbf{Differentielle Nichtlinearität DNL \hartl{437}} \newline \newline - $DNL_n$ = (Spannungsinkrement bei einem Eingangsschritt von $n-1$ nach $n$) - - (ideales Spannungsinkrement q) in LSB - & \includegraphics[height=3.8cm, valign=t]{./pictures/DNL_ges.png} - & \includegraphics[height=3.8cm, valign=t]{./pictures/DNL_DAC.png} - \\ \hline - \textbf{Integrale Nichtlinearität INL \hartl{439}} \newline \newline - Die INL bezeichnet die max. Abweichung der Ausgangskurve von der Idealen Gerade. - & \includegraphics[height=4cm, valign=t]{./pictures/INL_ADC.png} - & \includegraphics[height=4cm, valign=t]{./pictures/INL_DAC.png} - \\ \hline -\end{tabular} - - -\subsection{Eigenschaften und Fehler bei dynamischen Signalen\hartl{442}} - -\begin{tabular}{l p{11cm}} - \textbf{SFDR (Spurios Free Dynamic Range):} & - Abstand von der Grundwelle zum höchsten Peak der Harmonischen. \\ - \textbf{Verzögerungszeit (Settling Time):} & - Zeit vom Anlegen des Signals bis das Signal innerhalb vom Fehlerband ist und nicht mehr hinaus geht. -\end{tabular} - - -\subsubsection{Aperturfehler\hartl{442}} -Bei einer periodischen Abtastung eines Signals ist immer ein gewisse zeitliche -Unsicherheit im Abtastzeitpunkt (Aperturunsicherheit) gegeben. Ist der Aperturfehler grösser als der maximal -auftretende Quantisierungsfehler ($\frac{1}{2}LSB$) so verschlechtert sich die Auflösung des Umsetzers. - -\subsubsection{Jitterfehler} -\begin{longtable}[c]{ l l l l } -\begin{minipage}{4cm} - - \includegraphics[scale=0.45]{pictures/aperturfehlercos} - -\end{minipage} -& -\begin{minipage}{3cm} - - \includegraphics[scale=0.5]{pictures/aperturfehler} -\end{minipage} -& -\begin{minipage}{5cm} -\begin{gather*} -x(t)=V_0\sin(2\pi ft)\\ -\dot{x}(t)=2\pi fV_0\cos(2\pi t)\\ -max\mid\dot{x}(t)\mid= 2\pi fV_0 \\ -E_{A}=2\pi fV_0T_{A}\\ -2V_0=A_{Ref}\\ -E_{A}2f_{max}$ - & $f_{s}$: Abtastfrequenz - &$f_{max}$:max. Frequenz des Signals -\end{tabular} - -%\subsection{Lineares Modell der Quantisierung\hartl{448}} -%\subsubsection{Signal-Rausch-Verhältnis\hartl{450}} -%\begin{multicols}{2} -%\begin{align*} -%P_{Sig} &= S^2_{Eff} = \frac{S^2}{2} = \frac{(\frac{A_{Ref}}{2})^2}{2} = \frac{A^2_{Ref}}{8}\\ -%P^2_{N} &= \frac{q^2}{12} = \frac{(\frac{A_{Ref}}{2^N})}{12} = \frac{A^2_{Ref}}{12\cdot2^{2N}}\\ -%SNR &= \frac{P^2_{S}}{P^2_{N}} = \frac{\frac{A^2_{Ref}}{8}}{\frac{A^2_{Ref}}{12\cdot2^{2N}}} = \frac{12\cdot2^{2N}}{8} = 3\cdot2^{2N-1}\\ -%SNR_{dB}&= 10\log(3\cdot2^{2N-1}) = 6.02N+1.76dB\\ -%ENOB &= \frac{SNR_{dB}-1.76}{6.02} -%\end{align*} -% -%\begin{tabular}{ll} -%$P_{Sig}$:&Signalleistung\\ -%SNR:&Signal-Rausch-Verhältnis\\ -%$SNR_{dB}$:&Signal-Rausch-Verhältnis in dB\\ -%ENOB:&Effektive Anzahl Bits\\ -%\end{tabular} -%\end{multicols} \ No newline at end of file diff --git a/sections/filter.tex b/sections/filter.tex index c49e03d..09329b1 100644 --- a/sections/filter.tex +++ b/sections/filter.tex @@ -3,7 +3,7 @@ \section{Filter\hartl{509}} \begin{longtable}{|>{\bfseries}p{3cm}|c|p{10cm}|} \hline 1. Ordnung - & \includegraphics[width=4cm, valign=t]{pictures/tiefpass1ordnung} + & \includegraphics[width=4cm, valign=t]{images/tiefpass1ordnung} & {\textbf{UTF: } $G(s): \frac{1}{1+s C\cdot R} = \frac{1}{1+ j\cdot \frac{\omega}{\omega_{3dB}}}$\newline $f_{3dB}=\frac{1}{2\pi R\cdot C}$\newline Bei $\omega=\omega_{3dB}=\frac{1}{\tau}$ sind Real- und Imaginärteil