Achievable rates of MIMO systems with linear precoding and iterative LMMSE detection

IEEE Transactions on Information Theory

Volumn 60, Issue 11, 2014, Pages 7073-7089

  Yuan, Xiaojun ^a   Ping, Li ^b   Xu, Chongbin ^b   Kavcic, Aleksandar ^c  

^a SHANGHAITECH UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c University of Hawaii at Manoa   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMFORMING; CHANNEL CAPACITY; CHANNEL CODING; CHANNEL STATE INFORMATION; INTERSYMBOL INTERFERENCE; LINEAR SYSTEMS; LOCAL AREA NETWORKS; MEAN SQUARE ERROR; MIMO SYSTEMS; MULTIPLEXING EQUIPMENT; ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING; SIGNAL RECEIVERS; SINGULAR VALUE DECOMPOSITION; TRANSMISSIONS;

CHANNEL STATE INFORMATION AT THE TRANSMITTERS; INTERSYMBOL INTERFERENCE CHANNELS; ITERATIVE DETECTION AND DECODING; ITERATIVE RECEIVERS; LINEAR MINIMUM MEAN-SQUARE ERRORS; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNELS; PARALLEL TRANSMISSION; WATER-FILLING POWER ALLOCATIONS;

ITERATIVE DECODING;

EID: 84908248349     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2014.2349513     Document Type: Article

References (58)

