File:4-bit Successive Approximation DAC.gif
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Summary
Description4-bit Successive Approximation DAC.gif |
English: The animation shows the bitwise approximation of an analog input value within a 4-bit ADC. The simulation is based on a reference voltage of 5V and several different input voltages in the range from 0V to 5V.
The animation was created using TIKZ, beamer and XeLaTeX. |
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Source |
Own work\begin{frame}{Successive Approximation -- example of a 4-bit ADC} \noindent\begin{tikzpicture}[x=0.05\textwidth,y=0.05\textwidth] \useasboundingbox (-6.5,-8.5) rectangle (13.5,6.5); \path(0,0) node[anchor=south west,inner sep=0pt](im){\includegraphics[width=.5\textwidth]{20191120_sar}}; \path (0,5)node[anchor=east,blue]{$clk$}; \path (-3,-7) coordinate(origo); \draw [black, very thick, -latex'] (origo) -- node[anchor=north]{\small\slshape\bfseries time} ++(10.5,0); \draw [black, very thick, -latex'] (origo) -- node[anchor=south,rotate=90]{\small\slshape\bfseries voltage} ++(0,6); %\grid{-10,-10}{14,10} %\draw[green] (-6.5,-8.5) rectangle (13.5,6.5); \path(7.5,-1)node[anchor=north west,inner sep=2pt,rounded corners=2mm,draw=black,fill=LemonChiffon1,text width=0.30\textwidth]{% \scriptsize % \begin{tabular}{lr} \multicolumn{2}{c}{Resolution:}\\ $\SI{5}{\volt}\times\sfrac{1}{2}$ & \SI{2.5000}{\volt}\\ $\SI{5}{\volt}\times\sfrac{1}{4}$ & \SI{1.2500}{\volt}\\ $\SI{5}{\volt}\times\sfrac{1}{8}$ & \SI{0.6250}{\volt}\\ $\SI{5}{\volt}\times\sfrac{1}{16}$ & \SI{0.3125}{\volt}\\ \dots & \\ $\SI{5}{\volt}\times\sfrac{1}{1024}$ & \SI{0.0049}{\volt}\\ \end{tabular}}; \edef\vin{4.0} \foreach[count=\v, evaluate=\v as \startframe using int(1+6*(\v-1)), evaluate=\v as \lastframe using int(\startframe+5)] \vin in {0,0.5,1.0,1.3,2.0,2.6,3.0,4.0,4.5,5.0}% { \only<\startframe-\lastframe>{ \path (0,1)node[anchor=east,Chartreuse4]{\scriptsize$V_{in}=\SI{\vin}{\volt}$}; \draw [Chartreuse4,line width=0.3mm] ($(origo)+\vin*(0,1)$) -- ++(10,0)node[pos=-0.07,anchor=east]{\scriptsize$V_{in}=\SI{\vin}{\volt}$}; } \foreach[% count=\i,% evaluate=\i as \frame using int(\startframe+\i),% remember=\val as \lastval (initially 0),% evaluate=\lastval as \vcmp using 5*(\lastval+\val)/16,% ]% \val in {8,4,2,1,0} { \pgfmathbin{16+\val+\lastval} \edef\bitstring{\pgfmathresult} \pgfmathsetmacro{\keep}{ifthenelse(\vin >= \vcmp,1,0)} \only<\frame-\lastframe>{% \draw [blue,line width=0.3mm] ($(origo)+\vcmp*(0,1)+{\i-1}*(2,0)$) -- ++(2,0) node[pos=0.5,anchor=south,inner sep=2pt,fill=white,opacity=.7]{\tiny$\SI{\vcmp}{\volt}$} node[pos=0.5,anchor=south,inner sep=2pt]{\tiny$\SI{\vcmp}{\volt}$} node[pos=0.5,anchor=north,inner sep=2pt,fill=white,opacity=.7]{\tiny 0b\StrRight{\bitstring}{4}} node[pos=0.5,anchor=north,inner sep=2pt]{\tiny 0b\StrRight{\bitstring}{4}}; } \only<\lastframe>{% \ifthenelse{\equal{\val}{0}}% { \path (im.south west) node[anchor=north west,inner sep=2pt,blue,rounded corners=1mm,fill=yellow!60]{\small result: 0b\StrRight{\bitstring}{4}\quad $V_{in} \approx \SI{\vcmp}{\volt}$}; }% } \only<\frame>{% \foreach[count=\j,evaluate=\j as \x using 0.6*(\j-1)+1.5,evaluate=\j as \k using int(\j + 1)] \bit in {3,2,1,0} { \ifthenelse{\equal{\i}{\j}}% { \path (\x,3.6) node[anchor=south,inner sep=0pt,red]{\StrChar{\bitstring}{\k}}; }% { \path (\x,3.6) node[anchor=south,inner sep=0pt,blue]{\StrChar{\bitstring}{\k}}; } } \draw[blue,line width=.3mm] (5.5,2.3) -- (6,3.5)node[anchor=south west,inner sep=0pt,blue]{\scriptsize$V_{cmp}=\SI{\vcmp}{\volt}$}; \ifthenelse{\equal{\val}{0}}% {}% { \ifthenelse{\equal{\keep}{1}}% { \path (7.0,5.2)node[anchor=south,red]{\scriptsize$V_{in} >= V_{cmp}\,\,\Rightarrow\,\,$ keep bit}; } { \path (7.0,5.2)node[anchor=south,red]{\scriptsize$V_{in} < V_{cmp}\,\,\Rightarrow\,\,$ drop bit}; } } } \pgfmathsetmacro{\val}{ifthenelse(\vin >= \vcmp,int(\lastval+\val),int(\lastval))} } } \end{tikzpicture} \end{frame} |
Author | Uwezi |
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21 November 2019
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310,008 byte
60 second
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1,218 pixel
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 16:05, 21 November 2019 | 1,218 × 962 (303 KB) | Uwezi | User created page with UploadWizard |
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