Доделал источник сообщения

coder.lua

@@ -1,4 +1,4 @@
-input_code = {1, 0, 1, 1, 1, 1, 0, 0, 1}
+input_code = {1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}
 
 -- Logical sum
 function m2s(a, b)
@@ -28,6 +28,10 @@ function coder(input_code)
   return result, states
 end
 
+function decoder(input_code)
+
+end
+
 result, states = coder(input_code)
 
 for _, v in ipairs(states) do print(v..' ') end

decoder.tex

@@ -1,4 +1,5 @@
-\begin{tikzpicture}[x=1.2cm, y=-1cm]
+\begin{figure}
+  \begin{tikzpicture}[x=1.2cm, y=-1cm]
 
     \node at (-0.5,0) [left] {$s_1=00$};
     \node at (-0.5,1) [left] {$s_2=10$};
@@ -79,11 +80,13 @@
     \trellisIn{6}{01}
     \trellisIn{7}{11}
     \trellisIn{8}{11}
-\end{tikzpicture}
+  \end{tikzpicture}
 
-Сегмент решетки декодера от $t=0$, до $t=3$.
+  \caption{Решетка декодера} \label{fig:decoder}
+\end{figure}
 
-\begin{tikzpicture}[x=2cm, y=-1cm]
+\begin{figure}
+  \begin{tikzpicture}[x=2cm, y=-1cm]
 
     \node at (-0.5,0) [left] {$s_1=00$};
     \node at (-0.5,1) [left] {$s_2=10$};
@@ -144,11 +147,13 @@
     \trellisIn{0}{11}
     \trellisIn{1}{00}
     \trellisIn{2}{00}
-\end{tikzpicture}
+  \end{tikzpicture}
 
-Сегмент решетки декодера от $t=0$, до $t=4$.
+  \caption{Сегмент решетки декодера от $t=0$, до $t=3$.}
+\end{figure}
 
-\begin{tikzpicture}[x=2cm, y=-1cm]
+\begin{figure}
+  \begin{tikzpicture}[x=2cm, y=-1cm]
 
     \node at (-0.5,0) [left] {$s_1=00$};
     \node at (-0.5,1) [left] {$s_2=10$};
@@ -226,11 +231,13 @@
     \trellisIn{1}{00}
     \trellisIn{2}{00}
     \trellisIn{3}{01}
-\end{tikzpicture}
+  \end{tikzpicture}
 
-Сегмент решетки декодера от $t=0$, до $t=5$.
+  \caption{Сегмент решетки декодера от $t=0$, до $t=4$.}
+\end{figure}
 
-\begin{tikzpicture}[x=2cm, y=-1cm]
+\begin{figure}
+  \begin{tikzpicture}[x=2cm, y=-1cm]
 
     \node at (-0.5,0) [left] {$s_1=00$};
     \node at (-0.5,1) [left] {$s_2=10$};
@@ -324,11 +331,13 @@
     \trellisIn{2}{00}
     \trellisIn{3}{01}
     \trellisIn{4}{10}
-\end{tikzpicture}
+  \end{tikzpicture}
 
-Сегмент решетки декодера от $t=0$, до $t=6$.
+  \caption{Сегмент решетки декодера от $t=0$, до $t=5$.}
+\end{figure}
 
-\begin{tikzpicture}[x=1.8cm, y=-1cm]
+\begin{figure}
+  \begin{tikzpicture}[x=1.8cm, y=-1cm]
 
