The effect of spectral resolution on biosignature detection via reflected light observations of the Earth through time

NASA's Habitable Worlds Observatory (HWO) will search for biosignatures on Earth-like exoplanets using reflected light spectroscopy. A critical instrument design parameter is resolving power, which must balance biosignature detectability against exposure time and detector noise constraints. We assess the resolving power needed to detect and characterize key biosignature gases and habitability indicators including O 2, O 3, H 2 O, CH 4, CO 2 and CO across atmospheres representing the Archean, Proterozoic, and Phanerozoic Earth. We combine analytical detectability calculations spanning spectral resolutions (lambda/) R=20 - 5000 with atmospheric retrievals using the rfast radiative transfer model and pyEDITH exposure time calculator for realistic wavelength-dependent noise modeling. In the visible (0.4 - 1.0 mu m), the nominal resolution R Vis=140 is sufficient for detecting O 2 in Phanerozoic-like atmospheres. Higher resolutions could theoretically reduce exposure times for low-O 2 Proterozoic atmospheres, but require >10 times reductions in dark current and could increase H 2 O detection exposure times by about 2 times, penalizing the foundational habitability constraint that anchors downstream biosignature searches. The most efficient path for low-O 2 atmospheres may instead be indirect inference via O 3, whose Hartley-Huggins bands are detectable at R UV about 7. In the near-IR (1.0 - 1.7 mu m), R NIR at least40 is necessary to avoid a degeneracy between CO 2 and CO that could produce false positive detections of abundant CO. The nominal R NIR=70 is sufficient for characterizing all Earth-through-time cases. These results support HWO's current baseline resolution choices and provide actionable guidance for finalizing spectrometer requirements while maintaining technological feasibility for the search for life on exoplanets.