mirror of
https://github.com/anatolykopyl/term-paper-tes.git
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Начал работу над решетками декодера
This commit is contained in:
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*.aux
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*.log
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term_paper.pdf
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term_paper.pdf
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term_paper.tex
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term_paper.tex
@@ -10,6 +10,8 @@
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\usepackage{scrextend}
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\usepackage{scrextend}
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\usepackage{graphicx}
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\usepackage{graphicx}
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\usepackage{tikz}
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\usepackage{tikz}
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\usetikzlibrary{shapes.misc}
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\usepackage{pdflscape}
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\DeclareSymbolFont{T2Aletters}{T2A}{cmr}{m}{it}
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\DeclareSymbolFont{T2Aletters}{T2A}{cmr}{m}{it}
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\graphicspath{ {./images/} }
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\graphicspath{ {./images/} }
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@@ -17,33 +19,39 @@
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% Установки для отрисовки решеток кодера
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% Установки для отрисовки решеток кодера
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\tikzstyle{lightedge}=[dashed]
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\tikzstyle{lightedge}=[dashed]
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\tikzstyle{mainedge}=[solid]
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\tikzstyle{mainedge}=[solid]
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\tikzstyle{activeedge}=[green, very thick]
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\tikzstyle{inputBit}=[rectangle,fill=red, text=white]
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\tikzstyle{inputBit}=[rectangle,fill=red, text=white]
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\tikzstyle{outputBit}=[rectangle,fill=blue, text=white]
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\tikzstyle{outputBit}=[rectangle,fill=blue, text=white]
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\tikzstyle{pointer}=[orange,->,dashed]
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\tikzstyle{pointer}=[orange,->,dashed]
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\newcounter{ctra}
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\newcounter{ctra}
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\newcommand{\trellisEdges}[2]{%
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\newcommand{\trellisEdges}[2]{
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\setcounter{ctra}{#2}
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\setcounter{ctra}{#2}
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\pgfmathtruncatemacro{\xplusone}{#1 + 1}
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\pgfmathtruncatemacro{\xplusone}{#1 + 1}
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\ifodd\value{ctra}
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\ifodd\value{ctra}
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\draw[mainedge] (s#1#2) -- (s\xplusone2);
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\draw[mainedge] (s#1#2) -- (s\xplusone2);
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\else
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\else
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\draw[mainedge] (s#1#2) -- (s\xplusone0);
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\draw[mainedge] (s#1#2) -- (s\xplusone0);
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\fi%
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\fi
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\ifodd\value{ctra}
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\ifodd\value{ctra}
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\draw[lightedge] (s#1#2) -- (s\xplusone3);
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\draw[lightedge] (s#1#2) -- (s\xplusone3);
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\else
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\else
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\draw[lightedge] (s#1#2) -- (s\xplusone1);
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\draw[lightedge] (s#1#2) -- (s\xplusone1);
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\fi%
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\fi
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}
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}
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% #1=x; #2=y; #3=In; #4=Out
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% #1=x; #2=y; #3=In; #4=Out
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\newcommand{\trellisInOut}[4]{
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\newcommand{\trellisInOut}[4]{
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\node[inputBit] (in#1) at (#1+0.5,5) {#3};
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\node[inputBit] (in#1) at (#1+0.5,4) {#3};
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\node[outputBit] (out#1) at (#1+0.5,6) {#4};
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\node[outputBit] (out#1) at (#1+0.5,5) {#4};
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\draw[pointer] (in#1) -- (#1+0.5,#2);
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\draw[pointer] (in#1) -- (#1+0.5,#2);
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}
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}
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% #1=x; #2=y; #3=In
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\newcommand{\trellisIn}[2]{
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\node[outputBit] (in#1) at (#1+0.5,4) {#2};
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}
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\author{Анатолий Копыл}
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\author{Анатолий Копыл}
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\title{Курсовая работа}
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\title{Курсовая работа}
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@@ -59,9 +67,9 @@
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\hline
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\hline
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Верхняя частота спектра аналогового сигнала \(f_В\) & \(f_В =(1+m\cdot 10^{-2})\cdot 10^4\) & \(f_В =14100\) \\
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Верхняя частота спектра аналогового сигнала \(f_В\) & \(f_В =(1+m\cdot 10^{-2})\cdot 10^4\) & \(f_В =14100\) \\
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\hline
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\hline
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Заданный уровень квантования & \(j=500-3\cdot m\) & 377 \\
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Заданный уровень квантования & \(j=500-3\cdot m\) & 377 \\
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\hline
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\hline
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Спектральная плотность мощности флуктуационной помехи & 41 & \(N_0=2,3\cdot 10^{-7}\, В^2/Гц\)\\
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Спектральная плотность мощности флуктуационной помехи & 41 & \(N_0=2,3\cdot 10^{-7}\, В^2/Гц\)\\
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\hline
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\hline
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q - номер тактового интервала ошибки & \(q=m\mod{3}+1\) & \(q=3\)\\
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q - номер тактового интервала ошибки & \(q=m\mod{3}+1\) & \(q=3\)\\
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\hline
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\hline
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@@ -73,8 +81,8 @@
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\section{Аналого-цифровой преобразователь}
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\section{Аналого-цифровой преобразователь}
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\[ \Delta t \leq \frac{1}{2f_B}=\frac1 {2\cdot 14100} = 3,546\cdot 10^{-5}\, с \]