gleich gross: @@ -15,7 +15,7 @@ \section{Filter\hartl{509}} {2. Ordnung\newline (kaskadierte RC-Tiefpässe) } - & \includegraphics[width=6cm,angle=90, valign=t]{pictures/tiefpass2ordnung} + & \includegraphics[width=6cm,angle=90, valign=t]{images/tiefpass2ordnung} & {$G(s) = \left(\frac{1}{1+sRC}\right)^2 = \left(\frac{1}{1+sT}\right)^2$ \newline $T = \frac{\sqrt{\sqrt{2}-1}}{2\pi \cdot f_g}$ \newline $G_{p}(s)= \frac{U_{out}}{U_{in}} = @@ -58,7 +58,7 @@ \section{Filter\hartl{509}} \end{longtable} \begin{minipage}{0.49\textwidth} -\includegraphics[width = 0.99\textwidth]{pictures/filter.png} +\includegraphics[width = 0.99\textwidth]{images/filter.png} \end{minipage} \begin{minipage}{0.49\textwidth} $ @@ -96,7 +96,7 @@ \section{Filter\hartl{509}} G = \dfrac{\frac{-R_1}{R_0\cdot(C_1\cdot R_1\cdot s+1)}\cdot \frac{-1}{C_2\cdot R_2\cdot s}\cdot \frac{-R_4}{R_3}}{1-\left(\frac{-R_1}{R_5\cdot(C_1\cdot R_1\cdot s+1)}\cdot \frac{-1}{C_2\cdot R_2\cdot s}\cdot \frac{-R_4}{R_3}\right)} \] \[ -G = \frac{R_1\cdot R_4\cdot R_5}{R_0\cdot \left(C_1C_2R_1R_2R_3R_5 s^2 + C_2R_2R_3R_5 s + R_1R_4\right)} +G = \frac{-R_1\cdot R_4\cdot R_5}{R_0\cdot \left(C_1C_2R_1R_2R_3R_5 s^2 + C_2R_2R_3R_5 s + R_1R_4\right)} \] \end{minipage} @@ -104,9 +104,9 @@ \section{Filter\hartl{509}} \begin{enumerate} \itemsep0em \item Einzelne Übertragungsfunktionen aufstellen -\item Gesammtgain mittels Mason bestimmen +\item Gesamtgain mittels Mason bestimmen \item Kürzen -\item Wenn gefragt Gain bei DC und $\omega \rightarrow \infty$ bestimmen +\item Wenn gefragt: Gain bei DC und $\omega \rightarrow \infty$ bestimmen \end{enumerate} \pagebreak \begin{longtable}{|>{\bfseries}p{3cm}|c|p{10cm}|} @@ -121,7 +121,7 @@ \section{Filter\hartl{509}} (Einfachmit-kopplung)\newline \hartl{517} } - & \includegraphics[width=6cm, angle = 270,valign=t]{./pictures/sallenkey.png} + & \includegraphics[width=6cm, angle = 270,valign=t]{./images/sallenkey.png} & {\textbf{ Standard Sallen Key}\newline Stromgleichungen:\newline $0 = (U_2-U_{in})\cdot \frac{1}{R_1}+(U_2-U_3)\cdot \frac{1}{R_2}+(U_2-U_{out})\cdot s C_1$ \newline @@ -137,7 +137,7 @@ \section{Filter\hartl{509}} Die Güte kann mit $G_0$ beeinflusst werden. SK-Filter sind für grosse Güten nicht geeignet. } \\ - & \includegraphics[width=4cm, valign=t]{./pictures/sallenkey2.png} + & \includegraphics[width=4cm, valign=t]{./images/sallenkey2.png} & {\textbf{ für hohe Frequenzen}\newline \vspace{-1.5\topsep} \begin{itemize}[leftmargin=*] @@ -158,7 +158,7 @@ \section{Filter\hartl{509}} {Multiple Feedback\newline \hartl{522} } - & \includegraphics[width=4cm, valign=t]{./pictures/mulipleFeedback.png} + & \includegraphics[width=4cm, valign=t]{./images/mulipleFeedback.png} & {Stromgleichungen: (Opamp sorgt für $U_3=0$)\newline $0 =(U_2-U_{in})\cdot \frac{1}{R_1}+(U_2-U_{out})\cdot \frac{1}{R_2}+(U_2-U_3)\cdot \frac{1}{R_3}+U_2\cdot s C_1$\newline $0 =(U_3-U_2)\cdot \frac{1}{R_3}+(U_3-U_{out})\cdot s C_2$\newline\newline @@ -170,7 +170,7 @@ \section{Filter\hartl{509}} % ---------------------------------------------------------------------------------------------------- {Zustandsvariab-len-Filter } - & \includegraphics[width=8cm, valign=b,angle=270]{./pictures/zustandsvariable.png} + & \includegraphics[width=8cm, valign=b,angle=270]{./images/zustandsvariable.png} & {Spannungsgleichungen:\newline \begin{align*} V{out} &=-\frac{1}{s