bilby.gw.utils.overlap

bilby.gw.utils.overlap(signal_a, signal_b, power_spectral_density=None, delta_frequency=None, lower_cut_off=None, upper_cut_off=None, norm_a=None, norm_b=None)

Compute the overlap between two signals

$$\mathcal{O}=\frac{4\mathrm{\Delta }f}{N_a{N}_b}\sum _i\frac{h_{a,i}^{\ast }{h}_{b,i}}{S_i}$$

Parameters:

signal_a: array-like

signal_b: array-like

power_spectral_densityarray-like

delta_frequency: float

Frequency spacing of the signals

lower_cut_off: float

Minimum frequency for the integral

upper_cut_off: float

Maximum frequency for the integral

norm_a: float

Normalizing factor for signal_a

norm_b: float

Normalizing factor for signal_b

Returns:

float

The overlap