  Gravitational radiation offers a unique possibility to study the large-scale
structure of the Universe, gravitational wave sources and propagation in a
completely novel way. Given that gravitational wave maps contain a wealth of
astrophysical and cosmological information, interpreting this signal requires a
non-trivial multidisciplinary approach. In this work we present the complete
computation of the signal produced by compact object mergers accounting for a
detailed modelling of the astrophysical sources and for cosmological
perturbations. We develop the CLASS_GWB code, which allows for the computation
of the anisotropies of the astrophysical gravitational wave background,
accounting for source and detector properties, as well as effects of
gravitational wave propagation. We apply our numerical tools to robustly
compute the angular power spectrum of the anisotropies of the gravitational
wave background generated by astrophysical sources in the LIGO-Virgo frequency
band. The end-to-end theoretical framework we present can be easily applied to
different sources and detectors in other frequency bands. Moreover, the same
numerical tools can be used to compute the anisotropies of gravitational wave
maps of the sky made using resolved events.
