On the transfer matrix of a MIMO system
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 a MIMO channel, e.g. its capacity and its number of degrees of freedom.
- Publication:
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Mathematical Methods in the Applied Sciences
- Pub Date:
- May 2011
- DOI:
- 10.1002/mma.1415
- arXiv:
- arXiv:1012.3323
- Bibcode:
- 2011MMAS...34..963B
- Keywords:
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- Computer Science - Information Theory;
- Mathematical Physics
- E-Print:
- Accepted for publication in Mathematical Methods in the Applied Sciences