The concept of information transmission in a multiple antenna channel with scattering objects is defined from physical principles. It is shown that the amount of information that can be transported over the channel to the receiver depends on both the spatial and the frequency bandwidth of the radiating system composed by the transmitting antennas and the scattering objects. The spatial information content can be quantified in a similar fashion than its temporal counterpart, by reducing the inverse problem of field reconstruction to a communication problem in space, and determining the relevant communication modes of the channel by rigorously applying the sampling theorem on the field's vector space. The consequence is a space-time information duality principle arising in the computation of the capacity of the radiating system.
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