On the transfer matrix of a MIMO system
Article first published online: 30 JAN 2011
Copyright © 2011 John Wiley & Sons, Ltd.
Mathematical Methods in the Applied Sciences
Volume 34, Issue 8, pages 963–976, 30 May 2011
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
- Issue published online: 6 MAY 2011
- Article first published online: 30 JAN 2011
- Manuscript Received: 1 SEP 2010
- Maxwell equations;
- second-order elliptic equations;
- MIMO systems;
- transfer matrix
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.