     \node at (-0.5,0) [left] {$s_1=00$};
     \node at (-0.5,1) [left] {$s_2=10$};
@@ -438,4 +447,648 @@
     \trellisIn{3}{01}
     \trellisIn{4}{10}
     \trellisIn{5}{10}
-\end{tikzpicture}
+  \end{tikzpicture}
+
+  \caption{Сегмент решетки декодера от $t=0$, до $t=6$.}
+\end{figure}
+
+\begin{figure}
+  \begin{tikzpicture}[x=1.58cm, y=-1cm]
+
+    \node at (-0.5,0) [left] {$s_1=00$};
+    \node at (-0.5,1) [left] {$s_2=10$};
+    \node at (-0.5,2) [left] {$s_3=01$};
+    \node at (-0.5,3) [left] {$s_4=11$};
+
+    % Nodes
+    \foreach \x in {0,...,7} {
+      \node at (\x,-.7) {$\x$};
+      \foreach \y in {0,...,3} {
+        \node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
+      }
+    }
+
+    % Edges
+    \trellisEdges{0}{0}
+    \trellisEdges{1}{0}
+    \trellisEdges{1}{1}
+    \foreach \x in {2,...,6} {
+      \foreach \y in {0,...,3} {
+        \trellisEdges{\x}{\y}
+      }
+    }
+
+
+    \draw[activeedge] (s00) -- (s11);
+    \draw[activeedge] (s11) -- (s22);
+    \draw[activeedge] (s22) -- (s31);
+    \draw[activeedge] (s11) -- (s23);
+    \draw[activeedge] (s23) -- (s33);
+
+    \draw[activeedge] (s31) -- (s43);
+    \draw[activeedge] (s33) -- (s42);
+
+    \draw[activeedge] (s42) -- (s51);
+    \draw[activeedge] (s43) -- (s53);
+
+    \draw[activeedge] (s51) -- (s62);
+    \draw[activeedge] (s53) -- (s63);
+
+    \draw[activeedge] (s62) -- (s70);
+    \draw[activeedge] (s62) -- (s71);
+    \draw[activeedge] (s63) -- (s72);
+    \draw[activeedge] (s63) -- (s73);
+
+    \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:{$\frac{0}{2}$}] {};
+    \node at (3,1) [highlight,label=left:{$\frac{2}{0}$}] {};
+    \node at (3,2) [highlight,label=left:{$\frac{1}{1}$}] {};
+    \node at (3,3) [highlight,label=left:{$\frac{1}{1}$}] {};
+
+    \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] {$\times$};
+    \node at (1.5,0) [text=red] {$\times$};
+    \node at (0.5,0) [text=red] {$\times$};
+
+    \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 (3.5,0) [text=red] {$\times$};
+    \node at (3.5,0.5) [text=red] {$\times$};
+    \node at (3.5,1.5) [text=red] {$\times$};
+    \node at (3.5,3) [text=red] {$\times$};
+    \node at (2.5,0) [text=red] {$\times$};
+
+    \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 (4.5,0) [text=red] {$\times$};
+    \node at (4.5,0.5) [text=red] {$\times$};
+    \node at (4.5,2.5) [text=red] {$\times$};
+    \node at (4.5,2) [text=red] {$\times$};
+    \node at (3.5,1) [text=red] {$\times$};
+
+    \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 (5.5,0) [text=red] {$\times$};
+    \node at (5.5,0.5) [text=red] {$\times$};
+    \node at (5.5,2.5) [text=red] {$\times$};
+    \node at (5.5,2) [text=red] {$\times$};
+    \node at (4.5,1) [text=red] {$\times$};
+
+    \node at (7,0) [highlight,label=left:{$\frac{1}{1}$}] {$\frac54$};
+    \node at (7,1) [highlight,label=left:{$\frac{1}{1}$}] {$\frac54$};
+    \node at (7,2) [highlight,label=left:{$\frac{2}{0}$}] {$\frac61$};
+    \node at (7,3) [highlight,label=left:{$\frac{0}{2}$}] {$\frac43$};
+
+    \node at (6.5,0) [text=red] {$\times$};
+    \node at (6.5,0.5) [text=red] {$\times$};
+    \node at (6.5,1.5) [text=red] {$\times$};
+    \node at (6.5,2) [text=red] {$\times$};
+    \node at (5.5,1) [text=red] {$\times$};
+    \node at (5.5,1.5) [text=red] {$\times$};
+    \node at (4.5,1.5) [text=red] {$\times$};
+    \node at (2.5,2.5) [text=red] {$\times$};
+
+    % Inputs and Outputs
+    \node at (-0.5,4) [left, align=right] {Входная\\пара};
+
+    \trellisIn{0}{11}
+    \trellisIn{1}{00}
+    \trellisIn{2}{00}
+    \trellisIn{3}{01}
+    \trellisIn{4}{10}
+    \trellisIn{5}{10}
+    \trellisIn{6}{01}
+  \end{tikzpicture}
+
+  \caption{Сегмент решетки декодера от $t=0$, до $t=7$.}
+\end{figure}
+
+\begin{figure}
+  \begin{tikzpicture}[x=1.36cm, y=-1cm]
+
+    \node at (-0.5,0) [left] {$s_1=00$};
+    \node at (-0.5,1) [left] {$s_2=10$};
+    \node at (-0.5,2) [left] {$s_3=01$};
+    \node at (-0.5,3) [left] {$s_4=11$};
+
+    % Nodes
+    \foreach \x in {0,...,8} {
+      \node at (\x,-.7) {$\x$};
+      \foreach \y in {0,...,3} {
+        \node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
+      }
+    }
+
+    % Edges
+    \trellisEdges{0}{0}
+    \trellisEdges{1}{0}
+    \trellisEdges{1}{1}
+    \foreach \x in {2,...,7} {
+      \foreach \y in {0,...,3} {
