4-bit Successive Approximation DAC

Författare/Upphovsman:

Uwezi

Tillskrivning:

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Kreditera:

Eget arbete

 \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}

Kort länk:

https://sewiki.info/b/9451c

Källa:

Wikimedia Commons

Upplösning:

1218 x 962 Pixel (310008 Bytes)

Beskrivning:

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.

Licens:

CC BY-SA 4.0

Licensvillkor:

Creative Commons Attribution-Share Alike 4.0