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\[ \Delta t \leq \frac{1}{2f_B}=\frac1 {2\cdot 14100} = 3,546\cdot 10^{-5}\, с \]
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\[ f_d=\frac{1}{\Delta t}\geq 2f_B=\frac{1}{3,546\cdot 10^{-5}}=28200 \]
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\[ f_d=\frac{1}{\Delta t}\geq 2f_B=\frac{1}{3,546\cdot 10^{-5}}=28200 \]
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\[ L=2^9 = 512 \]
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\[ 377_{10}=101111001_2 \]
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\[ 377_{10}=101111001_2 \]
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\[ k=9;\, L=2^9 = 512 \]
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\section{Кодер}
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\section{Кодер}
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\begin{center}
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\begin{center}
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@@ -89,68 +97,243 @@
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\end{tabular}
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\end{tabular}
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\end{center}
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\end{center}
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\subsection{Решетка кодера}
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\begin{tikzpicture}[x=1.2cm, y=-1cm]
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\begin{tikzpicture}[x=1.2cm, y=-1cm]
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\node at (-0.5,0) [left] {$s_1=00$};
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\node at (-0.5,0) [left] {$s_1=00$};
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\node at (-0.5,1) [left] {$s_2=10$};
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\node at (-0.5,1) [left] {$s_2=10$};
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\node at (-0.5,2) [left] {$s_3=01$};
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\node at (-0.5,2) [left] {$s_3=01$};
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\node at (-0.5,3) [left] {$s_4=11$};
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\node at (-0.5,3) [left] {$s_4=11$};
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% Nodes
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% Nodes
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\foreach \x in {0,...,9} {
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\foreach \x in {0,...,9} {
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\node at (\x,-.7) {$\x$};
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\node at (\x,-.7) {$\x$};
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\foreach \y in {0,...,3} {
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\foreach \y in {0,...,3} {
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\node (s\x\y) at (\x,\y) [circle,fill=blue] {};
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\node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
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}
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}
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}
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}
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% Edges
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% Edges
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\trellisEdges{0}{0}
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\trellisEdges{0}{0}
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\trellisEdges{1}{0}
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\trellisEdges{1}{0}
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\trellisEdges{1}{1}
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\trellisEdges{1}{1}
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\trellisEdges{2}{0}
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\foreach \x in {2,...,8} {
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\trellisEdges{2}{1}
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\foreach \y in {0,...,3} {
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\trellisEdges{2}{2}
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\trellisEdges{\x}{\y}
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\trellisEdges{2}{3}
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}
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\trellisEdges{3}{0}
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}
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\trellisEdges{3}{1}
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\trellisEdges{3}{2}
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\trellisEdges{3}{3}
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\trellisEdges{4}{0}
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\trellisEdges{4}{1}
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\trellisEdges{4}{2}
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\trellisEdges{4}{3}
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\trellisEdges{5}{0}
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\trellisEdges{5}{1}
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\trellisEdges{5}{2}
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\trellisEdges{5}{3}
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\trellisEdges{6}{0}
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\trellisEdges{6}{1}
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\trellisEdges{6}{2}
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\trellisEdges{6}{3}
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\trellisEdges{7}{0}
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\trellisEdges{7}{1}
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\trellisEdges{7}{2}
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\trellisEdges{7}{3}
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\trellisEdges{8}{0}
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\trellisEdges{8}{1}
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\trellisEdges{8}{2}
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\trellisEdges{8}{3}
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% Inputs and Outputs
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% Inputs and Outputs
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\node at (-0,5) [left] {Входной бит};
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\node at (-0.5,4) [left] {Входной бит};
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\node at (-0,6) [left] {Выходной бит};
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\node at (-0.5,5) [left] {Результат};
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\trellisInOut{0}{0.5}{1}{11}
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\trellisInOut{0}{0.5}{1}{11}
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\trellisInOut{1}{1.5}{0}{10}
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\trellisInOut{1}{1.5}{0}{10}
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\trellisInOut{2}{1.5}{1}{00}
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\trellisInOut{2}{1.5}{1}{00}
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\trellisInOut{3}{2}{1}{01}
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\trellisInOut{3}{2}{1}{01}
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\trellisInOut{4}{3}{1}{10}
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\trellisInOut{4}{3}{1}{10}
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\trellisInOut{5}{3}{1}{10}
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\trellisInOut{5}{3}{1}{10}
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\trellisInOut{6}{2.5}{1}{01}
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\trellisInOut{6}{2.5}{0}{01}
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\trellisInOut{7}{1}{0}{11}
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\trellisInOut{7}{1}{0}{11}
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\trellisInOut{8}{0}{1}{11}
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\trellisInOut{8}{0.5}{1}{11}
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\end{tikzpicture}
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\end{tikzpicture}
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Длительность двоичного символа \(T_В\) на выходе кодера:
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\[T_В=\frac{\Delta t}{2k}=\frac{3,546\cdot 10^{-5}}{2\cdot 9}=
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1,97\cdot 10^{-6}\,с\]
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\section{Декодер}
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По каналу передавался код \(\overline{u}=11 10 00 01 10 10 01 11 11\).
