Single-symbol maximum likelihood decodable linear STBCs

IEEE Transactions on Information Theory

Volumn 52, Issue 5, 2006, Pages 2062-2091

  Khan, Md Zafar Ali ^a   Rajan, B Sundar ^b  

^a INTERNATIONAL INSTITUTE OF INFORMATION TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Diversity; Fast ML decoding; Multiple input multiple output (MIMO); Orthogonal designs; Space time block codes (STBCs)

Indexed keywords

ANTENNAS; CODES (SYMBOLS); DECODING; MATRIX ALGEBRA; RAYLEIGH FADING;

COORDINATE INTERLEAVED ORTHOGONAL DESIGNS (CIOD); FADING CHANNELS; FAST MAXIMUM LIKELIHOOD DECODING; MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO); ORTHOGONAL DESIGNS; SPACE-TIME BLOCK CODES (STBCS);

COMMUNICATION CHANNELS (INFORMATION THEORY);

EID: 33646066276     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.872970     Document Type: Article

References (65)

1. J. G. J. Foschini and M. J. Gans, "On limits of wireless communication in a fading environment using multiple antennas," Wireless Pers. Commun., vol. 6, no. 3, pp. 311-335, Mar. 1998.
2. E. Teletar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov. 1999.
3. N. Seshadri and J. H. Winters, "Two signaling schemes for improving the error performance of FDD transmission systems using transmitter antenna diversity," Int. J. Wireless Inf. Netw, vol. 1, pp. 49-60, 1994.
4. J. Guey, M. P. Fitz, M. R. Bell, and W. Y. Kuo, "Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels," in Proc. IEEE VTC 96, 1996, pp. 136-140.
5. V. Weerackody, "Diversity of direct-sequence spread spectrum system using multi transmit antennas," in Proc. IEEE ICC'93, 1993, pp. 1775-1779.
6. J. Winters, "Switched diversity with feedback for DPSK mobile radio systems," in IEEE Trans. Veh. Technol., vol. VT-32, Feb. 1983, pp. 134-150.
7. J. Winters, "Diversity gain of transmit diversity in wireless systems with Rayleigh fading," in Proc. IEEE ICC'94, vol. 2, 1994, pp. 1121-1125.
8. V. Tarokh, N. Seshadri, and A. R. Calderbank, "Space-time codes for high data rate wireless communication: Performance criterion and code construction," IEEE Trans. Inf. Theory, vol. 44, pp. 744-765, Mar. 1998.
9. V. Tarokh, H. Jafarkhani, and A. R. Calderbank, "Space-time block codes from orthogonal designs," IEEE Trans. Inf. Theory, vol. 45, pp. 1456-1467, Jul. 1999.
10. V. Tarokh, H. Jafarkhani, and A. R. Calderbank, "Space-time block codes from Orthogonal designs," IEEE Trans. Inf. Theory, vol. 46, no. 1, pp. 314-314, Jan. 2000.
11. O. Tirkkonen and A. Hottinen, "Square matrix embeddable STBC for complex signal constellations," IEEE Trans. Inf. Theory, vol. 48, pp. 384-395, Feb. 2002.
12. S. M. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Sel. Areas Commun., vol. 16, pp. 1451-1458, Oct. 1998.
13. G. Ganesan and P. Stoica, "Space-time diversity," in Signal Processing Advances in Wireless and Mobile Communications AUTHOR: PLEASE PROVIDE PUBLISHER AND LOCATION - ED., 2000, vol. 1, ch. 2, pp. 59-87.
14. G. Ganesan and P. Stoica, "Space-time block codes: A maximal SNR approach," IEEE Trans. Inf. Theory, vol. 47, pp. 1650-1656, May 2001.
15. G. Ganesan and P. Stoica, "Space-time diversity using orthogonal and amicable orthogonal designs," in Proc. ICASSP 2000, Istanbul, Turkey, 2000, pp. 2561-2564.
16. X.-B. Liang and X.-G. Xia, "On the nonexistence of rate-one generalized complex orthogonal designs," IEEE Trans. Inf. Theory, vol. 49, pp. 2984-2988, Nov. 2003.
17. X.-B. Liang, "Orthogonal designs with maximal rates," IEEE Trans. Inf. Theory, vol. 49, pp. 2468-2503, Oct. 2003.
18. W. Su and X.-G. Xia, "Two generalized complex orthogonal space-time block codes of rates 7/11 and 3/5 for 5 and 6 transmit antennas," IEEE Trans. Inf. Theory, vol. 49, pp. 313-316, Jan. 2003.
