Low-complexity decoding via reduced dimension maximum-likelihood search

IEEE Transactions on Signal Processing

Volumn 58, Issue 3 PART 2, 2010, Pages 1780-1793

  Choi, Jun Won ^a   Shim, Byonghyo ^b   Singer, Andrew C ^a   Cho, Nam Ik ^c  

^a University of Illinois at Urbana Champaign   (United States)

^b Korea University   (South Korea)

^c Seoul National University   (South Korea)

Author keywords

Dimension reduction; List tree search; Maximumlikelihood (ML) decoding; Minimum mean square error (MMSE); Multiple input multiple output (MIMO); Sphere decoding; Stack algorithm

Indexed keywords

DIMENSION REDUCTION; MAXIMUMLIKELIHOOD (ML) DECODING; MINIMUM MEAN-SQUARE ERROR; MULTIPLE INPUT MULTIPLE OUTPUT; SPHERE DECODING; STACK ALGORITHM; TREE SEARCH;

ALGORITHMS; BIT ERROR RATE; DECODING; MIMO SYSTEMS; PLANT EXTRACTS; QUADRATURE AMPLITUDE MODULATION; SPHERES; TREES (MATHEMATICS); VECTOR SPACES;

MAXIMUM LIKELIHOOD;

EID: 79956257703     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2036482     Document Type: Article

References (45)