+        \trellisEdges{\x}{\y}
+      }
+    }
+
+
+    \draw[activeedge] (s00) -- (s11);
+    \draw[activeedge] (s11) -- (s22);
+    \draw[activeedge] (s22) -- (s31);
+
+    \draw[activeedge] (s31) -- (s43);
+
+    \draw[activeedge] (s43) -- (s53);
+
+    \draw[activeedge] (s53) -- (s63);
+
+    \draw[activeedge] (s63) -- (s72);
+    \draw[activeedge] (s63) -- (s73);
+
+    \draw[activeedge] (s72) -- (s80);
+    \draw[activeedge] (s72) -- (s81);
+    \draw[activeedge] (s73) -- (s82);
+    \draw[activeedge] (s73) -- (s83);
+
+    \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:{$\frac{0}{2}$}] {};
+    \node at (3,1) [highlight,label=left:{$\frac{2}{0}$}] {};
+    \node at (3,2) [highlight,label=left:{$\frac{1}{1}$}] {};
+    \node at (3,3) [highlight,label=left:{$\frac{1}{1}$}] {};
+
+    \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] {$\times$};
+    \node at (1.5,0) [text=red] {$\times$};
+    \node at (0.5,0) [text=red] {$\times$};
+
+    \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 (3.5,0) [text=red] {$\times$};
+    \node at (3.5,0.5) [text=red] {$\times$};
+    \node at (3.5,1.5) [text=red] {$\times$};
+    \node at (3.5,3) [text=red] {$\times$};
+    \node at (2.5,0) [text=red] {$\times$};
+
+    \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 (4.5,0) [text=red] {$\times$};
+    \node at (4.5,0.5) [text=red] {$\times$};
+    \node at (4.5,2.5) [text=red] {$\times$};
+    \node at (4.5,2) [text=red] {$\times$};
+    \node at (3.5,1) [text=red] {$\times$};
+
+    \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 (5.5,0) [text=red] {$\times$};
+    \node at (5.5,0.5) [text=red] {$\times$};
+    \node at (5.5,2.5) [text=red] {$\times$};
+    \node at (5.5,2) [text=red] {$\times$};
+    \node at (4.5,1) [text=red] {$\times$};
+
+    \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 (6.5,0) [text=red] {$\times$};
+    \node at (6.5,0.5) [text=red] {$\times$};
+    \node at (6.5,1.5) [text=red] {$\times$};
+    \node at (6.5,2) [text=red] {$\times$};
+    \node at (5.5,1) [text=red] {$\times$};
+    \node at (5.5,1.5) [text=red] {$\times$};
+    \node at (4.5,1.5) [text=red] {$\times$};
+    \node at (2.5,2.5) [text=red] {$\times$};
+
+    \node at (8,0) [highlight,label=left:{$\frac{2}{0}$}] {$\frac61$};
+    \node at (8,1) [highlight,label=left:{$\frac{0}{2}$}] {$\frac43$};
+    \node at (8,2) [highlight,label=left:{$\frac{1}{1}$}] {$\frac54$};
+    \node at (8,3) [highlight,label=left:{$\frac{1}{1}$}] {$\frac54$};
+
+    \node at (7.5,0) [text=red] {$\times$};
+    \node at (7.5,0.5) [text=red] {$\times$};
+    \node at (7.5,1.5) [text=red] {$\times$};
+    \node at (7.5,2) [text=red] {$\times$};
+    \node at (6.5,1) [text=red] {$\times$};
+    \node at (3.5,2.5) [text=red] {$\times$};
+    \node at (1.5,2) [text=red] {$\times$};
+
+    % Inputs and Outputs
+    \node at (-0.5,4) [left, align=right] {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}
+  \end{tikzpicture}
+
+  \caption{Сегмент решетки декодера от $t=0$, до $t=8$.}
+\end{figure}
+
+
+\begin{figure}
+  \begin{tikzpicture}[x=1.2cm, y=-1cm]
+
+    \node at (-0.5,0) [left] {$s_1=00$};
+    \node at (-0.5,1) [left] {$s_2=10$};
+    \node at (-0.5,2) [left] {$s_3=01$};
+    \node at (-0.5,3) [left] {$s_4=11$};
+
+    % Nodes
+    \foreach \x in {0,...,9} {
+      \node at (\x,-.7) {$\x$};
+      \foreach \y in {0,...,3} {
+        \node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
+      }
+    }
+
+    % Edges
+    \trellisEdges{0}{0}
+    \trellisEdges{1}{0}
+    \trellisEdges{1}{1}
+    \foreach \x in {2,...,8} {
+      \foreach \y in {0,...,3} {
+        \trellisEdges{\x}{\y}
+      }
+    }
+
+
+    \draw[activeedge] (s00) -- (s11);
+    \draw[activeedge] (s11) -- (s22);
+    \draw[activeedge] (s22) -- (s31);
+
+    \draw[activeedge] (s31) -- (s43);
+
+    \draw[activeedge] (s43) -- (s53);
+
+    \draw[activeedge] (s53) -- (s63);
+
+    \draw[activeedge] (s63) -- (s72);
+
+    \draw[activeedge] (s72) -- (s80);
+    \draw[activeedge] (s72) -- (s81);
+
+    \draw[activeedge] (s80) -- (s90);
+    \draw[activeedge] (s80) -- (s91);
+    \draw[activeedge] (s81) -- (s93);
+    \draw[activeedge] (s81) -- (s92);
+
+    \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:{$\frac{0}{2}$}] {};
+    \node at (3,1) [highlight,label=left:{$\frac{2}{0}$}] {};
+    \node at (3,2) [highlight,label=left:{$\frac{1}{1}$}] {};
