Distributed beamforming in wireless multiuser relay-interference networks with quantized feedback

IEEE Transactions on Information Theory

Volumn 58, Issue 7, 2012, Pages 4538-4576

  Koyuncu, Erdem ^a   Jafarkhani, Hamid ^a  

^a University of California at Irvine   (United States)

Author keywords

Beamforming; distributed vector quantization; diversity gain; interference; wireless relay network

Indexed keywords

AMPLIFY-AND-FORWARD; ARBITRARY NUMBER; DATA-RATE COMMUNICATION; DECODE-AND-FORWARD; DISTRIBUTED BEAMFORMING; DISTRIBUTED DECISION MAKING; DIVERSITY GAIN; DIVERSITY MEASURE; ERROR RATE; FEEDBACK RATES; FIRST-ORDER; MULTI-USER; POWER CONSTRAINTS; QUANTIZED FEEDBACK; QUANTIZER DESIGN; QUANTIZERS; RELAY SELECTION; RELAYING STRATEGY; SECOND ORDERS; TRANSMIT DIVERSITY; TRANSMITTER POWER; TWO CHANNEL; WIRELESS RELAY NETWORKS;

TRANSMITTERS; VECTOR QUANTIZATION; WAVE INTERFERENCE;

BEAMFORMING;

EID: 84862548504     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2012.2191708     Document Type: Article

References (75)

