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Increasing the sensitivity of a gravitational-wave (GW) detector improves ourability to measure the characteristics of detected sources. It also increasesthe number of weak signals that contribute to the data. Because GW detectorshave nearly all-sky sensitivity, they can be subject to a confusion limit: Manysources which cannot be distinguished may be measured simultaneously, defininga stochastic noise floor to the sensitivity. For GW detectors operating atpresent and for their planned upgrades, the projected event rate issufficiently low that we are far from the confusion-limited regime. However,some detectors currently under discussion may have large enough reach to binaryinspiral that they enter the confusion-limited regime. In this paper, weexamine the binary inspiral confusion limit for terrestrial detectors. Weconsider a broad range of inspiral rates in the literature, several plannedadvanced gravitational-wave detectors, and the highly advanced "EinsteinTelescope" design. Though most advanced detectors will not be impacted by thislimit, the Einstein Telescope with a very low frequency "seismic wall" may besubject to confusion noise. At a minimum, careful data analysis will be requireto separate signals which will appear confused. This result should be borne inmind when designing highly advanced future instruments.

Gravitational-wave confusion background from cosmological compact binaries: Implications for future terrestrial detectors