Necessary density conditions for MIMO sampling of multiband inputs

01 January 2002

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We consider a sampling scheme where a set of multiband input signals is passed through a MIMO channel and the outputs are sampled nonuniformly. MIMO sampling is a general scheme that encompasses various other schemes, including Papoulis' generalized sampling and nonuniform sampling as special cases. We present necessary density conditions for stable nonuniform MIMO sampling and consistent reconstruction of the multiband inputs.