Hybrid ARQ in multiple-antenna slow fading channels: Performance limits and optimal linear dispersion code design

IEEE Transactions on Information Theory

Volumn 57, Issue 9, 2011, Pages 5863-5883

  Shen, Cong ^a   Fitz, Michael P ^b  

^a QUALCOMM INC   (United States)

^b NORTHROP GRUMMAN CORPORATION   (United States)

Author keywords

Hybrid ARQ; linear dispersion code; multiple antenna channels; space time codes

Indexed keywords

AVERAGE RATE; CODED MIMO SYSTEMS; DESIGN CRITERION; ERROR PROBABILITY ANALYSIS; FUNDAMENTAL PERFORMANCE LIMITS; HYBRID ARQ; LINEAR DISPERSION CODES; MULTIPLE ANTENNA; MULTIPLE-ANTENNA CHANNELS; OPTIMAL DESIGN; OPTIMALITY; OPTIMUM DESIGNS; PERFORMANCE LIMITS; RATE ASSIGNMENT; SLOW FADING CHANNEL; SPACE TIME CODE; SPACE TIME CODING;

ANTENNAS; CHANNEL CAPACITY; COMMUNICATION CHANNELS (INFORMATION THEORY); DESIGN; DISPERSIONS; MIMO SYSTEMS; OPTIMAL SYSTEMS; OPTIMIZATION;

FADING CHANNELS;

EID: 80052344999     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2011.2161949     Document Type: Article

References (61)