+    \node at (3,3) [highlight,label=left:{$\frac{1}{1}$}] {};
+
+    \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] {$\times$};
+    \node at (1.5,0) [text=red] {$\times$};
+    \node at (0.5,0) [text=red] {$\times$};
+
+    \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 (3.5,0) [text=red] {$\times$};
+    \node at (3.5,0.5) [text=red] {$\times$};
+    \node at (3.5,1.5) [text=red] {$\times$};
+    \node at (3.5,3) [text=red] {$\times$};
+    \node at (2.5,0) [text=red] {$\times$};
+
+    \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 (4.5,0) [text=red] {$\times$};
+    \node at (4.5,0.5) [text=red] {$\times$};
+    \node at (4.5,2.5) [text=red] {$\times$};
+    \node at (4.5,2) [text=red] {$\times$};
+    \node at (3.5,1) [text=red] {$\times$};
+
+    \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 (5.5,0) [text=red] {$\times$};
+    \node at (5.5,0.5) [text=red] {$\times$};
+    \node at (5.5,2.5) [text=red] {$\times$};
+    \node at (5.5,2) [text=red] {$\times$};
+    \node at (4.5,1) [text=red] {$\times$};
+
+    \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 (6.5,0) [text=red] {$\times$};
+    \node at (6.5,0.5) [text=red] {$\times$};
+    \node at (6.5,1.5) [text=red] {$\times$};
+    \node at (6.5,2) [text=red] {$\times$};
+    \node at (5.5,1) [text=red] {$\times$};
+    \node at (5.5,1.5) [text=red] {$\times$};
+    \node at (4.5,1.5) [text=red] {$\times$};
+    \node at (2.5,2.5) [text=red] {$\times$};
+
+    \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 (7.5,0) [text=red] {$\times$};
+    \node at (7.5,0.5) [text=red] {$\times$};
+    \node at (7.5,1.5) [text=red] {$\times$};
+    \node at (7.5,2) [text=red] {$\times$};
+    \node at (6.5,1) [text=red] {$\times$};
+    \node at (3.5,2.5) [text=red] {$\times$};
+    \node at (1.5,2) [text=red] {$\times$};
+
+    \node at (9,0) [highlight,label=left:{$\frac{2}{0}$}] {$\frac34$};
+    \node at (9,1) [highlight,label=left:{$\frac{0}{2}$}] {$\frac16$};
+    \node at (9,2) [highlight,label=left:{$\frac{1}{1}$}] {$\frac45$};
+    \node at (9,3) [highlight,label=left:{$\frac{1}{1}$}] {$\frac45$};
+
+    \node at (8.5,1) [text=red] {$\times$};
+    \node at (8.5,1.5) [text=red] {$\times$};
+    \node at (8.5,2.5) [text=red] {$\times$};
+    \node at (8.5,3) [text=red] {$\times$};
+    \node at (7.5,2.5) [text=red] {$\times$};
+    \node at (7.5,3) [text=red] {$\times$};
+    \node at (6.5,3) [text=red] {$\times$};
+
+    % Inputs and Outputs
+    \node at (-0.5,4) [left, align=right] {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}
+
+  \caption{Сегмент решетки декодера от $t=0$, до $t=9$.}
+\end{figure}
+
+\begin{landscape}
+  \begin{figure}
+    \begin{tikzpicture}[x=1.4cm, y=-1cm]
+
+      \node at (-0.5,0) [left] {$s_1=00$};
+      \node at (-0.5,1) [left] {$s_2=10$};
+      \node at (-0.5,2) [left] {$s_3=01$};
+      \node at (-0.5,3) [left] {$s_4=11$};
+
+      % Nodes
+      \foreach \x in {0,...,12} {
+        \node at (\x,-.7) {$\x$};
+        \foreach \y in {0,...,3} {
+          \node (s\x\y) at (\x,\y) [circle,fill=black,scale=0.7] {};
+        }
+      }
+
+      % Edges
+      \trellisEdges{0}{0}
+      \trellisEdges{1}{0}
+      \trellisEdges{1}{1}
+      \foreach \x in {2,...,11} {
+        \foreach \y in {0,...,3} {
+          \trellisEdges{\x}{\y}
+        }
+      }
+
+
+      \draw[activeedge] (s00) -- (s11);
+      \draw[activeedge] (s11) -- (s22);
+      \draw[activeedge] (s22) -- (s31);
+
+      \draw[activeedge] (s31) -- (s43);
+
+      \draw[activeedge] (s43) -- (s53);
+
+      \draw[activeedge] (s53) -- (s63);
+
+      \draw[activeedge] (s63) -- (s72);
+
+      \draw[activeedge] (s72) -- (s80);
+
+      \draw[activeedge] (s80) -- (s91);
+
+      \draw[activeedge] (s91) -- (10,2);
+      \draw[activeedge] (s91) -- (10,3);
+
+      \draw[activeedge] (10,2) -- (11,0);
+      \draw[activeedge] (10,3) -- (11,2);
+      \draw[activeedge] (10,3) -- (11,3);
+
+      \draw[activeedge] (11,0) -- (12,0);
+      \draw[activeedge] (11,2) -- (12,1);
+      \draw[activeedge] (11,3) -- (12,2);
+      \draw[activeedge] (11,3) -- (12,3);
+
+      \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:{$\frac{0}{2}$}] {};
+      \node at (3,1) [highlight,label=left:{$\frac{2}{0}$}] {};
+      \node at (3,2) [highlight,label=left:{$\frac{1}{1}$}] {};
