On the transfer matrix of a MIMO system

Francois Bentosela; Horia Cornean; Bernard Henri Fleury; Nicola Marchetti

doi:10.1002/mma.1415

On the transfer matrix of a MIMO system

Francois Bentosela, Horia Cornean, Bernard Henri Fleury, Nicola Marchetti

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
Volume	34
Issue number	8
Pages (from-to)	963-976
Number of pages	14
ISSN	0170-4214
DOIs	https://doi.org/10.1002/mma.1415
Publication status	Published - May 2011

Keywords

Maxwell equations
second-order elliptic equations
MIMO systems
transfer matrix

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title = "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 an MIMO channel, e.g. its capacity and its number of degrees of freedom.",

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AU - Bentosela, Francois

AU - Cornean, Horia

AU - Fleury, Bernard Henri

AU - Marchetti, Nicola

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N2 - 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.

AB - 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.

KW - Maxwell equations

KW - second-order elliptic equations

KW - MIMO systems

KW - transfer matrix

U2 - 10.1002/mma.1415

DO - 10.1002/mma.1415

M3 - Journal article

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SP - 963

EP - 976

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 8

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On the transfer matrix of a MIMO system

Abstract

Keywords

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