1. R. U. Nabar, H. Bölcskei, and F. W. Kneubühler, "Fading relay channels: Performance limits and space-time signal design," IEEE J. Select. Areas Commun., vol. 22, no. 6, pp. 1099-1109, Aug. 2004.
2. H. Bölcskei, R. U. Nabar, Ö. Oyman, and A. J. Paulraj, "Capacity scaling laws in MIMO relay networks," IEEE Trans. Wireless Commun., vol. 5, no. 6, pp. 1433-1444, Jun. 2006.
3. J. N. Laneman andG. W. Wornell, "Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2415-2425, Oct. 2003.
4. J. N. Laneman, D. N. C. Tse, andG.W.Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3062-3080, Dec. 2004.
5. A. Sendonaris, E. Erkip, and B.Aazhang, "User cooperation diversitypart I: System description," IEEE Trans. Commun., vol. 51, no. 11, pp. 1927-1938, Nov. 2003.
6. N. Ahmed, M. A. Khojastepour, A. Sabharwal, and B. Aazhang, "Outage minimization with limited feedback for the fading relay channel," IEEE Trans. Commun., vol. 54, no. 4, pp. 659-666, Apr. 2006.
7. E. Zimmermann, P. Herhold, and G. Fettweis, "On the performance of cooperative diversity protocols in practical wireless systems," in Proc. 58th Veh. Technol. Conf., Orlando, FL, Oct. 2003, vol. 4.
8. E. Koyuncu, Y. Jing, and H. Jafarkhani, "Distributed beamforming in wireless relay networks with quantized feedback," IEEE J. Select. Areas Commun., vol. 26, no. 8, pp. 1429-1439, Oct. 2008.
9. L. Zheng and D. N. C. Tse, "Diversity andmultiplexing: A fundamental tradeoff in multiple-antenna channels," IEEE Trans. Inf. Theory, vol. 49, no. 5, pp. 1073-1096, May 2003.
10. T. Gou, S. A. Jafar, S.-W. Jeon, and S.-Y. Chung, Aligned Interference Neutralization and the Degrees of Freedom for the 2 2 2 Interference Channel [Online]. Available: http://arxiv.org/abs/1012.2350
11. M. Yuksel and E. Erkip, "Multiple-antenna cooperative wireless systems: A diversity-Multiplexing tradeoff perspective," IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3371-3393, Oct. 2007.
12. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. New York: Wiley, 1991.
13. P. E. Elia, K. Vinodh, M. Anand, and P. V. Kumar, "D-mg tradeoff and optimal codes for a class of AF and DF cooperative communication protocols," IEEE Trans. Inf. Theory, vol. 55, no. 7, pp. 3161-3185, Jul. 2009.
14. P. Larsson, "Large-scale cooperative relaying network with optimal coherent combining under aggregate relay power constraints," in Proc. of Future Telecommun. Conf., Beijing, P. R. China, Dec. 2003.
15. N. Khajehnouri and A. H. Sayed, "Distributed MMSE relay strategies for wireless sensor networks," IEEE Trans. Signal Process., vol. 55, no. 7, pp. 3336-3348, Jul. 2007.
16. I.Maric and R. D. Yates, "Bandwidth and power allocation for cooperative strategies in Gaussian relay networks," in Thirty-Eighth Asilomar Conf. on Signals, Systems and Computers, Nov. 2004.
17. Z. Fang, Y. Hua, and J. C. Koshy, "Joint source and relay optimization for a non-regenerative MIMO relay," in IEEE Sensor Array and Multichannel Signal Process. Workshop, Jul. 2006.
18. Y. Jing and H. Jafarkhani, "Network beamforming using relays with perfect channel information," IEEE Trans. Inf. Theory, vol. 55, no. 6, pp. 2499-2517, Jun. 2009.
19. M. Chen, S. Serbetli, and A. Yener, "Distributed power allocation for parallel relay networks," in IEEE Global Telecommun. Conf., 2005.
20. X. Deng and A. M. Haimovich, "Power allocation for cooperative relaying in wireless networks," IEEE Commun. Lett., vol. 9, no. 11, pp. 994-996, Nov. 2006.
21. I. Hammerström, M. Kuhn, and A. Wittneben, "Impact of relay gain allocation on the performance of cooperative diversity networks," in Proc. of IEEE Veh. Technol. Conf., Sep. 2004.
22. Z. Yi and I.-M. Kim, "Joint optimization of relay-precoders and decoders with partial channel side information in cooperative relay networks," IEEE J. Select. Areas Commun., vol. 25, no. 6, pp. 447-458, Feb. 2007.
23. D. J. Love, J. R. W. Heath, and W. Santipach, "What is the value of limited feedback forMIMO channels?," IEEE Commun.Mag., vol. 42, no. 10, pp. 54-59, Oct. 2004.
24. D. J. Love, R. W. Heath Jr., V. K. N. Lau, D. Gesbert, B. D. Rao, and M. Andrews, "An overview of limited feedback in wireless communication systems," IEEE J. Select. Areas Commun., vol. 26, no. 8, pp. 1341-1365, Oct. 2008.
25. Y. Zhao, R. S. Adve, and T. J. Lim, "Beamforming with limited feedback in amplify-and-forward cooperative networks," in IEEE Global Telecommun. Conf., Nov. 2007.