+      \node at (3,3) [highlight,label=left:{$\frac{1}{1}$}] {};
+
+      \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] {$\times$};
+      \node at (1.5,0) [text=red] {$\times$};
+      \node at (0.5,0) [text=red] {$\times$};
+
+      \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 (3.5,0) [text=red] {$\times$};
+      \node at (3.5,0.5) [text=red] {$\times$};
+      \node at (3.5,1.5) [text=red] {$\times$};
+      \node at (3.5,3) [text=red] {$\times$};
+      \node at (2.5,0) [text=red] {$\times$};
+
+      \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 (4.5,0) [text=red] {$\times$};
+      \node at (4.5,0.5) [text=red] {$\times$};
+      \node at (4.5,2.5) [text=red] {$\times$};
+      \node at (4.5,2) [text=red] {$\times$};
+      \node at (3.5,1) [text=red] {$\times$};
+
+      \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 (5.5,0) [text=red] {$\times$};
+      \node at (5.5,0.5) [text=red] {$\times$};
+      \node at (5.5,2.5) [text=red] {$\times$};
+      \node at (5.5,2) [text=red] {$\times$};
+      \node at (4.5,1) [text=red] {$\times$};
+
+      \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 (6.5,0) [text=red] {$\times$};
+      \node at (6.5,0.5) [text=red] {$\times$};
+      \node at (6.5,1.5) [text=red] {$\times$};
+      \node at (6.5,2) [text=red] {$\times$};
+      \node at (5.5,1) [text=red] {$\times$};
+      \node at (5.5,1.5) [text=red] {$\times$};
+      \node at (4.5,1.5) [text=red] {$\times$};
+      \node at (2.5,2.5) [text=red] {$\times$};
+
+      \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 (7.5,0) [text=red] {$\times$};
+      \node at (7.5,0.5) [text=red] {$\times$};
+      \node at (7.5,1.5) [text=red] {$\times$};
+      \node at (7.5,2) [text=red] {$\times$};
+      \node at (6.5,1) [text=red] {$\times$};
+      \node at (3.5,2.5) [text=red] {$\times$};
+      \node at (1.5,2) [text=red] {$\times$};
+
+      \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:{$\frac{1}{1}$}] {};
+
+      \node at (8.5,1) [text=red] {$\times$};
+      \node at (8.5,1.5) [text=red] {$\times$};
+      \node at (8.5,2.5) [text=red] {$\times$};
+      \node at (8.5,3) [text=red] {$\times$};
+      \node at (7.5,2.5) [text=red] {$\times$};
+      \node at (7.5,3) [text=red] {$\times$};
+      \node at (6.5,3) [text=red] {$\times$};
+
+      \node at (10, 0) [highlight,label=left:{$\frac{1}{1}$}] {$\frac45$};
+      \node at (10, 1) [highlight,label=left:{$\frac{1}{1}$}] {$\frac45$};
+      \node at (10, 2) [highlight,label=left:{$\frac{2}{0}$}] {$\frac34$};
+      \node at (10, 3) [highlight,label=left:{$\frac{0}{2}$}] {$\frac16$};
+
+      \node at (9.5,1) [text=red] {$\times$};
+      \node at (9.5,1.5) [text=red] {$\times$};
+      \node at (9.5,2.5) [text=red] {$\times$};
+      \node at (9.5,3) [text=red] {$\times$};
+
+      \node at (11, 0) [highlight,label=left:{$\frac{2}{0}$}] {$\frac63$};
+      \node at (11, 1) [highlight,label=left:{$\frac{0}{2}$}] {$\frac45$};
+      \node at (11, 2) [highlight,label=left:{$\frac{1}{1}$}] {$\frac52$};
+      \node at (11, 3) [highlight,label=left:{$\frac{1}{1}$}] {$\frac52$};
+
+      \node at (10.5,0) [text=red] {$\times$};
+      \node at (10.5,1.5) [text=red] {$\times$};
+      \node at (10.5,2) [text=red] {$\times$};
+
+      \node at (12, 0) [highlight,label=left:{$\frac{0}{2}$}] {$\frac34$};
+      \node at (12, 1) [highlight,label=left:{$\frac{2}{0}$}] {$\frac52$};
+      \node at (12, 2) [highlight,label=left:{$\frac{1}{1}$}] {$\frac53$};
+      \node at (12, 3) [highlight,label=left:{$\frac{1}{1}$}] {$\frac53$};
+
+      \node at (11.5,1) [text=red] {$\times$};
+      \node at (11.5,0.5) [text=red] {$\times$};
+      \node at (11.5,1.5) [text=red] {$\times$};
+      \node at (11.5,2) [text=red] {$\times$};
+      \node at (10.5,0.5) [text=red] {$\times$};
+      \node at (9.5,0) [text=red] {$\times$};
+      \node at (9.5,0.5) [text=red] {$\times$};
+      \node at (8.5,0) [text=red] {$\times$};
+      \node at (8.5,2) [text=red] {$\times$};
+      \node at (2.5,3) [text=red] {$\times$};
+
+      % Inputs and Outputs
+      \node at (-0.5,4) [left, align=right] {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}
+      \trellisIn{9}{10}
+      \trellisIn{10}{11}
+      \trellisIn{11}{00}
+    \end{tikzpicture}
+
+    \caption{Полная решетка декодера.}
+  \end{figure}
+\end{landscape}