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Ошибка произошла на тактовом интервале \(q=3\).
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Таким образом, на вход декодера поступает последовательность
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\(\overline{Z}=11 \dot{0}0 00 01 10 10 01 11 11\). Точкой обозначен ошибочно принятый символ.
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\subsection{Диаграмма декодера}
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\begin{tikzpicture}[x=1.2cm, y=-1cm,
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highlight/.style={circle,fill=blue,text=white,scale=0.7}
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]
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\node at (-0.5,0) [left] {$s_1=00$};
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\node at (-0.5,1) [left] {$s_2=10$};
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\node at (-0.5,2) [left] {$s_3=01$};
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\node at (-0.5,3) [left] {$s_4=11$};
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% Nodes
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\foreach \x in {0,...,9} {
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\node at (\x,-.7) {$\x$};
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\foreach \y in {0,...,3} {
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\node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
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}
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}
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\node at (0,0) [highlight] {};
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\node at (1,0) [highlight,label=left:{$2$}] {};
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\node at (1,1) [highlight,label=left:{$0$}] {};
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\node at (2,0) [highlight,label=left:{$0$}] {};
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\node at (2,1) [highlight,label=left:{$2$}] {};
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\node at (2,2) [highlight,label=left:{$1$}] {};
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\node at (2,3) [highlight,label=left:{$1$}] {};
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\node at (3,0) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (3,1) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (3,2) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (3,3) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (4,0) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (4,1) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (4,2) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (4,3) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (5,0) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (5,1) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (5,2) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (5,3) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (6,0) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (6,1) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (6,2) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (6,3) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (7,0) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (7,1) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (7,2) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (7,3) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (8,0) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (8,1) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (8,2) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (8,3) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (9,0) [highlight,label=left:{$\frac{2}{0}$}] {};
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\node at (9,1) [highlight,label=left:{$\frac{0}{2}$}] {};
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\node at (9,2) [highlight,label=left:{$\frac{1}{1}$}] {};
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\node at (9,3) [highlight,label=left:{$\frac{1}{1}$}] {};
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% Edges
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\trellisEdges{0}{0}
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\trellisEdges{1}{0}
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\trellisEdges{1}{1}
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\foreach \x in {2,...,8} {
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\foreach \y in {0,...,3} {
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\trellisEdges{\x}{\y}
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}
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}
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% Inputs
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\node at (-0.5,4) [left] {Входная пара};
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\trellisIn{0}{11}
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\trellisIn{1}{00}
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\trellisIn{2}{00}
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\trellisIn{3}{01}
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\trellisIn{4}{10}
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\trellisIn{5}{10}
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\trellisIn{6}{01}
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\trellisIn{7}{11}