C_{i2}\cdot R_{i2}}\cdot V_{opo2}\\ diff --git a/sections/opampsAC.tex b/sections/opampsAC.tex index 145b011..1b0a1fe 100644 --- a/sections/opampsAC.tex +++ b/sections/opampsAC.tex @@ -22,11 +22,11 @@ \subsection{Open-Loop/Closed-Loop Verhalten} \hline \vspace{-7mm} \begin{center} - \includegraphics[height=2cm, valign=t]{./pictures/opAmpOL.png} + \includegraphics[height=2cm, valign=t]{./images/opAmpOL.png} \end{center} & \vspace{-7mm} \begin{center} - \includegraphics[height=2cm, valign=t]{./pictures/opAmpCL.png} + \includegraphics[height=2cm, valign=t]{./images/opAmpCL.png} \end{center}\\ \hline \multicolumn{2}{|c|}{\textbf{Frequenzgänge}}\\ @@ -43,7 +43,7 @@ \subsection{Open-Loop/Closed-Loop Verhalten} \\ \\ \begin{minipage}{0.49\textwidth} Durch das Schliessen des Loops wird die Bandbreite vergrössert, das gain-bandwidth-product(GBP) bleibt jedoch konstant. Die Verstärkung wird jedoch um $T_{s0}(s)$ (Linearer Loop Gain) reduziert. Der Phasengang wird durch das Verschieben des ersten Poles auch verändert, wie folgende Grafik zeigt. -\includegraphics[width=0.7\textwidth, valign=t]{./pictures/AolAcl.png} +\includegraphics[width=0.7\textwidth, valign=t]{./images/AolAcl.png} \end{minipage} \begin{minipage}{0.49\textwidth} @@ -56,7 +56,7 @@ \subsection{Stabilität des Systems} Die UTF ist dann stabil, wenn sie nie $\infty$ wird d.h der Nenner darf nie 0 werden. \begin{center} - \includegraphics[width=4cm, valign=t]{pictures/margins.png} + \includegraphics[width=4cm, valign=t]{images/margins.png} \end{center} \end{minipage} diff --git a/sections/passiveElemente.tex b/sections/passiveElemente.tex index 7be0c7f..1c8c086 100644 --- a/sections/passiveElemente.tex +++ b/sections/passiveElemente.tex @@ -3,7 +3,7 @@ \section{Passive Elemente} \begin{longtable}{|>{\bfseries}p{3cm}|c|p{10cm}|} \hline Widerstand - & \includegraphics[width=4cm, valign=t]{pictures/widerstand.png} + & \includegraphics[width=4cm, valign=t]{images/widerstand.png} & {$R=\rho \cdot \frac{l}{w\cdot d}$ \qquad $\rho$: Spezifischer Widerstand } \\ \hdashline @@ -32,10 +32,26 @@ \section{Passive Elemente} $\mathrm{R_R}$: NTC-Widerstand bei definierter Temperatur $\mathrm{T_R}$ in Kelvin\newline } + \\ \hline + % ---------------------------------------------------------------------------------------------------- + Induktivität + & \includegraphics[width=4cm, valign=t]{images/induktivitaet.png} + & {\begin{align*} + L &=N^2\cdot\frac{\mu_{0}\mu_{r}A}{2\pi r} \qquad \text{Ringspule} \\ + L &=N^2\cdot\frac{\mu_{0}\mu_{r}A}{l} \qquad \text{Zylinderspule} \\ + L &=\frac{N\cdot\Phi}{I} \qquad \qquad u_{i} =-N\cdot\frac{d\Phi}{dt}\\ + \intertext{\textbf{Ladevorgang:}} + i_{\mathrm{L}} (t) &= I_0 \cdot \left( 1 - e^{-\frac{t}{\tau}}\right) = \frac{U_0}{R} \cdot \left( 1 -e^{-t\cdot \frac{R}{L}}\right) \\ + u_{\mathrm{L}} (t) &= \hat u \cdot e^{-\frac{t}{\tau}} = \hat u \cdot e^{-t \cdot\frac{R}{L}}\\ + \intertext{\textbf{Entladevorgang:}} + i_{\mathrm{L}} (t) &= I_0 \cdot e^{- \frac{t}{\tau}} = \frac{U_0}{R} \cdot e^{- t \cdot\frac{R}{L}}\\ + u_{\mathrm{L}} (t) &= - \hat u \cdot e^{- \frac{t}{\tau}} = - \hat u \cdot e^{- t \cdot\frac{R}{L}} + \end{align*} + } \\ \hline % ---------------------------------------------------------------------------------------------------- Kondensator - & \includegraphics[width=4cm, valign=t]{pictures/kapazitaetswert.png} + & \includegraphics[width=4cm, valign=t]{images/kapazitaetswert.png} & {$C=\varepsilon_{r}\cdot \varepsilon_{0}\cdot \frac{W\cdot L}{d}=\varepsilon_{r}\cdot \varepsilon_{0}\cdot \frac{A}{d}$ \qquad $\varepsilon_{0}= 8.85 pF/m$\newline \newline \begin{align*} @@ -44,8 +60,12 @@ \section{Passive Elemente} i_{\mathrm{C}} (t) &= \frac{U_0}{R} \cdot e^{- \frac{t}{\tau}} = I_0 \cdot e^{- \frac{t}{R \cdot C}}\\ \intertext{\textbf{Entladevorgang:}} u_{\mathrm{C}} (t) &= U_0 \cdot e^{- \frac{t}{\tau}} = U_0 \cdot e^{-\frac{t}{R \cdot C}}\\ - i_{\mathrm{C}} (t) &= -\frac{U_0}{R} \cdot e^{- \frac{t}{\tau}} = - I_0 \cdot e^{-\frac{t}{R \cdot C}} - \end{align*} \newline + i_{\mathrm{C}} (t) &= -\frac{U_0}{R} \cdot e^{- \frac{t}{\tau}} = - I_0 \cdot e^{-\frac{t}{R \cdot C}}\\ + \intertext{\textbf{Resonanzfrequenz:}} + f &=\frac{1}{2\pi \sqrt{LC}}\\ + \intertext{\textbf{Frequenzgang:}} + |Z| &= \sqrt{(|X_C|-|X_L|)^2 +|R_{ESR}|^2} + \end{align*} \textbf{Dielektrizitätsklassen:}\newline \begin{tabular}{|p{2cm}|l|p{2cm}|p{2cm}|} \hline @@ -75,22 +95,6 @@ \section{Passive Elemente} \end{tabular} } \\ \hline - % ---------------------------------------------------------------------------------------------------- - Induktivität - & \includegraphics[width=4cm, valign=t]{pictures/induktivitaet.png} - & {\begin{align*} - L &=N^2\cdot\frac{\mu_{0}\mu_{r}A}{2\pi r} \qquad \text{Ringspule} \\ - L &=N^2\cdot\frac{\mu_{0}\mu_{r}A}{l} \qquad \text{Zylinderspule} \\ - L &=\frac{N\cdot\Phi}{I} \qquad \qquad u_{i} =-N\cdot\frac{d\Phi}{dt}\\ - \intertext{\textbf{Ladevorgang:}} - i_{\mathrm{L}} (t) &= I_0 \cdot \left( 1 - e^{-\frac{t}{\tau}}\right) = \frac{U_0}{R} \cdot \left( 1 -e^{-t\cdot \frac{R}{L}}\right) \\ - u_{\mathrm{L}} (t) &= \hat u \cdot e^{-\frac{t}{\tau}} = \hat u \cdot e^{-t \cdot\frac{R}{L}}\\ - \intertext{\textbf{Entladevorgang:}} - i_{\mathrm{L}} (t) &= I_0 \cdot e^{- \frac{t}{\tau}} = \frac{U_0}{R} \cdot e^{- t \cdot\frac{R}{L}}\\ - u_{\mathrm{L}} (t) &= - \hat u \cdot e^{- \frac{t}{\tau}} = - \hat u \cdot e^{- t \cdot\frac{R}{L}} - \end{align*} - } - \\ \hline \multicolumn{2}{|c}{\input{tikz/ersatz_schalt_kondensator}} & \multicolumn{1}{|c|}{\input{tikz/ersatz_schalt_spule}}\\ \multicolumn{2}{|c}{Ersatzschaltung Kondensator} diff --git a/sections/rauschen.tex b/sections/rauschen.tex index 0e89413..d2b2ab6 100644 --- a/sections/rauschen.tex +++ b/sections/rauschen.tex @@ -112,7 +112,7 @@ \section{Rauschen} \\ \hline \multicolumn{3}{|l|}{\textit{Strom- und Spannungsrauschen}} \\ \hdashline - \includegraphics[width=4cm, valign=t]{pictures/widerstandrauschen.png} + \includegraphics[width=4cm, valign=t]{images/widerstandrauschen.png} & { \vspace{-1.8\topsep} \begin{align*} S_{noise}(R) &=4kTR \qquad [\mathrm{V^2/Hz}]\\ @@ -149,7 +149,7 @@ \section{Rauschen} \hline \multicolumn{3}{|l|}{\textit{Spannungsteiler}} \\ \hdashline - \includegraphics[width=4cm, valign=t]{pictures/RauschenSpannungsteiler.png} + \includegraphics[width=4cm, valign=t]{images/RauschenSpannungsteiler.png} & {\begin{align*} \intertext{Superposition der einzelnen Spannungsquellen} V_{out}(V_{in}) &= V_{in} \cdot \frac{R_2}{R_1 + R_2}\\ @@ -166,8 +166,8 @@ \section{Rauschen} \end{align*} } \\ \hdashline - \includegraphics[width=2.8cm, valign=t]{pictures/seriewiderstand1.png}\newline - \includegraphics[width=2.5cm]{pictures/seriewiderstand2.png} + \includegraphics[width=2.8cm, valign=t]{images/seriewiderstand1.png}\newline + \includegraphics[width=2.5cm]{images/seriewiderstand2.png} & {Quellenumwandlung machen und dann Rauschen über Ersatzwiderstand ($R_T$) bestimmen.