1. C. Berrou, A. Glavieux, and P. Thitimajshima, "Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1," in Proc. ICC, Geneva, Switzerland, May 1993, pp. 1064-1070.
2. T. J. Richardson, M. A. Shokrollahi, and R. L. Urbanke, "Design of capacity-approaching irregular low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 619-637, Feb. 2001.
3. C. Douillard et al., "Iterative correction of intersymbol interference: Turbo-equalization," Eur. Trans. Telecommun., vol. 6, no. 5, pp. 507-511, Sep./Oct. 1995.
4. M. Tüchler, R. Koetter, and A. C. Singer, "Turbo equalization: Principles and new results," IEEE Trans. Commun., vol. 50, no. 5, pp. 754-767, May 2002.
5. B. M. Hochwald and S. ten Brink, "Achieving near-capacity on a multiple-antenna channel," IEEE Trans. Commun., vol. 51, no. 3, pp. 389-399, Mar. 2003.
6. A. Sanderovich, M. Peleg, and S. Shamai, "LDPC coded MIMO multiple access with iterative joint decoding," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1437-1450, Apr. 2005.
7. X. Wang and H. V. Poor, "Iterative (turbo) soft interference cancellation and decoding for coded CDMA," IEEE Trans. Commun., vol. 47, no. 7, pp. 1046-1061, Jul. 1999.
8. J. Boutros and G. Caire, "Iterative multiuser joint decoding: Unified framework and asymptotic analysis," IEEE Trans. Inf. Theory, vol. 48, no. 7, pp. 1772-1793, Jul. 2002.
9. G. Caire, R. Muller, and T. Tanaka, "Iterative multiuser joint decoding: Optimal power allocation and low-complexity implementation," IEEE Trans. Inf. Theory, vol. 50, no. 9, pp. 1950-1973, Sep. 2004.
10. X. Yuan, Q. Guo, and L. Ping, "Low-complexity iterative detection in multi-user MIMO ISI channels," IEEE Signal Process. Lett., vol. 15, pp. 25-28, 2008.
11. S. ten Brink, G. Kramer, and A. Ashikhmin, "Design of low-density parity-check codes for modulation and detection," IEEE Trans. Commun., vol. 52, no. 4, pp. 670-678, Apr. 2004.
12. A. Ashikhmin, G. Kramer, and S. ten Brink, "Extrinsic information transfer functions: Model and erasure channel properties," IEEE Trans. Inf. Theory, vol. 50, no. 11, pp. 2657-2673, Nov. 2004.
13. S. ten Brink, "Convergence behavior of iteratively decoded parallel concatenated codes," IEEE Trans. Commun., vol. 49, no. 10, pp. 1727-1737, Oct. 2001.
14. K. Bhattad and K. R. Narayanan, "An MSE-based transfer chart for analyzing iterative decoding schemes using a Gaussian approximation," IEEE Trans. Inf. Theory, vol. 53, no. 1, pp. 22-38, Jan. 2007.
15. D. Guo, S. Shamai, and S. Verdú, "Mutual information and minimum mean-square error in Gaussian channels," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1261-1282, Apr. 2005.
16. A. Lozano, A. M. Tulino, and S. Verdú, "Optimum power allocation for parallel Gaussian channels with arbitrary input distributions," IEEE Trans. Inf. Theory, vol. 52, no. 7, pp. 3033-3051, Jul. 2006.
17. X. Yuan, Q. Guo, X. Wang, and L. Ping, "Evolution analysis of lowcost iterative equalization in coded linear systems with cyclic prefixes," IEEE J. Sel. Areas Commun., vol. 26, no. 2, pp. 301-310, Feb. 2008.
18. S. Verdú, Multiuser Detection. Cambridge, U.K.: Cambridge Univ. Press, 1998.
19. U. Wachsmann, R. F. H. Fischer, and J. B. Huber, "Multilevel codes: Theoretical concepts and practical design rules," IEEE Trans. Inf. Theory, vol. 45, no. 5, pp. 1361-1391, Jul. 1999.
20. S. Gadkari and K. Rose, "Time-division versus superposition coded modulation schemes for unequal error protection," IEEE Trans. Commun., vol. 47, no. 3, pp. 370-379, Mar. 1999.
21. A. Scaglione, G. B. Giannakis, and S. Barbarossa, "Redundant filterbank precoders and equalizers. I. Unification and optimal designs," IEEE Trans. Signal Process., vol. 47, no. 7, pp. 1988-2006, Jul. 1999.
22. M. Vu and A. Paulraj, "MIMO wireless linear precoding," IEEE Signal Process. Mag., vol. 24, no. 5, pp. 86-105, Sep. 2007.
23. D. P. Palomar, J. M. Cioffi, and M. A. 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.
24. Y. Jiang, J. Li, and W. W. Hager, "Joint transceiver design for MIMO communications using geometric mean decomposition," IEEE Trans. Signal Process., vol. 53, no. 10, pp. 3791-3803, Oct. 2005.
25. F. Xu, T. N. Davidson, J.-K. Zhang, and K. M. Wong, "Design of block transceivers with decision feedback detection," IEEE Trans. Signal Process., vol. 54, no. 3, pp. 965-978, Mar. 2006.
26. H. Sampath, P. Stoica, and A. Paulraj, "Generalized linear precoder and decoder design for MIMO channels using the weighted MMSE criterion," IEEE Trans. Commun., vol. 49, no. 12, pp. 2198-2206, Dec. 2001.
27. D. A. Schmidt, M. Joham, and W. Utschick, "Minimum mean square error vector precoding," Eur. Trans. Telecommun., vol. 19, no. 3, pp. 219-231, Apr. 2008.
28. X. Yuan, C. Xu, L. Ping, and X. Lin, "Precoder design for multiuser MIMO ISI channels based on iterative LMMSE detection," IEEE J. Sel. Topics Signal Process., vol. 3, no. 6, pp. 1118-1128, Dec. 2009.
