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Capacity Bounds and Degrees of Freedom for MIMO Antennas

Ehrenborg, Casimir LU orcid ; Gustafsson, Mats LU orcid and Capek, Miloslav LU (2021) In IEEE Transactions on Antennas and Propagation 69(9). p.5388-5400
Abstract

The optimal spectral efficiency and number of independent channels for MIMO antennas in isotropic multipath channels are investigated when bandwidth requirements are placed on the antenna. By posing the problem as a convex optimization problem restricted by the port Q-factor a semi-analytical expression is formed for its solution. The antennas are simulated by method of moments and the solution is formulated both for structures fed by discrete ports, as well as for design regions characterized by an equivalent current. It is shown that the solution is solely dependent on the eigenvalues of the so-called energy modes of the antenna. The magnitude of these eigenvalues is analyzed for a linear dipole array as well as a plate with embedded... (More)

The optimal spectral efficiency and number of independent channels for MIMO antennas in isotropic multipath channels are investigated when bandwidth requirements are placed on the antenna. By posing the problem as a convex optimization problem restricted by the port Q-factor a semi-analytical expression is formed for its solution. The antennas are simulated by method of moments and the solution is formulated both for structures fed by discrete ports, as well as for design regions characterized by an equivalent current. It is shown that the solution is solely dependent on the eigenvalues of the so-called energy modes of the antenna. The magnitude of these eigenvalues is analyzed for a linear dipole array as well as a plate with embedded antenna regions. The energy modes are also compared to the characteristic modes to validate characteristic modes as a design strategy for MIMO antennas. The antenna performance is illustrated through spectral efficiency over the Q-factor, a quantity that is connected to the capacity. It is proposed that the number of energy modes below a given Q-factor can be used to estimate the degrees of freedom for that Q-factor.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
antenna theory, computational electromagnetics, degrees of freedom, eigenvalues and eigenfunctions, MIMO communication, optimization
in
IEEE Transactions on Antennas and Propagation
volume
69
issue
9
pages
13 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85104184413
ISSN
0018-926X
DOI
10.1109/TAP.2021.3069432
language
English
LU publication?
yes
id
a70426c4-9a8f-48c6-b4dc-67108f13cb27
date added to LUP
2021-04-27 09:20:10
date last changed
2024-03-05 10:39:04
@article{a70426c4-9a8f-48c6-b4dc-67108f13cb27,
  abstract     = {{<p>The optimal spectral efficiency and number of independent channels for MIMO antennas in isotropic multipath channels are investigated when bandwidth requirements are placed on the antenna. By posing the problem as a convex optimization problem restricted by the port Q-factor a semi-analytical expression is formed for its solution. The antennas are simulated by method of moments and the solution is formulated both for structures fed by discrete ports, as well as for design regions characterized by an equivalent current. It is shown that the solution is solely dependent on the eigenvalues of the so-called energy modes of the antenna. The magnitude of these eigenvalues is analyzed for a linear dipole array as well as a plate with embedded antenna regions. The energy modes are also compared to the characteristic modes to validate characteristic modes as a design strategy for MIMO antennas. The antenna performance is illustrated through spectral efficiency over the Q-factor, a quantity that is connected to the capacity. It is proposed that the number of energy modes below a given Q-factor can be used to estimate the degrees of freedom for that Q-factor.</p>}},
  author       = {{Ehrenborg, Casimir and Gustafsson, Mats and Capek, Miloslav}},
  issn         = {{0018-926X}},
  keywords     = {{antenna theory; computational electromagnetics; degrees of freedom; eigenvalues and eigenfunctions; MIMO communication; optimization}},
  language     = {{eng}},
  number       = {{9}},
  pages        = {{5388--5400}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Antennas and Propagation}},
  title        = {{Capacity Bounds and Degrees of Freedom for MIMO Antennas}},
  url          = {{http://dx.doi.org/10.1109/TAP.2021.3069432}},
  doi          = {{10.1109/TAP.2021.3069432}},
  volume       = {{69}},
  year         = {{2021}},
}