  The discovery of the astrophysical events GW150926 and GW151226 has
experimentally confirmed the existence of gravitational waves (GW) and has
demonstrated the existence of binary stellar-mass black hole systems. This
finding marks the beginning of a new era that will reveal unexpected features
of our universe. This work presents a basic insight to the fundamental theory
of GW emitted by inspiral binary systems and describes the scientific and
technological efforts developed to measure these waves using the
interferometer-based detector called LIGO. Subsequently, the work presents a
comprehensive data analysis methodology based on the matched filter algorithm,
which aims to recovery GW signals emitted by inspiral binary systems of
astrophysical sources. This algorithm was evaluated with freely available LIGO
data containing injected GW waveforms. Results of the experiments performed to
assess detection accuracy showed the recovery of 85% of the injected GW.
