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On the transfer matrix of a MIMO system
Authors:François Bentosela  Horia D Cornean  Bernard H Fleury  Nicola Marchetti
Institution:1. Centre de Physique Théorique, Campus de Luminy, Case 907—13288 Marseille Cedex 9, France;2. Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark;3. Department of Electronic Systems, Aalborg University, Fredrik Bajers Vej 7A, 9220 Aalborg, Denmark
Abstract:We develop a deterministic ab initio model for the input–output relationship of a multiple‐input multiple‐output (MIMO) wireless channel, starting from the Maxwell equations combined with Ohm's law. The main technical tools are scattering and geometric perturbation theories. The derived relationship can lead us to a deep understanding of how the propagation conditions and the coupling effects between the elements of multiple‐element arrays affect the properties of an MIMO channel, e.g. its capacity and its number of degrees of freedom. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:Maxwell equations  second‐order elliptic equations  MIMO systems  transfer matrix
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