Robust optimization for amplify-and-forward mimo relaying from a worst-case perspective

IEEE Transactions on Signal Processing

Volumn 61, Issue 21, 2013, Pages 5458-5471

  Shen, Hong ^a,b   Wang, Jiaheng ^a   Levy, Bernard C ^b   Zhao, Chunming ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b University of California   (United States)

Author keywords

Imperfect channel state information (CSI); mean square error (MSE); multiple input multiple output (MIMO) cooperative transmission; mutual information (MI); relay precoding; worst case robust design

Indexed keywords

COOPERATIVE TRANSMISSION; IMPERFECT CHANNEL STATE INFORMATION; MUTUAL INFORMATIONS; PRECODING; ROBUST DESIGNS;

CHANNEL STATE INFORMATION; DESIGN; MIMO SYSTEMS; OPTIMIZATION;

MEAN SQUARE ERROR;

EID: 84885094356     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2013.2278819     Document Type: Article

References (45)

1. S. W. Peters,A. Y. Panah,K. T. Truong, andR. W. Heath, Jr, "Relay architectures for 3GPP LTE-advanced," EURASIP J. Wireless Commun. Netw., vol. 2009, May 2009, Article ID 618787, 14 pp.
2. B. Wang, J. Zhang, and A. Host-Madsen, "On the capacity of MIMO relay channels," IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 29-43, Jan. 2005. (Pubitemid 40145985)
3. S. Jin, M. R. McKay, C. Zhong, and K.-K. Wong, "Ergodic capacity anal. of amplify-and-forward MIMO dual-hop systems," IEEE Trans. Inf. Theory, vol. 56, no. 5, pp. 2204-2224, May 2010.
4. X. Tang and Y. Hua, "Optimal design of non-regenerative MIMO wireless relays," IEEE Trans. Wireless Commun., vol. 6, no. 4, pp. 1398-1407, Apr. 2007.
5. O. Munoz-Medina, J. Vidal, and A. Agustín, "Linear transceiver design in nonregenerative relays with channel state information," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2593-2604, Jun. 2007. (Pubitemid 46851627)
6. W. Guan and H. Luo, "Joint MMSE transceiver design in non-regenerative MIMO relay systems," IEEE Commun. Lett., vol. 12, no. 7, pp. 517-519, Jul. 2008.
7. A. S. Behbahani, R. Merched, and A. M. Eltawil, "Optimizations of a MIMO relay network," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 5062-5073, Oct. 2008.
8. Y. Rong, X. Tang, and Y. Hua, "A unified framework for optimizing linear nonregenerative multicarrier MIMO relay communication systems," IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4837-4851, Dec. 2009.
9. W. Xu, X. Dong, and W.-S. Lu, "Joint precoding optimization formultiuser multi-antenna relaying downlinks using quadratic programming," IEEE Trans. Commun., vol. 59, no. 5, pp. 1228-1235, May 2011.
10. D. P. Palomar, J. M. Cioffi, and M. Á. Lagunas, "Joint Tx-Rx beamforming design for multicarrier MIMO channels: A unified framework for convex optimization," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2381-2401, Sep. 2003.
11. T. Yoo and A. Goldsmith, "Capacity and power allocation for fading MIMO channels with channel estimation error," IEEE Trans. Inf. Theory, vol. 52, no. 5, pp. 2203-2214, May 2006.
12. X. Zhang, D. P. Palomar, and B. Ottersten, "Statistically robust design of linear MIMO transceivers," IEEE Trans. Signal Process., vol. 56, no. 8, pp. 3678-3689, Aug. 2008.
13. M. Ding and S. D. Blostein, "MIMO minimum total MSE transceiver design with imperfect CSI at both ends," IEEE Trans. Signal Process., vol. 57, no. 3, pp. 1141-1150, Mar. 2009.
14. C. Xing, S. Ma, Y.-C. Wu, and T.-S. Ng, "Transceiver design for dual-hop non-regenerative MIMO-OFDM relay systems under channel uncertainties," IEEE Trans. Signal Process., vol. 58, no. 12, pp. 6325-6339, Dec. 2010.
15. Y. Rong, "Robust design for linear non-regenerativeMIMOrelayswith imperfect channel state information," IEEE Trans. Signal Process., vol. 59, no. 5, pp. 2455-2460, May 2011.
16. C. Jeong, B. Seo, S. R. Lee, H.-M. Kim, and I.-M. Kim, "Relay precoding for non-regenerative MIMO relay systems with partial CSI feedback," IEEE Trans. Wireless Commun., vol. 11, no. 5, pp. 1698-1711, May 2012.
17. W. Xu and X. Dong, "Optimized one-way relaying strategy with outdated CSI quantization for spatial multiplexing," IEEE Trans. Signal Process., vol. 60, no. 8, pp. 4458-4464, Aug. 2012.
18. Y. Guo and B. C. Levy, "Worst-case MSE precoder design for imperfectly known MIMO communication channels," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2918-2930, Aug. 2005.
19. A. Pascual-Iserte, D. P. Palomar, A. I. Pérez-Neira, andM. Á. Lagunas, "A robust maximin approach for MIMO communications with imperfect channel state information based on convex optimization," IEEE Trans. Signal Process., vol. 54, no. 1, pp. 346-360, Jan. 2006. (Pubitemid 43065804)
