Compared with low earth orbit satellites, the high altitude from geostationary earth orbit (GEO) satellites leads to increased diffraction effects on hyperspectral infrared sounders, which reduce the ensquared energy (EE) within the satellites’ field-of-view (FOV) and increase the pseudo noise of the measurements. To help understand how the instrument performance is affected by EE for the Geostationary Extended Observations Sounder (GXS), a point spread function (PSF) is used to simulate the contribution of each location within and outside of an FOV (4 km by 4km at nadir). The PSF is applied to the Moderate Resolution Imaging Spectroradiometer airborne simulator data with a spatial resolution of 50m, to determine an appropriate EE for GXS. Although wavenumber dependent, an EE of 70% is recommended which ensures all GXS channels have pseudo noise less than the instrument specifications. Regardless of the EE value, the pseudo noise reduces the precision of the temperature and moisture sounding retrievals in the troposphere. Even with an EE of 70%, the pseudo noise slightly increases the root mean square error (RMSE) by 3-4% for temperature and by 1-4% for relative humidity. If an EE of 70% is difficult to meet, due to cost for example, a lower EE can be a good tradeoff with only a slight degradation in the sounding retrieval quality, which may be overcome with spatial averaging using the inverted cone method. An EE of 50% would lead to an RMSE increase of about 6% for temperature, and 3-6% for the relative humidity.
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