/[dtapublic]/pubs/books/ucbka/trunk/c_eds0/c_eds0.tex
ViewVC logotype

Contents of /pubs/books/ucbka/trunk/c_eds0/c_eds0.tex

Parent Directory Parent Directory | Revision Log Revision Log


Revision 4 - (show annotations) (download) (as text)
Thu Oct 6 03:15:02 2016 UTC (7 years, 11 months ago) by dashley
File MIME type: application/x-tex
File size: 2472 byte(s)
Initial commit after migrating from CVS.
1 %$Header: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v 1.3 2002/10/31 04:02:23 dtashley Exp $
2
3 \chapter[Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}]
4 {Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}, \cedczerolongtitle{}}
5
6 \label{ceds0}
7
8 \vworkexercisechapterheader{}
9
10 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
11 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
12 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
13
14 \begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}
15
16 \begin{figure}
17 \centering
18 \includegraphics[height=3.0in]{c_eds0/exe001.eps}
19 \caption{Graphical Solution To Exercise \ref{exe:cedc0:sexe0:01}}
20 \label{fig:ceds0:exe01:01}
21 \end{figure}
22
23 The relationships between the four codewords of this code can be
24 depicted as in Figure \ref{fig:ceds0:exe01:01}. For example,
25 the Hamming distance between 0001 and 1010 is 3, and the
26 Hamming distance between 0110 and 1010 is 2.
27
28 Since the minimum Hamming distance $\hat{d}$ is defined as the minimum
29 Hamming distance between any two codewords, this distance is 2.
30
31 \end{vworkexercisesolution}
32
33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
36
37
38 %\vworkexerciseseparator
39 %\begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}
40 %Placeholder.
41 %\end{vworkexercisesolution}
42 \vworkexercisechapterfooter
43
44
45 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
46 \vfill
47 \noindent\begin{figure}[!b]
48 \noindent\rule[-0.25in]{\textwidth}{1pt}
49 \begin{tiny}
50 \begin{verbatim}
51 $RCSfile: c_eds0.tex,v $
52 $Source: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v $
53 $Revision: 1.3 $
54 $Author: dtashley $
55 $Date: 2002/10/31 04:02:23 $
56 \end{verbatim}
57 \end{tiny}
58 \noindent\rule[0.25in]{\textwidth}{1pt}
59 \end{figure}
60
61 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
62 % $Log: c_eds0.tex,v $
63 % Revision 1.3 2002/10/31 04:02:23 dtashley
64 % Evening safety checkin.
65 %
66 % Revision 1.2 2002/10/30 02:06:13 dtashley
67 % Substantial edits of error-detecting and error-correcting codes chapter.
68 %
69 % Revision 1.1 2002/10/19 02:47:51 dtashley
70 % Initial checkin.
71 %
72 %End of file C_EDS0.TEX

dashley@gmail.com
ViewVC Help
Powered by ViewVC 1.1.25