19. W. Su and X.-G. Xia, "On space-time block codes from complex orthogonal designs," Wireless Pers. Commun., vol. 25, no. 1, pp. 1-26, Apr. 2003.
20. G. Ganesan, "Designing space-time codes using orthogonal designs," Ph.D. dissertation, Uppsala Univ., Uppasal, Sweden, 2002.
21. H. Jafarkhani, "A quasiorthogonal space-time block code," IEEE Trans. Commun., vol. 49, pp. 1-4, Jan. 2001.
22. O. Tirkkonen and A. Hottinen, "Complex space-time block codes for four Tx antennas," in Proc. GLOBECOM 2000, Nov. 2000, pp. 1005-1009.
23. N. Sharma and C. B. Papadias, "Improved quasiorthogonal codes through constellation rotation," IEEE Trans. Commun., vol. 51, pp. 332-335, Mar. 2003.
24. N. Sharma and C. B. Papadias, "Improved quasiorthogonal codes," in Proc. IEEE WCNC 2002, Mar. 2002, pp. 169-171.
25. C. B. Papadias and G. J. Foschini, "A space-time coding approach for systems employing four transmit antennas," in Proc. IEEE ICASSP 2002, vol. 4, 2002, pp. 2481-2484.
26. Weifeng-Su and X. Xia, "Quasiorthogonal space-time block codes with full-diversity," in Proc. GLOBECOM 2002, vol. 2, Taipai, Taiwan, Nov. 2002, pp. 1098-1102.
27. W. Su and X.-G. Xia, "Signal constellations for quasiorthogonal space-time block codes with full-diversity," IEEE Trans. Inf. Theory, vol. 50, pp. 2331-2347, Oct. 2004.
28. T. Josefiak, "Realization of Hurwitz-Radon matrices," Queen's Papers Pure Appl. Math., no. 36, pp. 346-351, 1976.
29. A. V. Geramita and J. M. Geramita, "Complex orthogonal designs," J. Combin. Theory, vol. 25, pp. 211-225, 1978.
30. I. N. Herstein, Non-Commutative Rings, set. Carus mathematical monograms. Washington, DC: Math. Assoc. Amer, 1968, vol. 15.
31. A. V. Geramita and J. Seberry, Orthogonal Designs, Quadratic Forms and Hadamard Matrices, set. Lecture Notes in Pure and Applied Mathematics. Berlin, Germany: Springer, 1979, vol. 43.
32. Y. Xin, Z. Wang, and G. B. Giannakis, "Space-time constellation rotating codes maximizing diversity and coding gains," in Proc. IEEE GLOBECOM 2001, vol. 1, Vancouver, Canada, Nov. 2001, pp. 455-459.
33. Y. Xin, Z. Wang, and G. B. Giannakis, "Linear unitary precoders for maximum diversity gains with multiple transmit and receive antennas," in Proc. IEEE ASILOMAR 2000, Pacific Grove, CA, Nov. 2000, pp. 1553-1557.
34. M. O. Damen, K. Abed-Meraim, and J.-C. Belfiore, "Diagonal algebraic space-time block codes," IEEE Trans. Inf. Theory, vol. 48, pp. 384-395, Mar. 2002.
35. M. O. Damen and N. C. Beaulieu, "On diagonal algebraic space-time block codes," IEEE Trans. Commun., vol. 51, Jun. 2003.
36. B. Hassibi and B. Hochwald, "High-rate codes that are linear in space and time," IEEE Trans. Inf. Theory, vol. 48, pp. 1804-1824, Jul. 2002.
37. S. Sandhu, "Signal design for MIMO wireless: A unified perspective," Ph.D. dissertation, Stanford Univ., Stanford, CA, 2002.
38. M. O. Damen, K. Abed-Meraim, and J.-C. Belfiore, "Lattice codes decoder for space-time codes," IEEE Commun. Lett., vol. 4, pp. 161-163, May 2000.
39. M. O. Damen, K. Abed-Meraim, and J.-C. Belfiore, "Generalized sphere decoder for asymmetrical space-time communication architecture," Electron. Lett., vol. 36, no. 2, pp. 166-167, Jan. 2000.
40. S. B. Slimane, "An improved PSK scheme for fading channels," IEEE Trans. Veh. Technol., vol. 47, pp. 703-710, May 1998.
41. S. B. Slimane, "An improved PSK scheme for fading channels," in Proc. IEEE GLOBECOM '96, Nov. 1996, pp. 1276-1280.
42. B. D. Jelicic and S. Roy, "Design of trellis coded QAM for flat fading and AWGN channel," IEEE Trans. Veh. Technol., vol. 44, pp. 192-201, Feb. 1995.
43. B. D. Jelicic and S. Roy, "Cutoff rates for coordinate interleaved QAM over Rayleigh fading channel," IEEE Trans. Commun., vol. 44, pp. 1231-1233, Oct. 1996.
44. D. Goeckel, "Coded modulation with nonstandard signal sets for wireless OFDM systems," in Proc. IEEE ICC 1999, vol. 2, 1999, pp. 791-795.
