Precoding techniques for undersampled multi-receiver communication systems

In this paper, we investigate the feasibility of blind signal recovery from undersampled data collected from a plurality receivers. We show that although an undersampled communication system is not completely identifiable in general, such an obstacle can be overcome by employing proper precoding with an arbitrary amount of the bandwidth expansion in the transmitter. The main contribution of this study is the formulation of a generic framework for the undersampled systems, and the derivation of conditions for a class of filters which we term ambiguity resistant precoders.