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ABmact-In the analysis of antenna temperafare maps of the earth obtained by satelliteborne microwave radiometers, estimates of brightness temperatures or averages of brightness temperatures over areas considerabIy smaller than the region sensed at a given position of the radiometer antenna are often needed. An appfication of the BackusGitbert methodoIogy is made to obtain an objective criterion of the best resotution (in a teast squares sense) obtainable from a given system and to investigate the trade-off between resolution and noise in the derived average brightness temperatures The mathematically rekited problem of simaltaneoudy analyzing antenna temperature measurements made at different frequencies by antennas with noncoincident antenna patterns is aIS0 considered.

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