1. G. J. Foschini and M. J. Gans, "On limits of wireless communication a fading environment when using multiple antennas," Wireless Personal Commun., vol. 6, pp. 311-335, Mar. 1998. (Pubitemid 128513099)
2. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, pp. 585-596, Nov. 1999.
3. U. Fincke and M. Pohst, "Improved methods for calculating vectors of short length in a lattice, including a complexity analysis," Math. Comput., vol. 44, pp. 463-471, Apr. 1985.
4. E. Viterbo and E. Giglieri, "A universal lattice decoder," in GRESTSI 14-eme Colloque, Juan-les-Pins, France, Sep. 1993.
5. M. O. Damen, H. E. Gamel, and G. Caire, "On maximum-likelihood detection and the search for the closest lattice point," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2389-2402, Oct. 2003.
6. B. Hassibi and H. Vikalo, "On the sphere-decoding algorithm I. Expected complexity," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2806-2818, Aug. 2005.
7. B. Hassibi and H. Vikalo, "On the sphere-decoding algorithm II. Generalizations, second-order statistics, and applications to communications," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2819-2834, Aug. 2005.
8. C. P. Schnorr and M. Euchner, "Lattice basis reduction: Improved practical algorithms and solving subset sum problems," Math. Program., vol. 66, pp. 181-191, 1994.
9. E. Agrell, T. Eriksson, A. Vardy, and K. Zegar, "Closet point search in lattices," IEEE Trans. Inf. Theory, vol. 48, no. 8, pp. 2201-2214, Aug. 2002.
10. A. M. Chan and I. Lee, "A new reduced-complexity sphere decoder for multiple antenna systems," in Proc. Int. Conf. Commun., Apr. 2002, pp. 460-464. (Pubitemid 34631890)
11. J. Jalden and B. Ottersten, "On the complexity of sphere decoding in digital communication," IEEE Trans. Signal Process., vol. 53, no. 4, pp. 1474-1484, Apr. 2005. (Pubitemid 40535696)
12. A. Li, W. Xu, Y. wang, Z. Zhou, and J.Wang, "A faster ML sphere decoder with competing branches," in Proc. IEEE VTC Conf., Jun. 2005, pp. 438-441. (Pubitemid 41424180)
13. W. Zhao and G. B. Giannakis, "Sphere decoding algorithms with improved radius search," IEEE Trans. Commun., vol. 53, no. 7, pp. 1104-1109, Jul. 2005. (Pubitemid 41179144)
14. W. Zhao and G. B. Giannakis, "Reduced complexity closest point decoding algorithms for random lattices," IEEE Trans. Wireless Commun., vol. 5, no. 1, pp. 101-111, Jan. 2006. (Pubitemid 43131875)
15. Z. Guo and P. Nilsson, "Algorithm and implementation of the K-best sphere decoding for MIMO detection," IEEE J. Sel. Areas Commun., vol. 24, no. 2, pp. 491-503, Mar. 2006.
16. R. Gowaikar and B. Hassibi, "Statistical pruning for near-Maximum likelihood decoding," IEEE Trans. Signal Process., vol. 55, pp. 2661-2675, Jun. 2007. (Pubitemid 46851632)
17. B. Shim and I. Kang, "Sphere decoding with a probabilistic tree pruning," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4867-4878, Oct. 2008.
18. P. W.Wolniansky, G. J. Foschini, G. D. Golden, and R. A. Valenzuela, "V-BLAST: An architecture for realizaing very high data rates over the rich-scattering wireless channel," in Proc. URSI Int. Symp. Signals, Syst., Electron., Sep. 1998, pp. 295-300.
19. F. Jelinek, "A fast sequential decoding algorithm using a stack," IBM J. Res. Develop., vol. 13, pp. 675-685, Nov. 1969.
20. W. Xu, Y. Wang, Z. Zhou, and J. Wang, "A computationally efficient exact ML sphere decoder," in Proc. IEEE Global Telecommun. Conf., Nov. 2004, pp. 2594-2598. (Pubitemid 40611071)
21. J. B. Anderson and S. Mohan, "Sequential coding algorithms: A survey and cost analysis," IEEE Trans. Commun., vol. COM-32, no. 2, pp. 169-176, Feb. 1984. (Pubitemid 14547954)
22. M. Kokkonen and K. Kalliojarvi, "Soft-decision decoding of binary linear codes using the t-algorithm," in Proc. IEEE 8th Int. Symp. Personal, Indoor and Mobile Radio Commun. (PIMRC), Finland, Sep. 1997, pp. 1181-1185.
23. W. K. Ma, T. N. Davidson, K. Wong, Z. Q. Luo, and P. C. Ching, "Quasi-maximum-likelihood multiuser detection using semi-definite relaxation with application to synchronous CDMA," IEEE Trans. Signal Process., vol. 50, no. 4, pp. 912-922, Apr. 2002. (Pubitemid 34459786)
24. A. D. Murugan, H. E. Gamal, M. O. Damen, and G. Caire, "A unified framework for tree search decoding: Rediscovering the sequential decoder," IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 933-953, Mar. 2006. (Pubitemid 46444883)
25. X. Li, H. C. Huang, A. Lozano, and G. J. Foschini, "Reduced- complexity detection algorithms for systems using multi-element arrays," in Proc. IEEE Global Telecommun. Conf., Nov. 2000, pp. 1072-1076. (Pubitemid 32137456)
26. W. Choi, R. Negi, and J. Cioffi, "Combined ML and DFE decoding for the V-BLAST system," in Proc. IEEE ICC, Nov. 2000, pp. 1243-1248.
27. L. G. Barbero and J. S. Thompson, "Performance analysis of a fixedcomplexity sphere decoder in high-dimensional MIMO systems," in Proc. IEEE ICASSP, May 2006, pp. 14-19.
28. J. Jalden, L. G. Barbero, B. Ottersten, and J. S. Thompson, "Full diversity detection in MIMO systems with a fixed-complexity sphere decoder," in Proc. IEEE ICASSP, Apr. 2007, pp. III-49-III-52. (Pubitemid 47177931)
29. Y. Li and Z. Luo, "Parallel detection for V-BLAST system," in Proc. IEEE ICC, May 2002, pp. 340-344. (Pubitemid 34631867)
30. Z. Luo, M. Zhao, S. Liu, and Y. Liu, "Generalized parallel interference cancellation with near-optimal detection performance," IEEE Trans. Signal Process., vol. 56, no. 1, pp. 304-312, Jan. 2008.
31. D. W. Water and J. R. Barry, "The chase family of detection algorithms for multiple-input multiple-output channels," IEEE Trans. Signal Process., vol. 56, no. 2, pp. 739-747, Feb. 2008. (Pubitemid 351285068)
32. A. Elkhazin, K. N. Plataniotis, and S. Pasupathy, "Reduced-dimension MAP turbo-BLAST detection," IEEE Trans. Commun., vol. 54, no. 1, pp. 108-118, Jan. 2006. (Pubitemid 43141855)
33. E. G. Larsson and J. Jalden, "Fixed-complexity soft MIMO detection via partial marginalization," IEEE Trans. Signal Process., vol. 56, no. 8, pp. 3397-3407, Aug. 2008.
34. B. Hochwald and S. T. Brink, "Achieving near-capacity on a multipleantenna channel," IEEE Trans. Commun., vol. 51, no. 3, pp. 389-399, Mar. 2003.
35. J. Hagenauer and C. Kuhn, "The list-sequential (LISS) algorithm and its application," IEEE Trans. Commun., vol. 55, no. 5, pp. 918-928, May 2007. (Pubitemid 46796007)
36. S. Bittner, E. Zimmermann, W. Rave, and G. Fettweis, "List sequential MIMO detection: Noise bias term and partial path augmentation," in Proc. IEEE ICC, Istanbul, Turkey, Jun. 2006.
37. E. Biglieri, G. Taricco, and A. Tulino, "Decoding space-time codes with BLAST architectures," IEEE Trans. Signal Process., vol. 50, no. 10, pp. 2547-2552, Oct. 2002. (Pubitemid 35151716)
38. B. Hassibi, "An efficient square-root algorithm for BLAST," in Proc. IEEE Int. Conf. Acoust., Speech Signal Process., Jun. 2000, pp. 11737-11740.
39. J. W. Choi, B. Shim, A. C. Singer, and N. I. Cho, "A low-complexity near-ML decoding technique via reduced dimension list stack algorithm," Proc. IEEE SAM 2008, pp. 41-44, Jul. 2008.
40. H. V. Poor and S. Verdu, "Probability of error in MMSE multiuser detection," IEEE Trans. Inf. Theory, vol. 43, no. 3, pp. 858-871, May 1997. (Pubitemid 127828009)
41. P. Li, D. Paul, R. Narasimhan, and J. Cioffi, "On the distribution of SINR for the MMSEMIMO receiver and performance analysis," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 271-286, Jan. 2006. (Pubitemid 43263136)
42. Y. Jiang, X. Zheng, and J. Li, "Asymptotic performance analysis of V-BLAST," in Proc. IEEE Globecom 2005,Nov. 2005, pp. 3885-3886.
43. F. D. Neeser and J. L. Massey, "Proper complex random processes with application to information theory," IEEE Trans. Inf. Theory, vol. 39, no. 4, pp. 1293-1302, Jul. 1993.
44. J. G. Proakis, Digital Communications, 4th ed. New York: McGraw Hill, 2001.
45. D. Tse and P.Viswanath, Fundamentals ofWireless Communication. Cambridge, U.K.: Cambridge Univ. Press, 2005.