term_paper.tex

@@ -13,9 +13,11 @@
 \usetikzlibrary{shapes.misc}
 \usepackage{pdflscape}
 \usepackage{float}
+\usepackage{pgfplots}
 
 \DeclareSymbolFont{T2Aletters}{T2A}{cmr}{m}{it}
 \graphicspath{ {./images/} }
+\pgfplotsset{width=10cm,compat=1.9}
 
 % Установки для отрисовки решеток кодера
 \tikzstyle{lightedge}=[dashed]
@@ -56,16 +58,115 @@
 
 
 \author{Анатолий Копыл}
-\title{Курсовая работа}
+\title{Расчёт основных характеристик цифровой системы связи с использованием квадратурной модуляции}
 
 \begin{document}
 
+% НАЧАЛО ТИТУЛЬНОГО ЛИСТА
+\makeatletter
+\begin{titlepage}
+  \begin{center}
+    \hfill \break
+    \footnotesize{ФЕДЕРАЛЬНОЕ ГОСУДАРСТВЕННОЕ БЮДЖЕТНОЕ ОБРАЗОВАТЕЛЬНОЕ УЧРЕЖДЕНИЕ}\\ 
+    \footnotesize{ВЫСШЕГО ПРОФЕССИОНАЛЬНОГО ОБРАЗОВАНИЯ}\\
+    \small{\textbf{«Санкт-Петербургский государственный университет телекоммуникаций им. проф. М. А. Бонч-Бруевича»}}\\
+    \hfill \break
+    \normalsize{Факультет инфокоммуникационных сетей и систем}\\
+    \hfill \break
+    \normalsize{Кафедра теоретических основ связи и радиотехники}\\
+    \hfill\break
+    \hfill \break
+    \hfill \break
+    \hfill \break
+    \large{ \@title }\\
+    \hfill \break
+    \hfill \break
+    \normalsize{Учебная дисциплина <<Теория электрической связи>>}\\
+    \hfill \break
+    \hfill \break
+    \hfill \break
+    \normalsize{Курсовая работа}\\
+    \hfill \break
+    \hfill \break
+  \end{center}
+    
+  \hfill \break
+  \hfill \break
+  
+  \normalsize{
+    \hfill\begin{minipage}{\dimexpr\textwidth-6cm}
+      Студент группы ИКТО-91 Копыл А. В.\\
+      зачетная книжка № 1905141\\\\
+      Руководитель \underline{\hspace{4cm}}
+    \end{minipage}
+  }\\
+  \vfill
+  \begin{center} Санкт-Петербург 2021 \end{center}
+  \thispagestyle{empty} % выключаем отображение номера для этой страницы
+\end{titlepage}
+\makeatother
+% КОНЕЦ ТИТУЛЬНОГО ЛИСТА
+  
+\newpage
+
+Цель курсовой работы -- изучить и разработать систему цифровой связи, 
+оптимальную в отношении флуктуационной помехи и исключающую появления 
+межсимвольной помехи.
+
+\section{Структурная схема системы\\цифровой связи}
+
+Система связи предназначена для передачи аналоговых сообщений
+по цифровому каналу связи.
+\begin{figure}[H]
+  \includegraphics[scale=0.5]{struct_scheme}
+  \caption{Структурная схема цифровой системы связи}
+  \label{fig:struct_scheme}
+\end{figure}
+
+В систему входят следующие функциональные узлы с последующими назначениями:
+\begin{enumerate}
+  \item Источник сообщений -- создает реализации $a(t)$ случайного
+  процесса $A(t)$.
+  \item Аналого-цифровой преобразователь -- преобразует аналоговый
+  сигнал от источника сообщения в последовательность 
+  двоичных отсчетов $b(t)$.
+  \item Кодер -- включает в цифровой поток от АЦП дополнительные
+  символы, предназначенные для повышения помехоустойчивости системы
+  связи;
+  \item Формирователь модулирующих символов -- служит для получения
+  модулирующих сигналов $I(t)$ и $Q(t)$, соответствующих заданному
+  виду модуляции;
+  \item Сглаживающие формирующие фильтры (СФФ1, СФФ2);
+  \item Перемножители -- для получения БМ сигналов: синфазного 
+  $I(t)\cos{\omega_Ct}$ и квадратурного $Q(t)\sin{\omega_Ct}$.
+  \item Фазовращатель -- для получения второго несущего колебания, 
+  ортогонального по отношению к первому;
+  \item Генератор гармонических колебаний -- для получения несущего  
+  колебания;
+  \item Инвертор;
+  \item Сумматор -- для объединения синфазного и квадратурного 
+  сигналов в единый сигнал с квадратурной модуляцией 
+  $S_{КАМ}(t) = I(t)\cos{\omega_Ct} + Q(t)\sin{\omega_Ct}$;
+  \item Непрерывный канал -- среда распространения сигнала 
+  $S_{КАМ}(t)$;
+  \item Демодулятор -- для анализа приходящего сигнала, 
+  искаженного помехами, и принятии решения о переданном сообщении; 
+  \item Преобразователь параллельного кода в последовательный код --
+  для преобразования сигнала с выхода демодулятора в 
+  последовательный формат кодовых комбинаций;
+  \item Декодер -- для исправления части ошибок, возникших при приёме 
+  сообщения $\hat{b}(t)$ вследствие влияния помех; 
+  \item Цифро-аналоговый преобразователь -- для восстановления  
+  аналоговой формы сигнала $\hat{a}(t)$ из его цифрового представления;
+  \item Получатель сообщений.
+\end{enumerate}
+
 \section{Исходные данные}
-\[ m=41 \]
+$m=41$
 \begin{center}
   \begin{tabular}{ | p{5cm} | p{5cm} | p{5cm} | } 
     \hline
-    Предельные уровни аналогового сигнала \(a_{min}\), \(a_{max}\) (В) & \(a_{max}=25,6\) В;\newline\(a_{min}=-25,6\) В & Внести свои данные \\
+    Предельные уровни аналогового сигнала \(a_{мин}\), \(a_{макс}\) (В) & \(a_{макс}=25,6\) В;\newline\(a_{мин}=-25,6\) В & Внести свои данные \\
     \hline
     Верхняя частота спектра аналогового сигнала \(f_В\) & \(f_В =(1+m\cdot 10^{-2})\cdot 10^4\) & \(f_В =14100\) \\ 
     \hline
@@ -73,20 +174,207 @@
     \hline
     Спектральная плотность мощности флуктуационной помехи & 41 & \(N_0=2,3\cdot 10^{-7}\, В^2/Гц\)\\
     \hline
-    q - номер тактового интервала ошибки & \(q=m\mod{3}+1\) & \(q=3\)\\
+    q -- номер тактового интервала ошибки & \(q=m\mod{3}+1\) & \(q=3\)\\
     \hline
     Вид модуляции & КАМ-16 & \\
     \hline
   \end{tabular}
 \end{center}
 
