Research Article

On the transfer matrix of a MIMO system

  1. François Bentosela1,2,
  2. Horia D. Cornean2,*,
  3. Bernard H. Fleury3,
  4. Nicola Marchetti3

Article first published online: 30 JAN 2011

DOI: 10.1002/mma.1415

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 34, Issue 8, pages 963–976, 30 May 2011

Additional Information

How to Cite

Bentosela, F., Cornean, H. D., Fleury, B. H. and Marchetti, N. (2011), On the transfer matrix of a MIMO system. Math. Meth. Appl. Sci., 34: 963–976. doi: 10.1002/mma.1415

Author Information

  1. 1

    Centre de Physique Théorique, Campus de Luminy, Case 907—13288 Marseille Cedex 9, France

  2. 2

    Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark

  3. 3

    Department of Electronic Systems, Aalborg University, Fredrik Bajers Vej 7A, 9220 Aalborg, Denmark

*Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark

Publication History

  1. Issue published online: 6 MAY 2011
  2. Article first published online: 30 JAN 2011
  3. Manuscript Received: 1 SEP 2010

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Keywords:

  • Maxwell equations;
  • second-order elliptic equations;
  • MIMO systems;
  • transfer matrix

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.

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