20. J. Wang and D. P. Palomar, "Worst-case robust MIMO transmission with imperfect channel knowledge," IEEE Trans. Signal Process., vol. 57, no. 8, pp. 3086-3100, Aug. 2009.
21. J. Wang and D. P. Palomar, "Robust MSE precoding in MIMO channels with pre-fixed receivers," IEEE Trans. Signal Process., vol. 58, no. 11, pp. 5802-5818, Nov. 2010.
22. J. Wang andM. Payaró, "On the robustness of transmit beamforming," IEEE Trans. Signal Process, vol. 58, no. 11, pp. 5933-5938, Nov. 2010.
23. S. Loyka and C. D. Charalambous, "On the compound capacity of a class of MIMO channels subject to normed uncertainty," IEEE Trans. Inf. Theory, vol. 58, no. 4, pp. 2048-2063, Apr. 2012.
24. Y. Sun, C. E. Koksal, and N. B. Shroff, "Capacity of compound MIMO channels with additive uncertainty," Aug. 2012, arXiv:1208. 4656v3 [cs. IT].
25. J. Wang, M. Bengtsson, B. Ottersten, and D. P. Palomar, "Robust MIMO precoding for several classes of channel uncertainty," IEEE Trans. Signal Process., vol. 61, no. 12, pp. 3056-3070, Jun. 2013.
26. G. Zheng, K.-K. Wong, A. Paulraj, and B. Ottersten, "Robust collaborative- relay beamforming," IEEE Trans. Signal Process., vol. 57, no. 8, pp. 3130-3143, Aug. 2009.
27. B. K. Chalise and L. Vandendorpe, "Optimization of MIMO relays for multipoint-to-multipoint communications: Nonrobust and robust designs," IEEE Trans. Signal Process., vol. 58, no. 12, pp. 6355-6368, Dec. 2010.
28. P. Ubaidulla and A. Chockalingam, "Relay precoder optimization in MIMO relay networks with imperfect CSI," IEEE Trans. SignalProcess., vol. 59, no. 11, pp. 5473-5484, Nov. 2011
29. M. Tao and R. Wang, "Robust relay beamforming for two-way relay networks," IEEE Commun. Lett., vol. 16, no. 7, pp. 1052-1055, Jul. 2012.
30. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993.
31. Z. Wang, W. Chen, F. Gao, and J. Li, "Capacity performance of relay beamformings forMIMO multirelay networks with imperfect R-D CSI at relays," IEEE Trans. Veh. Technol., vol. 60, no. 6, pp. 2608-2619, Jul. 2011.
32. M. Payaró, A. Pascual-Iserte, and M. Á. Lagunas, "Robust power allocation designs for multiuser and multiantenna downlink communication systems through convex optimization," IEEE J. Sel. Areas Commun., vol. 25, no. 7, pp. 1390-1401, Sep. 2007. (Pubitemid 47397716)
33. M. B. Shenouda and T. N. Davidson, "On the design of linear transceivers for multiuser systems with channel uncertainty," IEEE J. Sel. Areas Commun., vol. 26, no. 6, pp. 1015-1024, Aug. 2008.
34. N. Vu?i?, H. Boche, and S. Shi, "Robust transceiver optimization indownlinkmultiuserMIMOsystems," IEEE Trans. Signal Process., vol. 57, no. 9, pp. 3576-3587, Sep. 2009.
35. G. Zheng, K.-K. Wong, and B. Ottersten, "Robust cognitive beamforming with bounded channel uncertainties," IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4871-4881, Dec. 2009.
36. Y. Huang, Q. Li, W.-K. Ma, and S. Zhang, "Robust multicast beamforming for spectrum sharing-based cognitive radios," IEEE Trans. Signal Process., vol. 60, no. 1, pp. 527-533, Jan. 2012.
37. J. Wang, G. Scutari, and D. P. Palomar, "Robust MIMO cognitive radio via game theory," IEEE Trans. Signal Process., vol. 59, no. 3, pp. 1183-1201, Mar. 2011.
38. J. Wang, G. Scutari, and D. P. Palomar, "Robust cognitive radio via game theory," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Austin, TX, Jun. 2010, pp. 2073-2077.
39. J. Zhang, R. W. Heath, Jr, M. Kountouris, and J. G. Andrews, "Mode switching for the multi-antenna broadcast channel based on delay and channel quantization," EURASIP J. Adv. Signal Process., vol. 2009, Feb. 2009, Article ID 802548, 15 pp.
40. J. Zhang, M. Kountouris, J. G. Andrews, and R. W. Heath, Jr, "Multimode transmission for the MIMO broadcast channel with imperfect channel state information," IEEE Trans. Commun., vol. 59, no. 3, pp. 803-814, Mar. 2011.
41. R. A. Horn and C. R. Johnson, Matrix Analysis. New York: Cambridge Univ. Press, 1985.
42. J.-P Aubin and I. Ekeland, Applied Nonlinear Anal. New York: Dover Publications, 2006.
43. Y. C. Eldar and N. Merhav, "A competitive minimax approach to robust estimation of random parameters," IEEE Trans. Signal Process., vol. 52, no. 7, pp. 1931-1946, Jul. 2004.
44. E. Zeidler, Nonlinear Functional Analysis and Its Applications I: Fixed-Point Theorems. New York: Springer-Verlag, 1986.
45. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications. New York: Academic, 1979