Commit c6be9a29 by Parameswaran Ajith

added gwda tutorial

parent 73ea2549
......@@ -212,7 +212,7 @@ $\sigma^2$ is the variance of the noise.
\subsubsection{Problems}
\begin{enumerate}
\item You are given a time-series data $d(t)$. This contains a simulated gravitational-wave signal from a black hole binary buried in zero-mean, Gaussian white noise $n(t)$ with standard deviation $\sigma = 10^{-21}$. i.e., $d(t) = n(t) + h(t)$, where $h(t)$ is the leading order PN waveform from a binary with (unknown masses) $m_1$ and $m_2$. Detect the location of the signal in the data and values of $m_1$ and $m_2$ by maximising the correlation of the waveform templates with the data.:
\item You are \href{http://gitlab.icts.res.in/ajith/gwcourse2023/blob/master/tuturials/fake_gw_data.dat.gz}{given} a time-series data $d(t)$. This contains a simulated gravitational-wave signal from a black hole binary buried in zero-mean, Gaussian white noise $n(t)$ with standard deviation $\sigma = 10^{-21}$. i.e., $d(t) = n(t) + h(t)$, where $h(t)$ is the leading order PN waveform from a binary with (unknown masses) $m_1$ and $m_2$. Detect the location of the signal in the data and values of $m_1$ and $m_2$ by maximising the correlation of the waveform templates with the data.:
\begin{equation}
R_\mathrm{max} = \mathrm{max}~_{m_1, m_2,\tau}~ R(\tau),
\end{equation}
......
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