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Optimal Design of Uniform Rectangular Antenna Arrays for Strong Line-of-Sight MIMO Channels

EURASIP Journal on Wireless Communications and Networking volume 2007, Article number: 045084 (2007) Cite this article

Abstract

We investigate the optimal design of uniform rectangular arrays (URAs) employed in multiple-input multiple-output communications, where a strong line-of-sight (LOS) component is present. A general geometrical model is introduced to model the LOS component, which allows for any orientation of the transmit and receive arrays, and incorporates the uniform linear array as a special case of the URA. A spherical wave propagation model is used. Based on this model, we derive the optimal array design equations with respect to mutual information, resulting in orthogonal LOS subchannels. The equations reveal that it is the distance between the antennas projected onto the plane perpendicular to the transmission direction that is of importance with respect to design. Further, we investigate the influence of nonoptimal design, and derive analytical expressions for the singular values of the LOS matrix as a function of the quality of the array design. To evaluate a more realistic channel, the LOS channel matrix is employed in a Ricean channel model. Performance results show that even with some deviation from the optimal design, we get better performance than in the case of uncorrelated Rayleigh subchannels.

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Authors and Affiliations

  1. Telenor Research and Innovation, Snarøyveien 30, Fornebu, 1331, Norway

    Frode Bøhagen

  2. Department of Informatics, UniK, University of Oslo (UiO) and Thrane & Thrane, Oslo, 0316, Norway

    Pål Orten

  3. Department of Electronics and Telecommunications, Norwegian University of Science and Technology (NTNU), Trandheim, 7491, Norway

    Geir Øien

Authors
  1. Frode Bøhagen
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  2. Pål Orten
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  3. Geir Øien
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Correspondence to Frode Bøhagen.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Bøhagen, F., Orten, P. & Øien, G. Optimal Design of Uniform Rectangular Antenna Arrays for Strong Line-of-Sight MIMO Channels. J Wireless Com Network 2007, 045084 (2007). https://doi.org/10.1155/2007/45084

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  • DOI: https://doi.org/10.1155/2007/45084

Keywords

  • Optimal Design
  • Linear Array
  • Antenna Array
  • Channel Matrix
  • MIMO Channel