29. F. Rey, M. Lamarca, and G. Vazquez, "Robust power allocation algorithms for MIMO OFDM systems with imperfect CSI," IEEE Trans. Signal Process., vol. 53, no. 3, pp. 1070-1085, Mar. 2005.
30. 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.
31. J. Wang and D. P. Palomar, "Robust MMSE precoding in MIMO channels with pre-fixed receivers," IEEE Trans. Signal Process., vol. 58, no. 11, pp. 5802-5818, Nov. 2010.
32. X. Yuan and L. Ping, "Space-time linear precoding and iterative LMMSE detection for MIMO channels without CSIT," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Saint Petersburg, Russia, Jul./Aug. 2011, pp. 1297-1301.
33. E. Visotsky and U. Madhow, "Space-time transmit precoding with imperfect feedback," IEEE Trans. Inf. Theory, vol. 47, no. 6, pp. 2632-2639, Sep. 2001.
34. S. Venkatesan, S. H. Simon, and R. A. Valenzuela, "Capacity of a Gaussian MIMO channel with nonzero mean," in Proc. IEEE Veh. Tech. Conf., vol. 3. Oct. 2003, pp. 1767-1771.
35. R. G. Gallager, Information Theory and Reliable Communication. New York, NY, USA: Wiley, 1968.
36. R. Muller and W. H. Gerstacker, "On the capacity loss due to separation of detection and decoding," IEEE Trans. Inf. Theory, vol. 50, no. 8, pp. 1769-1778, Aug. 2004.
37. T. J. Richardson and R. L. Urbanke, "The capacity of low-density paritycheck codes under message-passing decoding," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 599-618, Feb. 2001.
38. S. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Upper Saddle River, NJ, USA: Prentice-Hall, 1993.
39. H.-A. Loeliger, J. Dauwels, J. Hu, S. Korl, L. Ping, and F. R. Kschischang, "The factor graph approach to model-based signal processing," Proc. IEEE, vol. 95, no. 6, pp. 1295-1322, Jun. 2007.
40. D. Tse and P. Viswanath, Fundamentals of Wireless Communication. Cambridge, U.K.: Cambridge Univ. Press, 2005.
41. F. Pérez-Cruz, M. R. D. Rodrigues, and S. Verdú, "MIMO Gaussian channels with arbitrary inputs: Optimal precoding and power allocation," IEEE Trans. Inf. Theory, vol. 56, no. 3, pp. 1070-1084, Mar. 2010.
42. M. Payaró and D. P. Palomar, "On optimal precoding in linear vector Gaussian channels with arbitrary input distribution," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Jun./Jul. 2009, pp. 1085-1089.
43. D. Guo, Y. Wu, S. Shamai, and S. Verdú, "Estimation in Gaussian noise: Properties of the minimum mean-square error," IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2371-2385, Apr. 2011.
44. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York, NY, USA: Wiley, 1991.
45. K. R. Narayanan, D. N. Doan, and R. V. Tamma, "Design and analysis of LDPC codes for turbo equalization with optimal and suboptimal soft output equalizers," in Proc. Allerton Conf. Commun., Control, Comput., Monticello, IL, USA, Oct. 2002, pp. 737-746.
46. Y. Xin, Z. Wang, and G. B. Giannakis, "Space-time diversity systems based on linear constellation precoding," IEEE Trans. Wireless Commun., vol. 2, no. 2, pp. 294-309, Mar. 2003.
47. A. G. I. Fàbregas, A. Martinez, and G. Caire, "Bit-interleaved coded modulation," Found. Trends Commun. Inf. Theory, vol. 5, nos. 1-2, pp. 1-153, 2008.
48. X. Yuan, L. Ping, and A. Kavcic, "Achievable rates of MIMO-ISI systems with linear precoding and iterative LMMSE detection," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Saint Petersburg, Russia, Jul./Aug. 2011, pp. 2909-2913.
49. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
50. A. Goldsmith, S. A. Jafar, N. Jindal, and S. Vishwanath, "Capacity limits of MIMO channels," IEEE J. Sel. Areas Commun., vol. 21, no. 5, pp. 684-701, Jun. 2003.
51. R. H. Gohary and T. N. Davidson, "On rate-optimal MIMO signalling with mean and covariance feedback," IEEE Trans. Wireless Commun., vol. 8, no. 2, pp. 912-921, Feb. 2009.
52. H. V. Poor and S. Verdú, "Probability of error in MMSE multiuser detection," IEEE Trans. Inf. Theory, vol. IT-43, no. 3, pp. 835-847, May 1997.
53. 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.
54. R. B. Ash and C. Doléans-Dade, Probability and Measure Theory. San Francisco, CA, USA: Academic, 2000.
55. D. Guo and S. Verdú, "Randomly spread CDMA: Asymptotics via statistical physics," IEEE Trans. Inf. Theory, vol. 51, no. 6, pp. 1983-2010, Jun. 2005.
56. S. Shamai and S. Verdú, "The impact of frequency-flat fading on the spectral efficiency of CDMA," IEEE Trans. Inf. Theory, vol. 47, no. 4, pp. 1302-1327, May 2001.
57. L. Ping, J. Tong, X. Yuan, and Q. Guo, "Superposition coded modulation and iterative linear MMSE detection," IEEE J. Sel. Areas Commun., vol. 27, no. 6, pp. 995-1004, Aug. 2009.
58. G. Caire and S. Shamai, "On the capacity of some channels with channel state information," IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 2007-2019, Sep. 1999.