Optimal Sampling and Reconstruction in Multiple - Input - Multiple - Output ( MIMO ) Systems 1
نویسندگان
چکیده
We consider a sampling scheme where a set of multiband input signals are passed through a MIMO liner time-invariant system and the outputs are sampled. MIMO sampling is a very general scheme that encompasses various other schemes, including Papoulis’ generalized sampling and nonuniform sampling as special cases. We present necessary density conditions for stable MIMO sampling. These results generalize Landau’s classical density results for stable sampling and interpolation. Under the additional assumption of periodic (but possibly nonuniform) sampling sets, we present necessary and sufficient conditions on the system and sampling rates for stable MIMO sampling.
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