Hierarchical approach to matched filtering using a reduced basis

Understand

Searching for gravitational waves from compact binary coalescence (CBC) is performed by matched filtering the observed strain data from gravitational-wave observatories against a discrete set of waveform templates designed to accurately approximate the expected gravitational-wave signal, and are chosen to efficiently cover a target search region.

• The computational cost of matched filtering scales with both the number of templates required to cover a parameter space and the in-band duration of the waveform.
• Both of these factors increase in difficulty as the current observatories improve in sensitivity, especially at low frequencies, and may pose challenges for third-generation observatories.
• Reducing the cost of matched filtering would make searches of future detector data more tractable.