From e37d5744049f24cc066915783983db40c3ea51c5 Mon Sep 17 00:00:00 2001 From: ali Date: Wed, 13 May 2015 09:49:14 +0200 Subject: [PATCH] Update by Ali --- CHAPITRE_04.tex | 27 +++++++++++++++------------ Figures/ch4/OneSensingRound.jpg | Bin 0 -> 46748 bytes Thesis.toc | 18 +++++++++--------- 3 files changed, 24 insertions(+), 21 deletions(-) create mode 100644 Figures/ch4/OneSensingRound.jpg diff --git a/CHAPITRE_04.tex b/CHAPITRE_04.tex index 07788db..9770cc7 100644 --- a/CHAPITRE_04.tex +++ b/CHAPITRE_04.tex @@ -58,8 +58,7 @@ There are five possible status for each sensor node in the network: \subsection{Primary Point Coverage Model} \label{ch4:sec:02:02} \indent Instead of working with the coverage area, we consider for each sensor a set of points called primary points. We also assume that the sensing disk defined by a sensor is covered if all the primary points of this sensor are covered. By knowing the position (point center: ($p_x,p_y$)) of a wireless sensor node and it's $R_s$, we calculate the primary points directly based on the proposed model. We use these primary points (that can be increased or decreased if necessary) as references to ensure that the monitored region of interest is covered by the selected set of sensors, instead of using all the points in the area. - -\indent We can calculate the positions of the selected primary +We can calculate the positions of the selected primary points in the circle disk of the sensing range of a wireless sensor node (see figure~\ref{fig1}) as follows:\\ @@ -90,22 +89,26 @@ $X_{23}=( p_x + R_s * (\frac{- 1}{2}), p_y + R_s * (\frac{\sqrt{3}}{2})) $\\ $X_{24}=( p_x + R_s * (\frac{- 1}{2}), p_y + R_s * (\frac{-\sqrt{3}}{2})) $\\ $X_{25}=( p_x + R_s * (\frac{1}{2}), p_y + R_s * (\frac{-\sqrt{3}}{2})) $. -\begin{figure}[h!] + + +\begin{figure} %[h!] \centering - \begin{multicols}{3} + \begin{multicols}{2} \centering -\includegraphics[scale=0.20]{Figures/ch4/fig21.pdf}\\~ ~ ~ ~ ~(a) -\includegraphics[scale=0.20]{Figures/ch4/fig22.pdf}\\~ ~ ~ ~ ~(b) -\includegraphics[scale=0.20]{Figures/ch4/principles13.pdf}\\~ ~ ~ ~ ~(c) -\hfill -\includegraphics[scale=0.20]{Figures/ch4/fig24.pdf}\\~ ~ ~(d) -\includegraphics[scale=0.20]{Figures/ch4/fig25.pdf}\\~ ~ ~(e) -\includegraphics[scale=0.20]{Figures/ch4/fig26.pdf}\\~ ~ ~(f) +\includegraphics[scale=0.33]{Figures/ch4/fig21.pdf}\\~ ~ ~ ~ ~ ~ ~ ~(a) +\includegraphics[scale=0.33]{Figures/ch4/principles13.pdf}\\~ ~ ~ ~ ~ ~(c) +\hfill \hfill +\includegraphics[scale=0.33]{Figures/ch4/fig25.pdf}\\~ ~ ~ ~ ~ ~(e) +\includegraphics[scale=0.33]{Figures/ch4/fig22.pdf}\\~ ~ ~ ~ ~ ~ ~ ~ ~(b) +\hfill \hfill +\includegraphics[scale=0.33]{Figures/ch4/fig24.pdf}\\~ ~ ~ ~ ~ ~ ~(d) +\includegraphics[scale=0.33]{Figures/ch4/fig26.pdf}\\~ ~ ~ ~ ~ ~ ~(f) \end{multicols} \caption{Wireless Sensor Node represented by (a)5, (b)9, (c)13, (d)17, (e)21 and (f)25 primary points respectively} \label{fig1} \end{figure} - + + \subsection{Main Idea} diff --git a/Figures/ch4/OneSensingRound.jpg 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