Eldar, “Spectrum-blind reconstruction of multiband signals

We develop a perfect reconstruction scheme from point-wise sub-Nyquist rate samples for multi-band signals. Our approach is blind, namely the knowledge of the band locations is not used in the de-sign of either the sampling or the reconstruction stage. This is in contrast to previous approaches to reconstruct this class of signals, which required information about the spectral support at least in the reconstruction stage. Our scheme guarantees exact recovery for a wide class of multi-band signals without the use of heuristics or dis-cretization methods. Index Terms — Landau-Nyquist rate, multiband sampling, nonuniform periodic sampling