\newline } & { @@ -227,7 +227,7 @@ \section{Rauschen} \hline \multicolumn{3}{|l|}\textbf{ Berechnung der Rausch-Spannung (am Beispiel von Tiefpass 1. Ordnung)} \\ \hdashline - \includegraphics[width=4cm, valign=t]{pictures/RauschenTiefpass.png} + \includegraphics[width=4cm, valign=t]{images/RauschenTiefpass.png} & {\vspace{-1.5\topsep} \begin{align*} e_{on} &= \sqrt{\int_{0}^{\infty} \left| A_{n(f)}\right| ^2 e_{in}^2 \, df}\\ @@ -258,9 +258,9 @@ \section{Rauschen} \hline \multicolumn{2}{|l|}\textbf{ Rauschen in Opamps} \\ \hdashline - \includegraphics[width=4cm, valign=t]{pictures/NoiseCornerFreq.png}\newline \vspace{0.5cm}\newline - \includegraphics[width=4cm]{pictures/oampnoise.png} \newline \vspace{0.5cm} \newline - \includegraphics[width=4cm]{pictures/RauschenSummierer} + \includegraphics[width=4cm, valign=t]{images/NoiseCornerFreq.png}\newline \vspace{0.5cm}\newline + \includegraphics[width=4cm]{images/opampnoise.png} \newline \vspace{0.5cm} \newline + \includegraphics[width=4cm]{images/RauschenSummierer} &{\textbf{Vorgehen zur Bestimmung der Rauschspannung:} \begin{enumerate} \setlength{\itemsep}{4pt} diff --git a/sections/referenzspannungen.tex b/sections/referenzspannungen.tex index dd52d5d..9731c09 100644 --- a/sections/referenzspannungen.tex +++ b/sections/referenzspannungen.tex @@ -27,11 +27,11 @@ \subsection{Temperaturdrift von Referenzspannungen} \vspace*{0.1cm}\begin{minipage}[t]{12cm} \subsection{Varianten von Referenzspannungen bei Wandlern} - \includegraphics[scale=0.3]{pictures/variantenReferenzspannungen} + \includegraphics[scale=0.3]{images/variantenReferenzspannungen} \end{minipage} \begin{minipage}[t]{6cm} \subsection{Typ. Temperaturdrifts} - \includegraphics[scale=0.3]{pictures/typTempDrift.png} + \includegraphics[scale=0.3]{images/typTempDrift.png} \end{minipage} %\subsection{Verschiedene Arten der Rerferenzspannungserzeugung\hartl{276}} %\begin{longtable}{|l|l|l|} @@ -41,7 +41,7 @@ \subsection{Temperaturdrift von Referenzspannungen} %\end{minipage} %& %\begin{minipage}{6cm} -%\includegraphics[width=6cm, height = 4cm]{pictures/spannungsteiler} +%\includegraphics[width=6cm, height = 4cm]{images/spannungsteiler} %\end{minipage} %& %\begin{minipage}{8cm} @@ -60,7 +60,7 @@ \subsection{Temperaturdrift von Referenzspannungen} %\end{minipage} %& %\begin{minipage}{6cm} -%\includegraphics[width=6cm, height = 4cm]{pictures/diodenReferenz} +%\includegraphics[width=6cm, height = 4cm]{images/diodenReferenz} %\end{minipage} %& %\begin{minipage}{8cm} @@ -77,7 +77,7 @@ \subsection{Temperaturdrift von Referenzspannungen} %\end{minipage} %& %\begin{minipage}{6cm} -%\includegraphics[width=4cm, height = 4cm]{pictures/mosfetReferenz} +%\includegraphics[width=4cm, height = 4cm]{images/mosfetReferenz} %\end{minipage} %& %\begin{minipage}{8cm} @@ -92,7 +92,7 @@ \subsection{Temperaturdrift von Referenzspannungen} %\end{minipage} %& %\begin{minipage}{6cm} -%\includegraphics[width=6cm, height = 4cm]{pictures/bootstrapReferenz} +%\includegraphics[width=6cm, height = 4cm]{images/bootstrapReferenz} %\end{minipage} %& %\begin{minipage}{8cm} @@ -113,8 +113,8 @@ \subsection{Temperaturdrift von Referenzspannungen} %\end{minipage} %& %\begin{minipage}{6cm} -%\includegraphics[width=6cm, height = 4cm]{pictures/bandgapReferenz1}\\ -%\includegraphics[width=6cm, height = 4cm]{pictures/bandgapReferenz2} +%\includegraphics[width=6cm, height = 4cm]{images/bandgapReferenz1}\\ +%\includegraphics[width=6cm, height = 4cm]{images/bandgapReferenz2} %\end{minipage} %& %\begin{minipage}{8cm}{ @@ -134,7 +134,7 @@ \subsection{Temperaturdrift von Referenzspannungen} %\end{minipage} %& %\begin{minipage}{6cm} -%\includegraphics[width=6cm, height = 4cm]{pictures/zenerReferenz} +%\includegraphics[width=6cm, height = 4cm]{images/zenerReferenz} %\end{minipage} %& %\\ diff --git a/sections/spannungsreferenzen.tex b/sections/spannungsreferenzen.tex index 0b80614..5bfda57 100644 --- a/sections/spannungsreferenzen.tex +++ b/sections/spannungsreferenzen.tex @@ -8,7 +8,7 @@ \subsection{Verschiedene Arten der Rerferenzspannungserzeugung} \end{minipage} & \begin{minipage}{6cm} - \includegraphics[width=6cm,trim=0 0 0 -5]{pictures/spannungsteiler} + \includegraphics[width=6cm,trim=0 0 0 -5]{images/spannungsteiler} \end{minipage} & \begin{minipage}{8cm} @@ -24,7 +24,7 @@ \subsection{Verschiedene Arten der Rerferenzspannungserzeugung} \end{minipage} & \begin{minipage}{6cm} - \includegraphics[width=6cm]{pictures/diodenReferenz} + \includegraphics[width=6cm]{images/diodenReferenz} \end{minipage} & \begin{minipage}{8cm} @@ -40,7 +40,7 @@ \subsection{Verschiedene Arten der Rerferenzspannungserzeugung} \end{minipage} & \begin{minipage}{6cm} - \includegraphics[width=2.5cm,trim=0 0 0 -5]{pictures/mosfetReferenz} + \includegraphics[width=2.5cm,trim=0 0 0 -5]{images/mosfetReferenz} \end{minipage} & \begin{minipage}{8cm} @@ -58,7 +58,7 @@ \subsection{Verschiedene Arten der Rerferenzspannungserzeugung} \end{minipage} & \begin{minipage}{6cm} - \includegraphics[width=6cm]{pictures/bootstrapReferenz} + \includegraphics[width=6cm]{images/bootstrapReferenz} \end{minipage} & \begin{minipage}{8cm} @@ -76,7 +76,7 @@ \subsection{Verschiedene Arten der Rerferenzspannungserzeugung} \end{minipage} & \begin{minipage}{6cm} - \includegraphics[width=6cm,trim=0 0 0 -5]{pictures/zenerReferenz} + \includegraphics[width=6cm,trim=0 0 0 -5]{images/zenerReferenz} \end{minipage} & \begin{minipage}{8cm} @@ -88,8 +88,8 @@ \subsection{Verschiedene Arten der Rerferenzspannungserzeugung} \end{minipage} & \begin{minipage}{6cm} - \includegraphics[width=6cm,trim=0 0 0 -5]{pictures/bandgapReferenz1}\\ - \includegraphics[width=6cm]{pictures/bandgapReferenz2} + \includegraphics[width=6cm,trim=0 0 0 -5]{images/bandgapReferenz1}\\ + \includegraphics[width=6cm]{images/bandgapReferenz2} \end{minipage} & \begin{minipage}{8cm} diff --git a/sections/spannungsregler.tex b/sections/spannungsregler.tex index 000d509..303082a 100644 --- a/sections/spannungsregler.tex +++ b/sections/spannungsregler.tex @@ -18,7 +18,7 @@ \subsection{Lineare Spannungsregler\hartl{280}} & \begin{minipage}{6cm} \includegraphics[width=6cm, height = -4cm]{pictures/transistorStabilisierung} +4cm]{images/transistorStabilisierung} \begin{tabular}{ll} $B$:&Gleichstromverstärkung\\[-0.8em] $R_{i}$:&Innenwiderstand der Schaltung\\[-0.8em] @@ -55,7 +55,7 @@ \subsection{Lineare Spannungsregler\hartl{280}} & \begin{minipage}{6cm} \includegraphics[height = -4cm]{pictures/festStabilisierung} +4cm]{images/festStabilisierung} \end{minipage} & \begin{minipage}{8cm} @@ -72,7 +72,7 @@ \subsection{Lineare Spannungsregler\hartl{280}} & \begin{minipage}{6cm} \includegraphics[height = -4cm]{pictures/einstellbarStabilisierung} +4cm]{images/einstellbarStabilisierung} \end{minipage} & \begin{minipage}{8cm} @@ -94,7 +94,7 @@ \subsection{Schaltregler\hartl{285}} \end{minipage} & \begin{minipage}{6cm} -\includegraphics[width=6cm]{pictures/switchcap.png} +\includegraphics[width=6cm]{images/switchcap.png} \end{minipage} & \begin{minipage}{8cm} @@ -111,7 +111,7 @@ \subsection{Schaltregler\hartl{285}} \end{minipage} & \begin{minipage}{6cm} -\includegraphics[width=6cm, height =4cm]{pictures/abwaertsWandler} +\includegraphics[width=6cm, height =4cm]{images/abwaertsWandler} \end{minipage} & \begin{minipage}{8cm} @@ -153,7 +153,7 @@ \subsection{Schaltregler\hartl{285}} \end{minipage} & \begin{minipage}{6cm} -\includegraphics[width=6cm, height =4cm]{pictures/aufwaertsWandler} +\includegraphics[width=6cm, height =4cm]{images/aufwaertsWandler} \end{minipage} & \begin{minipage}{8cm} @@ -193,7 +193,7 @@ \subsection{Schaltregler\hartl{285}} \end{minipage} & \begin{minipage}{6cm} -\includegraphics[width=6cm, height =4cm]{pictures/inventierenderWandler} +\includegraphics[width=6cm, height =4cm]{images/inventierenderWandler} \end{minipage} & \begin{minipage}{8cm} @@ -227,11 +227,7 @@ \subsection{Schaltregler\hartl{285}} \hline \end{longtable} - - - - -\begin{minipage}{0.49\textwidth} +\begin{multicols}{2} \subsection{Regelung der Ausgangsspannung: Voltage Mode} \begin{itemize} \item Mit PWM-Signal @@ -239,25 +235,33 @@ \subsection{Regelung der Ausgangsspannung: Voltage Mode} grösser \end{itemize} -\includegraphics[width=\textwidth]{pictures/ausgangsspannungsregelung} - -\end{minipage} -\begin{minipage}{0.49\textwidth} +\includegraphics[width=\linewidth]{images/ausgangsspannungsregelung} +\vfill\null +\columnbreak \subsection{Regelung mit Current mode} \begin{itemize} - \item Strom und Spannung werden gemessen - \item Innerer Loop muss schneller sein als äusserer Loop + \item Strom und Spannung werden gemessen + \item Innerer Loop muss schneller sein als äusserer Loop \end{itemize} -\includegraphics[width=\textwidth]{pictures/currentmode} - -\end{minipage} +\includegraphics[width=\linewidth]{images/currentmode} +\end{multicols} +%\begin{minipage}{0.49\textwidth} +%\subsection{Regelung mit Current mode} +%\begin{itemize} +% \item Strom und Spannung werden gemessen +% \item Innerer Loop muss schneller sein als äusserer Loop +%\end{itemize} +% +%\includegraphics[width=\textwidth]{images/currentmode} +% +%\end{minipage} \subsection{Effizienzsteigerung} \begin{minipage}{0.69\textwidth} \subsubsection{MOSFET statt Diode} -\includegraphics[scale=0.5]{pictures/effizient1} +\includegraphics[scale=0.5]{images/effizient1} \begin{itemize} \item Diode hat Spannungsabfall \begin{itemize} diff --git a/sections/wandler.tex b/sections/wandler.tex index dc277ff..bd9319a 100644 --- a/sections/wandler.tex +++ b/sections/wandler.tex @@ -6,8 +6,8 @@ \subsection{Kennlinien\hartl{432}} & \textbf{ADC} & \textbf{DAC} \\ \hline \textbf{Kennlinien idealer Wandler} - & \parbox[c][6cm]{0.31\textwidth}{\includegraphics[height=5cm]{./pictures/idealerADC.jpg}} - & \parbox[c]{0.31\textwidth}{\includegraphics[width=0.3\textwidth]{./pictures/idealerDAC.png}} + & \parbox[c][6cm]{0.31\textwidth}{\includegraphics[height=5cm]{./images/idealerADC.jpg}} + & \parbox[c]{0.31\textwidth}{\includegraphics[width=0.3\textwidth]{./images/idealerDAC.png}} \\ \hline \textbf{Quantisierungsintervall} & $q = \frac{A_{max}}{2^N} = \frac{V_{Refp}-V_{Refn}}{2^N}$ @@ -22,23 +22,23 @@ \subsection{Kennlinien\hartl{432}} & $V_{out} = D_{in}\cdot q + V_{Refn}= D_{in}\cdot(\frac{A_{Ref}}{2^N}) + V_{Refn}$ \\ \hline \textbf{Offset-Fehler \hartl{434}} - & \includegraphics[height=3cm, trim=0cm 0cm 6.2cm 6.5cm, clip=true, valign=t]{./pictures/EoffADC.png} - & \includegraphics[height=3cm, trim=0cm 0cm 6cm 6.5cm, clip=true, valign=t]{./pictures/EoffDAC.png} + & \includegraphics[height=3cm, trim=0cm 0cm 6.2cm 6.5cm, clip=true, valign=t]{./images/EoffADC.png} + & \includegraphics[height=3cm, trim=0cm 0cm 6cm 6.5cm, clip=true, valign=t]{./images/EoffDAC.png} \\ \hline \textbf{Verstärkungsfehler \hartl{436}} - & \includegraphics[height=3cm, valign=t]{./pictures/verstaerkungsfehlerADC.png} - & \includegraphics[height=3cm, valign=t]{./pictures/verstaerkungsfehlerDAC.png} + & \includegraphics[height=3cm, valign=t]{./images/verstaerkungsfehlerADC.png} + & \includegraphics[height=3cm, valign=t]{./images/verstaerkungsfehlerDAC.png} \\ \hline \textbf{Differentielle Nichtlinearität DNL \hartl{437}} \newline \newline $DNL_n$ = (Spannungsinkrement bei einem Eingangsschritt von $n-1$ nach $n$) - (ideales Spannungsinkrement q) in LSB - & \includegraphics[height=3cm, valign=t]{./pictures/DNL_ges.png} - & \includegraphics[height=3cm, valign=t]{./pictures/DNL_DAC.png} + & \includegraphics[height=3cm, valign=t]{./images/DNL_ges.png} + & \includegraphics[height=3cm, valign=t]{./images/DNL_DAC.png} \\ \hline \textbf{Integrale Nichtlinearität INL \hartl{439}} \newline \newline Die INL bezeichnet die max. Abweichung der Ausgangskurve von der Idealen Gerade. - & \includegraphics[height=3.5cm, valign=t]{./pictures/INL_ADC.png} - & \includegraphics[height=4cm, valign=t]{./pictures/INL_DAC.png} + & \includegraphics[height=3.5cm, valign=t]{./images/INL_ADC.png} + & \includegraphics[height=4cm, valign=t]{./images/INL_DAC.png} \\ \hline \end{tabular} \subsection{Eigenschaften und Fehler bei dynamischen Signalen\hartl{442}} @@ -51,20 +51,21 @@ \subsection{Eigenschaften und Fehler bei dynamischen Signalen\hartl{442}} \end{tabular} \subsubsection{Aperturfehler\hartl{442}} -Bei einer periodischen Abtastung eines Signals ist immer ein gewisse zeitliche -Unsicherheit im Abtastzeitpunkt (Aperturunsicherheit) gegeben. Ist der Aperturfehler grösser als der maximal auftretende Quantisierungsfehler ($\frac{1}{2}LSB$) so verschlechtert sich die Auflösung des Umsetzers. +Bei periodischer Abtastung eines Signals ist immer ein gewisse zeitliche +Unsicherheit im Abtastzeitpunkt (Aperturunsicherheit) gegeben. Ist der Aperturfehler grösser als der maximal auftretende Quantisierungsfehler ($\frac{1}{2}LSB$) so verschlechtert sich die Auflösung. +\newpage \subsubsection{Jitterfehler} \begin{longtable}[c]{ l l l l } \begin{minipage}{4cm} - \includegraphics[scale=0.38]{pictures/aperturfehlercos} + \includegraphics[scale=0.38]{images/aperturfehlercos} \end{minipage} & \begin{minipage}{3cm} - \includegraphics[scale=0.42]{pictures/aperturfehler} + \includegraphics[scale=0.42]{images/aperturfehler} \end{minipage} & \begin{minipage}{5cm}