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\trellisIn{8}{11}
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\end{tikzpicture}
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\begin{tikzpicture}[x=1.2cm, y=-1cm,
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highlight/.style={circle,fill=blue,text=white,scale=0.7}
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]
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\node at (-0.5,0) [left] {$s_1=00$};
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\node at (-0.5,1) [left] {$s_2=10$};
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\node at (-0.5,2) [left] {$s_3=01$};
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\node at (-0.5,3) [left] {$s_4=11$};
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% Edges
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\trellisEdges{0}{0}
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\trellisEdges{1}{0}
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\trellisEdges{1}{1}
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\foreach \x in {2,...,8} {
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\foreach \y in {0,...,3} {
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\trellisEdges{\x}{\y}
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}
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}
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% Nodes
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\foreach \x in {0,...,9} {
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\node at (\x,-.7) {$\x$};
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\foreach \y in {0,...,3} {
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\node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
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}
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}
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||||||
|
\node at (0,0) [highlight] {};
|
||||||
|
\node at (1,0) [highlight,label=left:{$2$}] {};
|
||||||
|
\node at (1,1) [highlight,label=left:{$0$}] {};
|
||||||
|
|
||||||
|
\node at (2,0) [highlight,label=left:{$0$}] {};
|
||||||
|
\node at (2,1) [highlight,label=left:{$2$}] {};
|
||||||
|
\node at (2,2) [highlight,label=left:{$1$}] {};
|
||||||
|
\node at (2,3) [highlight,label=left:{$1$}] {};
|
||||||
|
|
||||||
|
\node at (3,0) [highlight,label=left:{$\frac{0}{2}$}] {$\frac23$};
|
||||||
|
\node at (3,1) [highlight,label=left:{$\frac{2}{0}$}] {$\frac41$};
|
||||||
|
\node at (3,2) [highlight,label=left:{$\frac{1}{1}$}] {$\frac52$};
|
||||||
|
\node at (3,3) [highlight,label=left:{$\frac{1}{1}$}] {$\frac52$};
|
||||||
|
|
||||||
|
\node at (2.5,1) [text=red] {$\times$};
|
||||||
|
\node at (2.5,0.5) [text=red] {$\times$};
|
||||||
|
\node at (2.5,1.5) [text=red] {$\times$};
|
||||||
|
\node at (2.5,2) [text=red] {$\times$};
|
||||||
|
\node at (1.5,0.5) [text=red] {$\times$};
|
||||||
|
|
||||||
|
\draw[activeedge] (s00) -- (s10);
|
||||||
|
\draw[activeedge] (s00) -- (s11);
|
||||||
|
\draw[activeedge] (s10) -- (s20);
|
||||||
|
\draw[activeedge] (s11) -- (s22);
|
||||||
|
\draw[activeedge] (s20) -- (s30);
|
||||||
|
\draw[activeedge] (s22) -- (s31);
|
||||||
|
\draw[activeedge] (s11) -- (s23);
|
||||||
|
\draw[activeedge] (s23) -- (s32);
|
||||||
|
\draw[activeedge] (s23) -- (s33);
|
||||||
|
|
||||||
|
\node at (4,0) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (4,1) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (4,2) [highlight,label=left:{$\frac{2}{0}$}] {};
|
||||||
|
\node at (4,3) [highlight,label=left:{$\frac{0}{2}$}] {};
|
||||||
|
|
||||||
|
\node at (5,0) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (5,1) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (5,2) [highlight,label=left:{$\frac{0}{2}$}] {};
|
||||||
|
\node at (5,3) [highlight,label=left:{$\frac{2}{0}$}] {};
|
||||||
|
|
||||||
|
\node at (6,0) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (6,1) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (6,2) [highlight,label=left:{$\frac{0}{2}$}] {};
|
||||||
|
\node at (6,3) [highlight,label=left:{$\frac{2}{0}$}] {};
|
||||||
|
|
||||||
|
\node at (7,0) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (7,1) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (7,2) [highlight,label=left:{$\frac{2}{0}$}] {};
|
||||||
|
\node at (7,3) [highlight,label=left:{$\frac{0}{2}$}] {};
|
||||||
|
|
||||||
|
\node at (8,0) [highlight,label=left:{$\frac{2}{0}$}] {};
|
||||||
|
\node at (8,1) [highlight,label=left:{$\frac{0}{2}$}] {};
|
||||||
|
\node at (8,2) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (8,3) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
|
||||||
|
\node at (9,0) [highlight,label=left:{$\frac{2}{0}$}] {};
|
||||||
|
\node at (9,1) [highlight,label=left:{$\frac{0}{2}$}] {};
|
||||||
|
\node at (9,2) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
\node at (9,3) [highlight,label=left:{$\frac{1}{1}$}] {};
|
||||||
|
|
||||||
|
% Inputs and Outputs
|
||||||
|
\node at (-0.5,4) [left] {Входная пара};
|
||||||
|
|
||||||
|
\trellisIn{0}{11}
|
||||||
|
\trellisIn{1}{00}
|
||||||
|
\trellisIn{2}{00}
|
||||||
|
\trellisIn{3}{01}
|
||||||
|
\trellisIn{4}{10}
|
||||||
|
\trellisIn{5}{10}
|
||||||
|
\trellisIn{6}{01}
|
||||||
|
\trellisIn{7}{11}
|
||||||
|
\trellisIn{8}{11}
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
\end{document}
|
\end{document}
|
||||||
|
|||||||
Reference in New Issue
Block a user