The hidden and exposed terminal/node problems in wireless communications, commonly encountered with Wi-Fi networks.
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% Hidden and exposed terminal problems in Wi-Fi % Author: Philip Withnall \documentclass{article} \usepackage{tikz} \usepackage[active,tightpage]{preview} \PreviewEnvironment{center} \setlength\PreviewBorder{10pt}% \usetikzlibrary{decorations.pathreplacing} % for expanding waves % Style for radio transmission paths. \tikzstyle{transmission}=[decorate, decoration={expanding waves, angle=7, segment length=2}] % Path definition for a base station. Parameters % 1. Node name. % 2. Node label. % 3. Path graphic options. \newcommand{\basestation}[3]{% \path[draw, thick, #3] (0, 0) node(#1){#2} (0*120+90:0.5cm) -- (1*120+90:0.5cm) -- (2*120+90:0.5cm) -- cycle } \begin{document} \begin{center} \begin{tikzpicture} % Shade the intersection where signals collide. \begin{scope} \clip (-2, 0) circle [radius=2.5]; \fill[fill=purple!20] (2, 0) circle [radius=2.5]; \end{scope} % Signal radii. \draw[red] (-2, 0) circle [radius=2.5]; % A \draw[dashed, green] (0, 0) circle [radius=2.5]; % B \draw[blue] (2, 0) circle [radius=2.5]; % C % Base stations. \basestation{BS1}{A}{red, shift={(-2, 0)}}; \basestation{BS2}{B}{green}; \basestation{BS3}{C}{blue, shift={(2, 0)}}; % Signal arrows. \draw[red, transmission] (BS1) -- (BS2); \draw[blue, transmission] (BS3) -- (BS2); \end{tikzpicture} \medskip % Exposed terminal problem. \begin{tikzpicture} % Signal radii. \draw[dashed, red] (-2, 0) circle [radius=2.5]; % A \draw[green] (0, 0) circle [radius=2.5]; % B \draw[dashed, blue] (2, 0) circle [radius=2.5]; % C \draw[dashed, orange] (4, 0) circle [radius=2.5]; % D % Base stations. \basestation{BS1}{A}{red, shift={(-2, 0)}}; \basestation{BS2}{B}{green}; \basestation{BS3}{C}{blue, shift={(2, 0)}}; \basestation{BS4}{D}{orange, shift={(4, 0)}}; % Signal arrows. \draw[green, transmission] (BS2) -- (BS1); \draw[green, transmission] (BS2) -- (BS3); \draw[blue, transmission, dotted] (BS3) -- (BS4); \end{tikzpicture} \end{center} \end{document}
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