On the necessary density for spectrum-blind nonuniform sampling

It is known that in the absence of distortion, the minimum average sampling density for a multiband signal is given by its spectral occupancy [1]. Furthermore, there exist nonuniform sampling patterns of the same average sampling density such that reconstruction is feasible even if the actual spectral support of the multiband signal is unknown [2]. This is called spectrum-blind nonuniform sampling. However, if the samples are distorted, an increased sampling density may lead to superior reconstruction.