houhou_sim.tex

\section{$B%9%Q%$%/H/2P%7%_%e%l!<%?(B}
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$B%Q%$%/$NGH7A%G!<%?$r%F%s%W%l!<%H$H$7$F!"<!$N;v$r:F8=$7$?!#(B
\begin{itemize}
 \item $BJ#?t$N%K%e!<%m%s$K$h$k%9%Q%$%/$NH/2PNs!#(B
 \item $B4QB,$5$l$k%9%Q%$%/GH7A%G!<%?$KIU2C$9$k%N%$%:!#(B
 \item $B%9%Q%$%/EE0L$N%P!<%9%HH/2P$K$h$k8:?j!#(B
 \item 2$B$D$N%9%Q%$%/$NH/2P$,<B83%G!<%?$G$N(B40$BE@(B(0.0016s)$B0JFb$K5/$-$?$H$-$K$*$3$k!"=EJ#$7$?%9%Q%$%/$NGH7A%G!<%?!#(B
\end{itemize}


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\begin{quote}
\begin{enumerate}
\item $B%9%Q%$%/GH7A$N%F%s%W%l!<%H$NMQ0U!#(B
\par
$B$^$:!"0[$J$kJ#?t$N%K%e!<%m%s(B$i$$B8D!J%K%e!<%m%s$NHV9f$r(B1$B$+$i(Bi$BHV$H$9$k!K$+$iH/2P$7$?(B$i$$B8D$N%9%Q%$%/GH7A%G!<%?$rMQ0U$9$k!#(B
$B$=$l$>$l$NGH7A%G!<%?$r%F%s%W%l!<%H$H$7!"$=$l$rGH7A%G!<%?$HF1$8$/(B
      $\mathbf{template}^{(i)}$$B$H(B40$B<!85$N%Y%/%H%k$GI=$9!#(B
$BGH7A%G!<%?$O!"0[$J$k(BEV$B%U%!%$%k$+$i!"%9%Q%$%/GH7A$rFI$_9~$`$3$H$GMQ0U$9$k!#(B

\item $BH/2P;~4V$N@_Dj!#(B
\par
$B$=$l$>$l$N%K%e!<%m%s$+$i$N%9%Q%$%/$NH/2P;~4V$r@_Dj$9$k!#H/2P;~4V$K$O(B
$B%]%"%=%s2aDx$r2>Dj$9$k!#(BR$B8@8l$N4X?t(Brpois()$B$r;HMQ$7$F!"J?6QCM(B$\lambda_{Pois}$$B$N%]%"%=%sJ,I[$+$i5?;wMp?t$r@8@.$9$k!#(B
    
\begin{equation}
 \varDelta t_{j}^{(i)} \sim Pois(\lambda_{pois}) 
\end{equation}
$B$3$l$GA4$F$N%9%Q%$%/$N(BISI$B$,Dj5A$G$-$?$N$G!"%F%s%W%l!<%H$r;~4V<4>e$KJB$Y$k;v$,$G$-$k(B
\item $B%9%Q%$%/GH7A%G!<%?$N8:?j!#(B
\par 
$B%9%Q%$%/GH7A$r(BISI$B$K4p$E$$8:?j$5$;$k!#(B
\begin{equation}
 \mathbf{s} = (1 - \delta \exp(-\lambda \varDelta t_{i}^{(i))}) \mathbf{template^{(i)}} 
\end{equation}

$\delta,\lambda$$B$ODj?t$G$"$k!#>e<0$K4p$E$$$F%9%Q%$%/EE0L$r(B\fgref{spsort_idea_gensui}$B$N$h$&$K(BISI$B$,C;$1$l$PC;$$$[$IBg$-$/8:?j$5$;$k!#(B
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$B%N%$%:$O@55,J,I[(B$N(0,\tau^{2})$$B$+$i@8@.$7$F!"(B$\lambda$$B$KIU2C$9$k!#(B
\begin{eqnarray}
 \lambda &=& \lambda + \epsilon \\
 \epsilon &\sim& N(0,\tau_{1}^{2})
  \label{eq_noise_lambda}
\end{eqnarray}

\item $B%9%Q%$%/GH7A%G!<%?$X$N%N%$%:$NIU2C!#(B
\par
$B$3$3$G!"%9%Q%$%/GH7A$K%N%$%:$r2C$($k!#%N%$%:$O@55,J,I[$+$i5?;wMp?t$r%9%Q%$%/GH7A$N%G!<%??t(B
(40$B8D(B)$B$r@8@.$9$k!#(B
\begin{equation}
 \mathbf{noise} = n_{1},n_{2},\dots,n_{39} \sim N(\mu,\tau_{2}^{2})
  \label{eq_noise_spwave}
\end{equation}
\begin{equation}
 \mathbf{S_{i}} \leftarrow \mathbf{S_{i}} + \mathbf{noise}
\end{equation}

\item $B%9%Q%$%/GH7AF1;N$N=EJ#$N:F8=!#(B
\par
$B$3$N$h$&$K3F%9%Q%$%/$NH/2P;~4V$H%9%Q%$%/GH7A%G!<%?$r:n$C$?8e$K!"(B
$B3F%9%Q%$%/$NH/2P;~4V$r%A%'%C%/$7!"$b$7(B2$B$D$N%9%Q%$%/;~4V$N4V3V$,%9%Q%$%/(B
$BGH7A%G!<%?0l$DJ,!J(B$0.0016s$$B!K(B
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$B2>$K!"(B2$B$D$N%9%Q%$%/GH7A(B$\mathbf{S}_{a},\mathbf{S}_b$$B$,=EJ#$7$?$H$9$k$H!"(B
$\mathbf{S}_{a}=(a_1,a_2,\dots,a_40),\mathbf{S}_b=(b_1,b_2,\dots,b_{40})$$B$N$=$l$>$l$NGH7A$N(B
$B=EJ#$7$?8e$NGH7A(B$\mathbf{overlapped} \
      \mathbf{S}_{a} = (a'_1,a'_2,\dots,a'_40),\mathbf{overlapped} \
      \mathbf{S}_{b} = (b'_1,b'_2,\dots,b'_40)$
$B$O!"(B
\begin{eqnarray}
 a'_i &=&
  max(a_i,b_i) \\
 b'_i &=&
  max(a_i,b_i) \\
i=1 &\sim& 40 
\end{eqnarray}
$B$H$7$F!"=EJ#$,@8$8$?6h4V(B(40$BE@(B)$B$K$*$1$k%G!<%?$K$*$$$F!"(B
      $\mathbf{S}_{1},\mathbf{S}_{2}$
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\end{enumerate}

\end{quote}