mirror of
https://github.com/anatolykopyl/term-paper-tes.git
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157 lines
4.4 KiB
TeX
157 lines
4.4 KiB
TeX
\documentclass[a4paper, 12pt]{article}
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\usepackage{mathtext}
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\usepackage[T2A]{fontenc}
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\usepackage[utf8]{inputenc}
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\usepackage[russian]{babel}
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\usepackage{amsmath}
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\usepackage{titlesec}
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\usepackage{scrextend}
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\usepackage{graphicx}
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\usepackage{tikz}
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\DeclareSymbolFont{T2Aletters}{T2A}{cmr}{m}{it}
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\graphicspath{ {./images/} }
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% Установки для отрисовки решеток кодера
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\tikzstyle{lightedge}=[dashed]
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\tikzstyle{mainedge}=[solid]
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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{pointer}=[orange,->,dashed]
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\newcounter{ctra}
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\newcommand{\trellisEdges}[2]{%
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\setcounter{ctra}{#2}
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\pgfmathtruncatemacro{\xplusone}{#1 + 1}
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\ifodd\value{ctra}
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\draw[mainedge] (s#1#2) -- (s\xplusone2);
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\else
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\draw[mainedge] (s#1#2) -- (s\xplusone0);
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\fi%
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\ifodd\value{ctra}
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\draw[lightedge] (s#1#2) -- (s\xplusone3);
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\else
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\draw[lightedge] (s#1#2) -- (s\xplusone1);
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\fi%
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}
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% #1=x; #2=y; #3=In; #4=Out
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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[outputBit] (out#1) at (#1+0.5,6) {#4};
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\draw[pointer] (in#1) -- (#1+0.5,#2);
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}
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\author{Анатолий Копыл}
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\title{Курсовая работа}
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\begin{document}
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\section{Исходные данные}
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\[ m=41 \]
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\begin{center}
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\begin{tabular}{ | p{5cm} | p{5cm} | p{5cm} | }
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\hline
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Предельные уровни аналогового сигнала \(a_{min}\), \(a_{max}\) (В) & \(a_{max}=25,6\) В;\newline\(a_{min}=-25,6\) В & Внести свои данные \\
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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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\hline
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Заданный уровень квантования & \(j=500-3\cdot m\) & 377 \\
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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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\hline
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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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Вид модуляции & КАМ-16 & \\
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\hline
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\end{tabular}
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\end{center}
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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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\[ f_d=\frac{1}{\Delta t}\geq 2f_B=\frac{1}{3,546\cdot 10^{-5}}=28200 \]
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\[ L=2^9 = 512 \]
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\[ 377_{10}=101111001_2 \]
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\section{Кодер}
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\begin{center}
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\includegraphics[scale=0.8]{coder}
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\begin{tabular}{ | c | c | c | c | c | c | c | c | c | c | }
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\hline
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Входной сигнал &1&0&1&1&1&1&0&0&1\\
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\hline
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Выходной сигнал &11&10&00&01&10&10&01&11&11\\
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\hline
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\end{tabular}
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\end{center}
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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 (-0.5,1) [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=blue] {};
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}
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}
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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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\trellisEdges{2}{0}
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\trellisEdges{2}{1}
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\trellisEdges{2}{2}
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\trellisEdges{2}{3}
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\trellisEdges{3}{0}
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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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\node at (-0,5) [left] {Входной бит};
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\node at (-0,6) [left] {Выходной бит};
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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{2}{1.5}{1}{00}
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\trellisInOut{3}{2}{1}{01}
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\trellisInOut{4}{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{7}{1}{0}{11}
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\trellisInOut{8}{0}{1}{11}
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\end{tikzpicture}
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\end{document}
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