Linear precoding based on polynomial expansion: Large-scale multi-cell MIMO systems

IEEE Journal on Selected Topics in Signal Processing

Volumn 8, Issue 5, 2014, Pages 861-875

  Kammoun, Abla ^a   Müller, Axel ^a   Björnson, Emil ^a,b,c   Debbah, Mérouane ^a  

^a NOKIA RESEARCH CENTER   (United States)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^c LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Large scale MIMO; linear precoding; multi user systems; polynomial expansion; random matrix theory

Indexed keywords

LINEAR PRE-CODING; MULTI-CELL MIMO; MULTIUSER SYSTEM; POLYNOMIAL EXPANSION; RANDOM MATRIX THEORY;

EID: 84907212024     PISSN: 19324553     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTSP.2014.2322582     Document Type: Article

References (46)

1. D. Gesbert, S. Hanly, H. Huang, S. Shamai, O. Simeone, andW. Yu, "Multi-cell MIMO cooperative networks: A new look at interference," IEEE J. Sel. Areas Commun., vol. 28, no. 9, pp. 1380-1408, Dec. 2010.
2. D. Gesbert, M. Kountouris, R. W. Heath, C.-B. Chae, and T. Sälzer, "Shifting the MIMO paradigm," IEEE Signal Process. Mag., vol. 24, no. 5, pp. 36-46, Sep. 2007.
3. N. Jindal, "MIMO broadcast channels with finite-rate feedback," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5045-5060, Nov. 2006.
4. H. Holma and A. Toskala, LTE Advanced: 3GPP Solution for IMTAdvanced, 1st ed. New York, NY, USA: Wiley, 2012.
5. T. L.Marzetta, "Noncooperative cellular wireless with unlimited numbers of base station antennas," IEEE Trans. Commun., vol. 9, no. 11, pp. 3590-3600, Nov. 2010.
6. F. Rusek, D. Persson, B. K. Lau, E. G. Larsson, T. L. Marzetta, O. Edfors, and F. Tufvesson, "Scaling up MIMO: Opportunities and challenges with very large arrays," IEEE Signal Process. Mag., vol. 30, no. 1, pp. 40-60, Jan. 2013.
7. J.Hoydis, S. ten Brink, andM.Debbah, "Massive MIMO in the UL/DL of cellular networks: How many antennas do we need?," IEEE J. Sel. Areas Commun., vol. 31, no. 2, pp. 160-171, Feb. 2013.
8. S.Wagner, R. Couillet, M. Debbah, and D. T. M. Slock, "Large system analysis of linear precoding in MISO broadcast channels with limited feedback," IEEE Trans. Inf. Theory, vol. 58, no. 7, pp. 4509-4537, Jul. 2012.
9. W. Hachem, O. Khorunzhy, P. Loubaton, J. Najim, and L. A. Pastur, "a new approach for mutual information analysis of large dimensional multi-antenna channels," IEEE Trans. Inf. Theory, vol. 54, no. 9, pp. 3987-4004, Sep. 2008.
10. V. K. Nguyen and J. S. Evans, "Multiuser transmit beamforming via regularized channel inversion: A large system analysis," in Proc. Globecom, Dec. 2008, pp. 1-4.
11. R. Muharar and J. Evans, "Downlink beamforming with transmit-side channel correlation: A large system analysis," in Proc. IEEE Int. Conf. Commun. (ICC), 2011, pp. 1-5.
12. R. Couillet andM. Debbah, Random Matrix Methods forWireless Communications, 1st ed. New York, NY, USA: Cambridge Univ. Press, 2011.
13. E. Björnson, M. Bengtsson, and B. Ottersten, "Pareto characterization of the multicell MIMO performance region with simple receivers," IEEE Trans. Signal Process., vol. 60, no. 8, pp. 4464-4469, Aug. 2012.
14. C. B. Peel, B. M. Hochwald, and A. L. Swindlehurst, "A vector-perturbation technique for near-capacity multiantenna multiuser communication, part i: Channel inversion and regularization," IEEE Trans. Commun., vol. 53, no. 1, pp. 195-202, Jan. 2005.
15. T. K. Y. Lo, "Maximum ratio transmission," IEEE Trans. Commun., vol. 47, no. 10, pp. 1458-1461, Oct. 1999.
16. A. Müller, A. Kammoun, E. Björnson, and M. Debbah, "Linear precoding based on polynomial expansion: Reducing complexity in massive MIMO (extended version)," IEEE Trans. Signal Process., Sep. 2013, submitted to arXiv:1310.1806, submitted for publication.
17. S. Zarei, W. Gerstacker, R. R. Müller, and R. Schober, "Low-complexity linear precoding for downlink large-scale MIMO systems," in Proc. IEEE Int. Symp. Personal, Indoor, Mobile Radio Commun. (PIMRC), 2013, pp. 1119-1124.
18. N. Sidiropoulos, T. Davidson, and Z.-Q. Luo, "Transmit beamforming for physical-layer multicasting," IEEE Trans. Signal Process., vol. 54, no. 6, pp. 2239-2251, Jun. 2006.
19. E. Karipidis, N. D. Sidiropoulos, and Z.-Q. Luo, "Quality of service and max-min fair transmit beamforming to multiple cochannel multicast groups," IEEE Trans. Signal Process., vol. 56, no. 3, pp. 1268-1279, Mar. 2008.
20. A. B. Gershman, N. D. Sidiropoulos, S. Shahbazpanahi,M. Bengtsson, and B. Ottersten, "Convex optimization-based beamforming," IEEE Signal Process. Mag., vol. 27, no. 3, pp. 62-75, May 2010.
