Conjugate gradient algorithm in Banach spaces to enhance the spatial resolution of microwave remote sensing data

Flavia Lenti, Claudio Estatico, David Titley-Péloquin, Ferdinando Nunziata, Maurizio Migliaccio, Serge Gratton

Abstract: An innovative technique, based on a generalization of the conjugate gradient (CG) method in Banach spaces, is first proposed to enhance the spatial resolution of microwave radiometer measurements. This approach allows reducing the over-smoothing effects and the oscillations that are often present in Hilbert reconstructions and it is very effective in terms of processing time. Experiments undertaken on actual SSM/I data confirm the soundness of the proposed approach and show that CG is able to provide reconstructions similar to the conventional Landweber ones but with a significantly reduced processing time.