Reconstruction of Radar reflectivity densities in a narrowband regime

This paper is concerned with reconstruction problems arising in the context of radar signal analysis. The goal in radar is to obtain information about objects by emitting certain signals and analyzing the reflected echoes. In this paper, we shall focus on the narrowband model for radar echoes and on the case of continuously distributed objects D (reflectivity density). Following the approach of Naparst and Rebolla-Neira et al., we suggest to treat this problem by transmitting not just one signal but a family of signals. Indeed, a reconstruction formula can be derived, provided that the set of outgoing signals forms a frame.