Here are some details for how to go about finding these signals in the noise. All the techniques you need for recovering these signals have been $($or will be$)$ covered in your classes this semester. Look at the worked examples to the problems especially!

In the Universe in which this experiment takes place, there are only $4$ possible sources of gravitational$-$wave signals. For $3$ of these sources scientists have already managed to model the gravitational$-$wave signal that such a source would emit. These signals are included as part of the provided data file. For the fourth source of gravitational$-$waves you must calculate the signal yourself before searching for it$.$ This gives you a chance to use your lessons about integrating differential equations.

Details of the signals are:

$$ Signal $1$ is a binary black hole merger where both bodies are $10$ times as heavy as our Sun

$$ Signal $2$ is a binary black hole merger where both bodies are $5$ times as heavy as our Sun

$$ Signal $3$ is a binary black hole merger where both bodies are $20$ times as heavy as our Sun

$$ Signal $4($the one that you must generate$)$ is a binary black hole merger where both bodies are $40$ times as heavy as our Sun. Details for generating this occur later in this document.