26. A. Bletsas, A. Khisti, D. P. Reed, and A. Lippman, "A simple cooperative diversity method based on network path selection," IEEE J. Select. Areas Commun., vol. 24, no. 3, pp. 659-672, Mar. 2006.
27. P. A. Anghel andM. Kaveh, "Exact symbol error probability of a cooperative network in a Rayleigh-fading environment," IEEE Trans. Wireless Commun., vol. 3, no. 5, pp. 1416-1421, Sep. 2004.
28. A. Riberio, X. Cai, and G. B. Giannakis, "Symbol error probabilities for general cooperative links," IEEE Trans. Wireless Commun., vol. 4, no. 3, pp. 1264-1273, May 2005.
29. M. O. Hasna and M.-S. Aoluini, "Optimal power allocation for relayed transmissions over Rayleigh-fading channels," IEEE Trans. Wireless Commun., vol. 3, no. 6, pp. 1999-2004, Nov. 2004.
30. Y. Zhao, R. S. Adve, and T. J. Lim, "Improving amplify-and-forward relay networks: Optimal power allocation versus selection," IEEE Trans. Wireless Commun., vol. 6, no. 8, pp. 3114-3123, Aug. 2007.
31. Y. Zhao, R. Adve, and T. J. Lim, "Beamforming with limited feedback in amplify-and-forward cooperative networks," IEEE Trans. Wireless Commun., vol. 7, no. 12, pp. 5145-5149, Dec. 2008.
32. Y. Jing and H. Jafarkhani, "Single andmultiple relay selection schemes and their achievable diversity orders," IEEE Trans.Wireless Commun., vol. 8, no. 3, pp. 1414-1423, Mar. 2009.
33. M. M. Fareed and M. Uysal, "On relay selection for decode-and-forward relaying," IEEE Trans. Wireless Commun., vol. 8, no. 7, pp. 3341-3346, Jul. 2009.
34. R. Tannious and A. Nosratinia, "Spectrally-efficient relay selection with limited feedback," IEEE J. Select. Areas Commun., vol. 26, no. 8, pp. 1419-1428, Oct. 2008.
35. K. Truong and R. W. Heath Jr., "Multimode antenna selection for MIMO amplify-and-forward relay systems," IEEE Trans. Signal Process., vol. 58, no. 11, pp. 5845-5859, Nov. 2010.
36. W. Shi and S. Roy, "Achieving full diversity by selection in arbitrary multi-hop amplify-and-forward relay networks," in IEEE Global Telecommun. Conf., Dec. 2010.
37. S. Atapattu, Y. Jing, H. Jiang, and C. Tellambura, "Relay selection and performance analysis inmultiple-user networks," IEEE J. Select. Areas Commun., Aug. 2011.
38. S. Atapattu, Y. Jing, H. Jiang, and C. Tellambura, "Relay selection schemes and performance analysis approximations for two-way networks," Submitted to IEEE Trans. Commun., 2011.
39. Z. Yi and I.-M. Kim, "Diversity order analysis of the decode-and-forward cooperative networks with relay selection," IEEE Trans.Wireless Commun., vol. 7, no. 5, pp. 1792-1799, May 2008.
40. E. Beres and R. Adve, "Selection cooperation in multi-source cooperative networks," IEEE Trans. Wireless Commun., vol. 7, no. 1, pp. 118-127, Jan. 2008.
41. R. Mudumbai, J. Hespanha, U. Madhow, and G. Barriac, "Distributed transmit beamforming using feedback control," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 411-426, Jan. 2010.
42. T. T. Kim and M. Skoglund, "Decode-and-forward relay channels with quantized channel state feedback: An outage exponent analysis," IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4548-4564, Oct. 2008.
43. T. T. Kim, M. Skoglund, and G. Caire, "On cooperative source transmission with partial rate and power control," IEEE J. Select. Areas Commun., vol. 26, no. 10, pp. 1408-1418, Oct. 2008.
44. D. J. Love and R. W. Heath Jr., "Grassmannian beamforming for multiple- input multiple-output wireless systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2735-2747, Oct. 2003.
45. B. Khoshnevis, W. Yu, and R. Adve, "Grassmannian beamforming for MIMO amplify-and-forward relaying," IEEE J. Select. Areas Commun., vol. 26, no. 8, pp. 1397-1407, Oct. 2008.
46. D. Gerlach and A. Paulraj, "Adaptive transmitting antenna arrays with feedback," IEEE Signal Process. Lett., vol. 1, no. 10, pp. 150-152, Oct. 1994.
47. K. K. Mukkavilli, A. Sabharwal, and E. Erkip, "On beamforming with finite rate feedback in multiple-antenna systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2562-2579, Oct. 2003.
48. J. C. Roh and B. D. Rao, "Transmit beamforming in multiple-antenna systems with finite rate feedback: A VQ-based approach," IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 1101-1112, Mar. 2006.