-\section{Аналого-цифровой преобразователь}
+\section{Расчет составляющих системы цифровой связи}
+
+\subsection{Источник сообщений}
+Источник сообщения (ИС) вырабатывает реализации $a(t)$ стационарного
+случайного процесса $A(t)$, типа квазибелого шума с параметрами 
+$a_{мин}$, $a_{макс}$ и $f_В$. Мгновенные значения сообщения
+равновероятны в интервале от значения $a_{мин}$ и до значения 
+$a_{макс}$.
+
+Требуется:
+\begin{enumerate}
+  \item Написать аналитические выражения для плотности вероятности 
+  $w(а)$ мгновенных значений сообщения, функции распределения $F(a)$ и
+  построить их графики (рис. \ref{fig:prob_plots}).
+
+  \[ w(a)=\frac{1}{a_{макс}-a_{мин}}=\frac1\Delta=\frac{1}{25,6+25,6}=0,02 \]
+  \[ F(a)=\int^a_{-\infty}w(a)da=
+  \int^a_{a_{мин}}\frac{1}{\Delta}da=
+  \begin{cases}
+    1, & a > a_{макс}\\
+    \frac{a-a_{мин}}{\Delta}, & a_{мин} \leq a \leq a_{макс}\\
+    0, & a < a_{мин}
+  \end{cases}\]
+  где $\Delta = a_{макс}-a_{мин}=51,2\, В$.
+
+  % Графики
+  \begin{figure}[H]
+    \centering
+    \begin{tikzpicture}
+      \pgfmathsetmacro{\amin}{-25.6}
+      \pgfmathsetmacro{\amax}{25.6}
+      \begin{axis}[
+        width=6cm,height=4cm,
+        axis lines = left,
+        xlabel = $a$,
+        ylabel = {$F(a)$},
+        xmin=-40, xmax=40,
+        ymin=0, ymax=1.25,
+      ]
+        \addplot [
+          domain=-40:\amin, 
+          color=red,
+        ]
+        {0};
+        \addplot [
+          domain=\amin:\amax,
+          samples=2,
+          color=red,
+        ]
+        {(x-\amin) / 51.2};
+        \addplot [
+          domain=\amax:40, 
+          color=red,
+        ]
+        {1};
+      \end{axis}
+    \end{tikzpicture}%
+    \begin{tikzpicture}
+      \pgfmathsetmacro{\amin}{-25.6}
+      \pgfmathsetmacro{\amax}{25.6}
+      \begin{axis}[
+        width=6cm,height=4cm,
+        axis lines = left,
+        xlabel = $a$,
+        ylabel = {$w(a)$},
+        xmin=-40, xmax=40,
+        ymin=0, ymax=0.03,
+      ]
+        \addplot [
+          domain=-40:\amin, 
+          color=blue,
+        ]
+        {0};
+        \addplot [
+          domain=\amin:\amax,
+          samples=2,
+          color=blue,
+        ]
+        {0.02};
+        \addplot [
+          domain=\amax:40, 
+          color=blue,
+        ]
+        {0};
+        \draw [dashed] (axis cs:\amin,0) -- (axis cs:\amin,0.02);
+        \draw [dashed] (axis cs:\amax,0) -- (axis cs:\amax,0.02);
+      \end{axis}
+    \end{tikzpicture}
+    \caption{Графики функции распределения и плотности вероятности}
+    \label{fig:prob_plots}
+  \end{figure}
+  \item Рассчитать математическое ожидание $\overline{A(t)}$ и 
+  дисперсию $D\{A(t)\}$ сообщения $A(t)$.
+  \[ \overline{A(t)}=\int^\infty_{-\infty}a\cdot w(a)da=
+  \int^{a_{макс}}_{a_{мин}}a \frac{1}{a_{макс}-a_{мин}} da=
+  \frac{a^2}{2\Delta} \Biggr|^{a_{макс}}_{a_{мин}}\! =
+  \frac{a_{макс}^2-a_{мин}^2}{2\Delta}=0 \]
+
+  \begin{align*}\begin{split}
+    D\{A(t)\}&=\int^\infty_{-\infty}(a-\overline{A(t)})^2 w(a)da=
+    \int^{a_{макс}}_{a_{мин}}a^2w(a)da\\
+    &=\frac{a^3}{3\Delta}\Biggr|^{a_{макс}}_{a_{мин}}\!
+    =\frac{a_\text{min}^2+a_\text{max}a_\text{min}+a_\text{max}^2}{3}
+    =218,5
+  \end{split}\end{align*}
+  \item Написать аналитическое выражение для спектральной плотности
+  мощности $G_A(f)$ сообщения $A(t)$ и построить график 
+  (рис. \ref{fig:spectr_plot}).
+  \[ G_A(f)=\frac{D\{A(t)\}}{2f_В}=\frac{218,5}{2\cdot1,41\cdot 10^4}
+  =7,7 \,мВ^2/Гц \]
+  \[ G_A(f)=\begin{cases}
+    7,7 \,мВ^2/Гц, & |f| \leq f_B\\
+    0, & |f| > f_B
+  \end{cases} \]
+  \begin{figure}[H]
+    \centering
+    \begin{tikzpicture}
+      \pgfmathsetmacro{\fv}{14100}
+      \pgfmathsetmacro{\Gaf}{0.0077}
+      \begin{axis}[
+        width=6cm,height=4cm,
+        axis lines = left,
+        ylabel = {$G_A(f)$},
+        xmin=-\fv*1.5, xmax=\fv*1.5,
+        ymin=0, ymax=\Gaf*1.5,
+      ]
+        \addplot [
+          domain=-\fv*1.5:-\fv, 
+          color=blue,
+        ]
+        {0};
+        \addplot [
+          domain=-\fv:\fv,
+          samples=2,
+          color=blue,
+        ]
+        {\Gaf};
+        \addplot [
+          domain=\fv:\fv*1.5, 
+          color=blue,
+        ]
+        {0};
+        \draw [dashed] (axis cs:-\fv,0) -- (axis cs:-\fv,\Gaf);
+        \draw [dashed] (axis cs:\fv,0) -- (axis cs:\fv,\Gaf);
+      \end{axis}
+    \end{tikzpicture}
+    \caption{График спектральной плотности мощности.}
+    \label{fig:spectr_plot}
+  \end{figure}
+  \item Найти аналитическое выражение для корреляционной функции
+  $B_A(\tau)$ сообщения $A(t)$ и построить график 
+  (рис. \ref{fig:coorel_plot}). 
+  По форме графика $B_A(\tau)$ определить, 
+  является ли сообщение $A(t)$ эргодическим случайным процессом 
+  или не является таковым.
+
+  \begin{align*}\begin{split}
+    B_A(\tau)&=\int^\infty_{-\infty}\frac{G_A(f)}{2}e^{j2\pi f\tau}df
+    =\int^{f_B}_{-f_B}\frac{G_A}{2}\cos{2\pi f\tau}df\\
+    &=\frac{G_A}2 \frac{\sin{2\pi f \tau}}{2\pi \tau}\Biggr|^{f_B}_{-f_B} 
+    =G_A\frac{\sin{2\pi f_B \tau}}{2\pi\tau}
+  \end{split}\end{align*}
+  \begin{figure}[H]
+    \centering
+    \begin{tikzpicture}
+      \pgfmathsetmacro{\PI}{3.14159}
+      \pgfmathsetmacro{\fv}{14100}
+      \pgfmathsetmacro{\Ga}{0.0077}
+      \begin{axis}[
+        width=10cm,height=6cm,
+        axis lines = left,
+        ylabel = {$B_A(\tau)$},
+        xlabel = {$\tau$},
+      ]
+        \addplot [
+          color=blue,
+          samples=100,
+          domain=-0.01:0.01,
+        ]
+        {\Ga*(sin(2*\PI*\fv*x))/(2*\PI*x)};
+      \end{axis}
+    \end{tikzpicture}
+    \caption{График корреляционной функции $B_A(\tau)$.}
+    \label{fig:coorel_plot}
+  \end{figure}
+\end{enumerate}
+
+\subsection{Аналого-цифровой преобразователь}
 \[ \Delta t \leq \frac{1}{2f_B}=\frac1 {2\cdot 14100} = 3,546\cdot 10^{-5}\, с \]
 \[ f_d=\frac{1}{\Delta t}\geq 2f_B=\frac{1}{3,546\cdot 10^{-5}}=28200 \]
 \[ 377_{10}=101111001_2 \]
 \[ k=9;\, L=2^9 = 512 \]
 