21. E. Björnson, J. Hoydis, M. Kountouris, and M. Debbah, "Massive MIMO systems with non-ideal hardware: Energy efficiency, estimation, and capacity limits," IEEE Trans. Inf. Theory, July 2013, submitted, arXiv:1307.2584.
22. M. Medard, "The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel," IEEE Trans. Inf. Theory, vol. 46, no. 3, pp. 933-946, May 2000.
23. J. Jose, A. Ashikhmin, T. Marzetta, and S.Vishwanath, "Pilot contamination and precoding in multi-cell TDD systems," IEEE Trans. Wireless Commun., vol. 10, no. 8, pp. 2640-2651, Aug. 2011.
24. E. Björnson and B. Ottersten, "A framework for training-based estimation in arbitrarily correlated ricianMIMO channels with Rician disturbance," IEEE Trans. Signal Process., vol. 58, no. 3, pp. 1807-1820, Mar. 2010.
25. E. Björnson and E. Jorswieck, "Optimal resource allocation in coordinated multi-cell systems," Foundat. Trends Commun. Inf. Theory, vol. 9, no. 2-3, pp. 113-381, 2013.
26. M. Joham,W. Utschick, and J. A. Nossek, "Linear transmit processing in MIMO communications systems," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2700-2712, Aug. 2005.
27. M. Sadek, A. Tarighat, and A. H. Sayed, "A leakage-based precoding scheme for downlink multi-user MIMO channels," IEEE Trans. Wireless Commun., vol. 6, no. 5, pp. 1711-1721, May 2007.
28. R. Stridh, M. Bengtsson, and B. Ottersten, "System evaluation of optimal downlink beamforming with congestion control in wireless communication," IEEE Trans. Wireless Commun., vol. 5, no. 4, pp. 743-751, Apr. 2006.
29. E. Björnson, R. Zakhour, D. Gesbert, and B. Ottersten, "Cooperative multicell precoding: Rate region characterization and distributed strategies with instantaneous and statistical CSI," IEEE Trans. Signal Process., vol. 58, no. 8, pp. 4298-4310, Aug. 2010.
30. K. Hosseini, J. Hoydis, S. ten Brink, and M. Debbah, "MassiveMIMO and small cells: How to densify heterogeneous networks," in Proc. IEEE Int. Conf. Commun. (ICC'13), 2013, pp. 5442-5447.
31. J. Hoydis, M. Kobayashi, and M. Debbah, "Asymptotic performance of linear receivers in network MIMO," in Proc. Asilomar, 2010.
32. A. Kammoun, M. Kharouf, W. Hachem, and J. Najim, "A central limit theorem for the SINR at the LMMSE estimator output for large-dimensional signals," IEEE Trans. Inf. Theory, vol. 55, no. 11, pp. 5048-5063, Nov. 2009.
33. C. Shepard, H. Yu, N. Anand, L. E. Li, T. Marzetta, R. Yang, and L. Zhong, "Argos: Practical many-antenna base stations," in Proc. ACM MobiCom, 2012.
34. G. Sessler and F. Jondral, "Low complexity polynomial expansion multiuser detector for CDMA systems," IEEE Trans. Veh. Technol., vol. 54, no. 4, pp. 1379-1391, Jul. 2005.
35. M. L. Honig and W. Xiao, "Performance of reduced-rank linear interference suppression," IEEE Trans. Inf. Theory, vol. 47, no. 5, pp. 1928-1946, Jul. 2001.
36. J. Hoydis, M. Debbah, and M. Kobayashi, "Asymptotic moments for interference mitigation in correlated fading channels," in Proc. ISIT, 2011, pp. 2796-2800.
37. H. Q. Ngo, E. G. Larsson, and T. L. Marzetta, "Analysis of the pilot contamination effect in very large multicell multiuser MIMO systems for physical channelmodels," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 2011, pp. 3464-3467.
38. A. Adhikary, J. Nam, J. Y. Ahn, and G. Caire, "Joint spatial division and multiplexing," [Online]. Available: http://arxiv.org/abs/1209.1402
39. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
40. M. Grant and S. Boyd, "CVX: Matlab software for disciplined convex programming, version 2.0 beta," Sep. 2013 [Online]. Available: http://cvxr.com/cvx
41. M. Laurent and F. Rendl, "Semidefinite programming and integer programming," Handbooks in Operations Research and Management Science, vol. 12, pp. 393-514, 2005.
42. D. P. Palomar and M. Chiang, "A tutorial on decomposition methods for network utility maximization," IEEE J. Sel. Areas Commun., vol. 24, no. 8, pp. 1439-1451, Aug. 2006.
43. "Status Report to TSG on RAN WG1 SI 3D-channel model for elevation beamforming and FD-MIMO studies for LTE," RP-130590, Jun. 2013.
44. Z. D. Bai and J. W. Silverstein, "No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices," Ann. Probab., vol. 26, no. 1, pp. 316-345, Jan. 1998.
45. P. Billingsley, Probability and Measure, 3rd ed. Hoboken, NJ, USA: Wiley, 1995.
46. W. Rudin, Real and Complex Analysis, ser. Series in Higher Mathematics, 3rd ed. New York, NY, USA: McGraw-Hill, May 1986.