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We construct a model for the angular power spectrum of the instrumental noisein interferometer networks mapping gravitational wave backgrounds (GWBs) as afunction of detector noise properties, network configuration and scan strategy.We use the model to calculate the noise power spectrum for current and futureground-based experiments, as well as for planned space missions. We present ourresults in a language similar to that used in cosmic microwave background andintensity mapping experiments, and connect the formalism with the sensitivitycurves that are common lore in GWB analyses. Our formalism is implemented in alightweight python module that we make publicly available athttps://github.com/damonge/schNell.

The $N_\ell$ of gravitational wave background experiments