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Optimal Design of Nonuniform Linear Arrays in Cellular Systems by Out-of-Cell Interference Minimization

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Abstract

Optimal design of a linear antenna array with nonuniform interelement spacings is investigated for the uplink of a cellular system. The optimization criterion considered is based on the minimization of the average interference power at the output of a conventional beamformer (matched filter) and it is compared to the maximization of the ergodic capacity (throughput). Out-of-cell interference is modelled as spatially correlated Gaussian noise. The more analytically tractable problem of minimizing the interference power is considered first, and a closed-form expression for this criterion is derived as a function of the antenna spacings. This analysis allows to get insight into the structure of the optimal array for different propagation conditions and cellular layouts. The optimal array deployments obtained according to this criterion are then shown, via numerical optimization, to maximize the ergodic capacity for the scenarios considered here. More importantly, it is verified that substantial performance gain with respect to conventionally designed linear antenna arrays (i.e., uniform interelement spacing) can be harnessed by a nonuniform optimized linear array.

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References

  1. 1.

    Winters JH, Salz J, Gitlin RD: The impact of antenna diversity on the capacity of wireless communication systems. IEEE Transactions on Communications 1994,42(234):1740-1751.

  2. 2.

    Foschini GJ, Gans MJ: On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications 1998,6(3):311-335. 10.1023/A:1008889222784

  3. 3.

    Rashid-Farrokhi F, Liu KJR, Tassiulas L: Transmit beamforming and power control for cellular wireless systems. IEEE Journal on Selected Areas in Communications 1998,16(8):1437-1449. 10.1109/49.730452

  4. 4.

    Saholos J: A solution of the general nonuniformly spaced antenna array. Proceedings of the IEEE 1974,62(9):1292-1294.

  5. 5.

    Liang J-W, Paulraj AJ: On optimizing base station antenna array topology for coverage extension in cellular radio networks. Proceedings of the IEEE 45th Vehicular Technology Conference (VTC '95), July 1995, Chicago, Ill, USA 2: 866-870.

  6. 6.

    Jana R, Dey S: 3G wireless capacity optimization for widely spaced antenna arrays. IEEE Personal Communications 2000,7(6):32-35. 10.1109/98.892256

  7. 7.

    Abdi A, Kaveh M: A space-time correlation model for multielement antenna systems in mobile fading channels. IEEE Journal on Selected Areas in Communications 2002,20(3):550-560. 10.1109/49.995514

  8. 8.

    Zetterberg P: On Base Station antenna array structures for downlink capacity enhancement in cellular mobile radio. In Tech. Rep. IR-S3-SB-9622. Department of Signals, Sensors & Systems Signal Processing, Royal Institute of Technology, Stockholm, Sweden; 1996.

  9. 9.

    Van Trees HL: Optimum Array Processing. Wiley-Interscience, New York, NY, USA; 2002.

  10. 10.

    Ertel RB, Cardieri P, Sowerby KW, Rappaport TS, Reed JH: Overview of spatial channel models for antenna array communication systems. IEEE Personal Communications 1998,5(1):10-22. 10.1109/98.656151

  11. 11.

    Fulghum T, Molnar K: The Jakes fading model incorporating angular spread for a disk of scatterers. Proceedings of the 48th IEEE Vehicular Technology Conference (VTC '98), May 1998, Ottawa, Ont, Canada 1: 489-493.

  12. 12.

    Gupta I, Ksienski A: Effect of mutual coupling on the performance of adaptive arrays. IEEE Transactions on Antennas and Propagation 1983,31(5):785-791. 10.1109/TAP.1983.1143128

  13. 13.

    Maleki N, Karami E, Shiva M: Optimization of antenna array structures in mobile handsets. IEEE Transactions on Vehicular Technology 2005,54(4):1346-1351. 10.1109/TVT.2005.851370

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Correspondence to S. Savazzi.

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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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Savazzi, S., Simeone, O. & Spagnolini, U. Optimal Design of Nonuniform Linear Arrays in Cellular Systems by Out-of-Cell Interference Minimization. J Wireless Com Network 2007, 093421 (2007) doi:10.1155/2007/93421

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Keywords

  • Optimization Criterion
  • Linear Array
  • Cellular System
  • Matched Filter
  • Interference Power