-\section{Кодер}
+\subsection{Кодер}
 \begin{center}
   \includegraphics[scale=0.8]{coder}
 
@@ -99,7 +387,7 @@
   \end{tabular}
 \end{center}
 
-\subsection{Решетка кодера}
+\subsubsection{Решетка кодера}
 
 \input{coder}
 
@@ -107,13 +395,16 @@
 \[T_В=\frac{\Delta t}{2k}=\frac{3,546\cdot 10^{-5}}{2\cdot 9}=
 1,97\cdot 10^{-6}\,с\]
 
-\section{Декодер}
+\subsection{Декодер}
 По каналу передавался код \(\overline{u}=11 10 00 01 10 10 01 11 11\).
 Ошибка произошла на тактовом интервале \(q=3\).
 Таким образом, на вход декодера поступает последовательность 
-\(\overline{Z}=11 \dot{0}0 00 01 10 10 01 11 11\). Точкой обозначен ошибочно принятый символ.
+\(\overline{Z}=11 \overset{\times}{0} 0 00 01 10 10 01 11 11\). Крестиком обозначен ошибочно принятый символ.
 
-\subsection{Диаграмма декодера}
+\subsubsection{Диаграмма декодера}
 \input{decoder}
 
+Наложив полученный путь на решетку кодера, узнаем декодированное слово.
+$\overline{m}_{получ}=101111001$
+
 \end{document}