45. A. Chindapol and J. Ritcey, "Bit-interleaved coded modulation with signal space diversity in Rayleigh fading," in Proc. IEEE ASILOMAR, vol. 2, Pacific Grove, CA, Nov. 1999, pp. 1003-1007.
46. M. Z. A. Khan and B. S. Rajan, "A Co-Ordinate Interleaved Orthogonal Design for Four Transmit Antennas," Dep. Elect. Commun. Eng., Indian Inst. Sci., Bangalore, India, IISc-DRDO Rep. No. TR-PME-2002-17, 2002.
47. M. Z. A. Khan and B. S. Rajan, "A coordinate interleaved orthogonal design for three transmit antennas," in Proc. Nat. Conf. Commun., Mumbai, India, Jan. 2002.
48. M. Z. A. Khan and B. S. Rajan, "Space-time block codes from coordinate interleaved orthogonal designs," in Proc. ISIT 2002, Lausanne, Switzerland, Jun.-Jul. 30-5, 2002, pp. 316-316.
49. M. Z. A. Khan, B. S. Rajan, and M. H. Lee, "On single-symbol and double-symbol decodable STBC's," in Proc. ISIT 2003, Yokohama, Japan, Jun.-Jul. 29-3, 2003, pp. 127-127.
50. M. Z. A. Khan and B. S. Rajan, "Space-time block codes from designs for fast-fading channels," in Proc. ISIT 2003, Yokohama, Japan, Jun.-Jul. 29-4, 2003, pp. 154-154.
51. M. Z. A. Khan and B. S. Rajan, "A generalization of some existence results on orthogonal designs for STBC's," IEEE Trans. Inf. Theory, vol. 50, pp. 218-219, Jan. 2004.
52. M. Z. A. Khan and B. S. Rajan, "Space-time block codes from designs for fast-fading wireless communication," Dep. Elect. Commun. Eng., Indian Inst. Sci., Bangalore, India, IISc-DRDO Tech. Rep., No: TR-PME-2003-07, 2003.
53. B. S. Rajan, M. Z. A. Khan, and M. H. Lee, "A Co-ordinate interleaved orthogonal design for eight transmit antennas," Dep. Elect. Commun. Eng., Indian Inst. Sci., Bangalore, India, IISc-DRDO Rep. No. TR-PME-2002-16, 2002.
54. Z. A. Khan, B. S. Rajan, and H. H. Lee, "Rectangular coordinate interleaved orthogonal designs," in Proc. IEEE GLOBECOM 2003, Commun. Theory Symp., vol. 4, San Francisco, CA, Dec. 2003, pp. 2004-2009.
55. M. Z. A. Khan and B. S. Rajan, "Bit and coordinate interleaved coded modulation," in Proc. IEEE GLOBECOM 2000, San Francisco, CA, Nov. 2000, pp. 1595-1599.
56. M. Z. A. Khan, "Single-symbol and double-symbol decodable STBC's for MIMO fading channels," Ph.D. dissertation, Indian Inst. Sci., Bangalore, India, 2003.
57. C. Yuen, Y. L. Guan, and T. T. Tjhung, "Construction of quasiorhogonal STBC with minimum decoding complexity from amicable orthogonal designs," in Proc. ISIT 2004, Chicago, IL, Jun.-Jul. 29-3, 2004.
58. C. Yuen, Y. L. Guan, and T. T. Tjhung, "Quasiorthogonal STBC with minimum decoding complexity: Further results," in Proc. WCNC 2005, USA, 2005, pp. 483-488.
59. H. Wang, D. Wang, and X.-G. Xia, "On optimal quasiorthogonal space-time block codes with minimum decoding complexity" in Proc. ISIT 2005, pp. 1168-1172.
60. K. Boullé and J. C. Belfiore, "Modulation scheme designed for Rayleigh fading channel," in Proc. CISS'92, Princeton, NJ, Mar. 1992.
61. J. Boutrous, E. Viterbo, C. Rastello, and J. C. Belfiore, "Good lattice constellationsfor both Rayleigh fading and gaussian channel," IEEE Trans. Inf. Theory, vol. 42, pp. 502-518, Mar. 1996.
62. J. Boutrous and E. Viterbo, "Signal space diversity: A power and bandwidth efficient diversity technique for Rayleigh fading channel," IEEE Trans. Inf. Theory, vol. 44, pp. 1453-1467, Jul. 1998.
63. Z. Chen, J. Yuan, and B. Vucetic, "An improved space-time trellis coded modulation scheme on slow Rayleigh fading channels," in Proc. IEEE Int. Conf. Commun. 2001, vol. 4, Helsinki, Finland, Jun. 2001, pp. 1110-1116.
64. M. A. Maddah-Ali and A. K. Khandani, "A new nonorthogonal space-time code with low decoding complexity," unpublished (in private communication).
65. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge University Press, 1985.