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Eq. (3.3) and with some algebraic manipulations, the tangent-linear surface temperature, wind speed, and atmospheric transmittance can be related to the measurements at four AMSR-E channels as where 𝗔 is a 4 × 4 matrix and the elements are related to atmospheric transmittance, its derivative to effective air temperatures at 6 and 10 GHz; and to sea surface emissivity and its derivative relative to surface temperature, wind speed, and salinity; 𝗔 T is the matrix transposed from 𝗔; and 𝗘 is
Eq. (3.3) and with some algebraic manipulations, the tangent-linear surface temperature, wind speed, and atmospheric transmittance can be related to the measurements at four AMSR-E channels as where 𝗔 is a 4 × 4 matrix and the elements are related to atmospheric transmittance, its derivative to effective air temperatures at 6 and 10 GHz; and to sea surface emissivity and its derivative relative to surface temperature, wind speed, and salinity; 𝗔 T is the matrix transposed from 𝗔; and 𝗘 is