49. D. J. Love and R. W. Heath Jr., "Necessary and sufficient conditions for full diversity order in correlated rayleigh fading beamforming and combining systems," IEEE Trans. Wireless Commun., vol. 4, no. 1, pp. 20-23, Jan. 2005.
50. E. D. J. Zheng and B. D. Rao, "Analysis of multiple antenna systems with finite-rate feedback using high resolution quantization theory," IEEE Trans. Signal Process., vol. 55, no. 4, pp. 1461-1476, Apr. 2007.
51. D. J. Love and R. W. Heath Jr., "Limited feedback unitary precoding for orthogonal space-time block codes," IEEE Trans. Signal Process., vol. 53, no. 1, pp. 64-73, Jan. 2005.
52. S. Zhou and B. Li, "BER criterion and codebook construction for finite rate precoded spatial multiplexing with linear receivers," IEEE Trans. Signal Process., vol. 54, no. 5, pp. 1653-1665, May 2006.
53. D. J. Love and R. W. Heath Jr., "Limited feedback unitary precoding for spatial multiplexing," IEEE Trans. Inf. Theory, vol. 51, no. 8, pp. 2967-2976, Aug. 2005.
54. S. Ekbatani and H. Jafarkhani, "Combining beamforming and space-time coding using quantized feedback," IEEE Trans. Wireless Commun., vol. 7, no. 3, pp. 898-908, Mar. 2008.
55. S. Ekbatani and H. Jafarkhani, "Combining beamforming and spacetime coding using noisy quantized feedback," IEEE Trans. Commun., vol. 57, no. 5, pp. 1280-1286, May 2009.
56. G. Jöngren, M. Skoglund, and B. Ottersten, "Combining beamforming and orthogonal space-time block coding," IEEE Trans. Inf. Theory, vol. 48, no. 3, pp. 611-627, Mar. 2002.
57. G. Jöngren, M. Skoglund, and B. Ottersten, "Quantized feedback information in orthogonal space-time block coding," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2473-2486, Oct. 2004.
58. L. Liu and H. Jafarkhani, "Application of quasi-orthogonal space-time block codes in beamforming," IEEE Trans. Signal Process., vol. 53, no. 1, pp. 54-63, Jan. 2005.
59. T. T. Kim and M. Skoglund, "Diversity-multiplexing tradeoff in MIMO channels with partial CSIT," IEEE Trans. Inf. Theory, vol. 53, no. 8, pp. 2743-2759, Aug. 2007.
60. T. T. Kim and G. Caire, "Diversity gains of power control with noisy CSIT in MIMO channels," IEEE Trans. Inf. Theory, vol. 55, no. 4, pp. 1618-1626, Apr. 2009.
61. S. Ekbatani, F. Etemadi, and H. Jafarkhani, "Outage behavior of slow fading channels with power control using partial and erroneous CSIT," IEEE Trans. Inf. Theory, vol. 56, no. 12, pp. 6097-6102, Dec. 2010.
62. J. Zhang and J. S. Lehnert, "Throughput-optimal precoding and rate allocation forMISO systemswith noisy feedback channels," IEEE Trans. Inf. Theory, vol. 45, no. 5, pp. 2139-2155, May 2008.
63. S. Ekbatani, F. Etemadi, and H. Jafarkhani, "Throughput maximization over slowly fading channels using quantized and erroneous feedback," IEEE Trans. Commun., vol. 57, no. 9, pp. 2528-2533, Sep. 2009.
64. T. T. Kim and M. Skoglund, "On the expected rate of slowly fading channels with quantized side information," IEEE Trans. Commun., vol. 55, no. 4, pp. 820-829, Apr. 2007.
65. F. Li and H. Jafarkhani, "Multiple-antenna interference cancellation and detection for two users using quantized feedback," IEEE Trans. Wireless Commun., vol. 10, no. 1, pp. 154-163, Jan. 2011.
66. N. Jindal, "MIMO broadcast channels with finite rate feedback," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5045-5059, Nov. 2006.
67. J. Thukral and H. Bölcskei, "Interference alignment with limited feedback," in Proc. of IEEE Intl. Symp. on Info. Theory, 2009.
68. V. Misra, V. K. Goyal, and L. R. Varshney, "Distributed scalar quantization for computing: High-resolution analysis and extensions," IEEE Trans. Inf. Theory, vol. 57, no. 8, Aug. 2011.
69. B.Walke, Mobile Radio Networks: Networking, Protocols, and Traffic Performance. : John Wiley and Sons, 2002.
70. E. Koyuncu and H. Jafarkhani, "A systematic distributed quantizer design method with an application to MIMO broadcast channels," in IEEE Data Commun. Conf., Mar. 2010.
71. A. Gersho and R. Gray, Vector Quantization and Signal Compression. : Kluwer Academic Publishers, 1992.
72. M. D. Springer, Algebra of Random Variables. New York: Wiley, 1979.
73. R. K.Mallik, "On multivariate rayleigh and exponential distributions," IEEE Trans. Inf. Theory, vol. 49, no. 6, pp. 1499-1515, Jun. 2003.
74. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions Dover, 1964 [Online]. Available: http://www.math.sfu.ca/~cbm/aands/
75. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. New York: Academic Press, 1966