1. S. Lin, D. Costello, and M. Miller, "Automatic-repeat-request errorcontrol schemes", IEEE Commun. Mag., vol. 22, no. 12, 5-17, Dec. 1984.
2. D. J. Costello, J. Hagenauer, H. Imai, and S. B. Wicker, "Applications of error-control coding", IEEE Trans. Inf. Theory, vol. 44, no. 6, 2531-2560, Oct. 1998.
3. G. Caire and D. Tuninetti, "The throughput of Hybrid-ARQ protocols for the Gaussian collision channel", IEEE Trans. Inf. Theory, vol. 47, no. 5, 1971-1988, Jul. 2001.
4. S. Sesia, G. Caire, and G. Vivier, "Incremental redundancy Hybrid ARQ schemes based on low-density parity-check codes", IEEE Trans. Commun., vol. 52, no. 8, 1311-1321, Aug. 2004.
5. C. Shen, T. Liu, and M. Fitz, "Aggressive transmission with ARQ in quasi-static fading channels", in Proc. IEEE Int. Conf. Communications, May 2008, pp. 1092-1097.
6. C. Shen, T. Liu, and M. Fitz, "On the average rate performance of Hybrid-ARQ in quasi-static fading channels", IEEE Trans. Commun., vol. 57, no. 11, 3339-3352, Nov. 2009.
7. L. Zheng and D. Tse, "Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels", IEEE Trans. Inf. Theory, vol. 49, no. 5, 1073-1096, May 2003.
8. H. El Gamal, G. Caire, and M. O. Damen, "The MIMO ARQ channel: Diversity-multiplexing-delay tradeoff", IEEE Trans. Inf. Theory, vol. 52, no. 8, 3601-3621, Aug. 2006.
9. T. Kim and M. Skoglund, "Diversity-Multiplexing tradeoff in MIMO channels with partial CSIT", IEEE Trans. Inf. Theory, vol. 53, no. 8, 2743-2759, Aug. 2007.
10. A. Chuang, A. G. I. Fabregas, L. K. Rasmussen, and I. B. Collings, "Optimal throughput-diversity-delay tradeoff in MIMO ARQ block-fading channels", IEEE Trans. Inf. Theory, vol. 54, no. 9, 3968-3986, Sep. 2008.
11. E. N. Onggosanusi, A. G. Dabak, Y. Hui, and G. Jeong, "Hybrid ARQ transmission and combining for MIMO systems", in Proc. IEEE Int. Conf. Communications, May 2003, vol. 5, pp. 3205-3209.
12. M.-K. Oh, Y.-H. Kwon, and D.-J. Park, "Efficient Hybrid ARQ with space-time coding and low-complexity decoding", in Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, May 2004, vol. 4, pp. 589-592.
13. E. Jang, J. Lee, H. Lou, and J. Cioffi, "Optimal combining schemes for MIMO systems with Hybrid ARQ", in Proc. IEEE Int. Symp. Information Theory, Jun. 2007, pp. 2286-2290.
14. H. Zheng, A. Lozano, and M. Haleem, "Multiple ARQ processes for MIMO systems", in Proc. 13th IEEE Int. Symp. Personal, Indoor and Mobile Radio Communications, Sep. 2002, vol. 13, pp. 1023-1026.
15. T. Koike, H. Murata, and S. Yoshida, "Hybrid ARQ scheme suitable for coded MIMO transmission", in Proc. IEEE Int. Conf. Communications, Jun. 2004, vol. 5, pp. 2919-2923.
16. S. Moon, H. Park, A. Goldsmith, and M. Oh, "Bit rearrangement for MIMO retransmissions", in Proc. IEEE Global Telecommunications Conf, Nov. 2007, pp. 3509-3513.
17. E. de Carvalho and P. Popovski, "Strategies for ARQ in 2 × 2 MIMO systems", IEEE Commun. Lett., vol. 12, no. 6, 441-443, Jun. 2008.
18. A. V. Nguyen and M. A. Ingram, "Hybrid ARQ protocols using spacetime codes", in Proc. IEEE 54th Vehicular Technology Conf, 2001, vol. 4, pp. 2364-2368.
19. K. Zheng, H. Long, L. Wang, and W. Wang, "Linear space-time precoder with Hybrid ARQ transmission", in Proc. IEEE Global Telecommunications Conf, Nov. 2007, pp. 3543-3547.
20. S. Wicker, Error Control Systems for Digital Communication and Storage. Upper Saddle River, NJ: Prentice-Hall, 1995.
21. D. Chase, "Code combining-A maximum-likelihood decoding approach for combining an arbitrary number of noisy packets", IEEE Trans. Commun., vol. 33, no. 5, 385-393, May 1985.
22. M. Zorzi and R. R. Rao, "On the use of renewal theory in the analysis of ARQ protocols", IEEE Trans. Commun., vol. 44, no. 9, 1077-1081, Sep. 1996.
23. P. Wu and N. Jindal, "Performance of Hybrid-ARQ in block-fading channels: A fixed outage probability analysis", IEEE Trans. Commun., vol. 58, no. 4, 1129-1141, Apr. 2010.
24. Y. Liu, V. K. N. Lau, O. Y. Takeshita, and M. P. Fitz, "Optimal rate allocation for superposition coding in quasi-static fading channels", in Proc. IEEE Int. Symp. Information Theory, Jun.-Jul. 2002, p. 111.
25. S. Shamai and A. Steiner, "A broadcast approach for a single-user slowly fading MIMO channel", IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2617-2635, Oct. 2003.
26. M. Effros, A. Goldsmith, and Y. Liang, "Capacity definitions of general channels with receiver side information", in Proc. IEEE Int. Symp. Information Theory, Jun. 2007, pp. 921-925.
27. E. Telatar, Capacity of Multi-Antenna Gaussian Channels, AT&T-Bell Labs, Tech. Rep., Jun. 1995.
28. M. K. Simon, Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers and Scientists. Boston, MA: Kluwer, 2002.
29. J. Hagenauer, "Rate-compatible punctured convolutional codes (RCPC codes) and their applications", IEEE Trans. Commun., vol. 36, no. 4, 389-400, Apr. 1988.
30. J. Ha, J. Kim, and S. W. McLaughlin, "Rate-compatible puncturing of low-density parity-check codes", IEEE Trans. Inf. Theory, vol. 50, no. 11, pp. 2824-2836, Nov. 2004.
31. N. Varnica, E. Soljanin, and P. Whiting, "LDPC code ensembles for incremental redundancy Hybrid ARQ", in Proc. IEEE Int. Symp. Information Theory, Sep. 2005, pp. 995-999.
32. J. Ha, J. Kim, D. Klinc, and S. W. McLaughlin, "Rate-compatible punctured low-density parity-check codes with short block lengths", IEEE Trans. Inf. Theory, vol. 52, no. 2, 728-738, Feb. 2006.
33. J. Kim, W. Hur, A. Ramamoorthy, and S. W. McLaughlin, "Design of rate-compatible irregular LDPC codes for incremental redundancy Hybrid ARQ systems", in Proc. IEEE Int. Symp. Information Theory, Jul. 2006, pp. 1139-1143.
34. C.-H. Hsu and A. Anastasopoulos, "Capacity achieving LDPC codes through puncturing", IEEE Trans. Inf. Theory, vol. 54, no. 10, 4698-4706, Oct. 2008.
35. M. Luby, "LT codes", in Proc. 43rd Annu. IEEE Symp. Foundations of Computer Science, 2002, pp. 271-282.
36. A. Shokrollahi, "Raptor codes", IEEE Trans. Inf. Theory, vol. 52, no. 6, 2551-2567, Jun. 2006.
37. E. Soljanin, N. Varnica, and P. Whiting, "Punctured vs rateless codes for Hybrid ARQ", presented at the IEEE Information Theory Workshop, Punta del Este, Uruguay, Mar. 2006.
38. B. Hassibi and B. M. Hochwald, "High-rate codes that are linear in space and time", IEEE Trans. Inf. Theory, vol. 48, no. 7, 1804-1824, Jul. 2002.
39. J. K. Zhang, J. Liu, and K. M. Wong, "Trace-orthogonal full diversity cyclotomic space-time codes", in Space-Time Processing for MIMO Communications, A. Gershman and N. Sidiropoulos, Eds. Hoboken, NJ: Wiley, 2005, ch. 5, pp. 169-208.
40. R. Heath and A. Paulraj, "Linear dispersion codes for MIMO systems based on frame theory", IEEE Trans. Signal Process., vol. 50, no. 10, 2429-2441, Oct. 2002.
41. S. M. Alamouti, "A simple transmit diversity technique for wireless communications", IEEE J. Select. Areas Commun., vol. 16, no. 8, 1451-1458, Oct. 1998.
42. A. Dammann and S. Kaiser, "Performance of low complex antenna diversity techniques for mobile OFDM systems", in Proc. 3rd Int. Workshop on Multi-Carrier Spread-Spectrum & Related Topics, Oberpfaffenhofen, Germany, Sep. 2001, pp. 53-64.
43. J.-C. Belfiore, G. Rekaya, and E. Viterbo, "The golden code: A 2 × 2 full-rate space-time code with non-vanishing determinants", IEEE Trans. Inf. Theory, vol. 51, no. 4, 1432-1436, Apr. 2005.
44. M. O. Damen, A. Tewfik, and J.-C. Belfiore, "A construction of a spacetime code based on number theory", IEEE Trans. Inf. Theory, vol. 48, no. 3, 753-760, Mar. 2002.
45. A. R. Calderbank and A. F. Naguib, "Introduction to space-time codes", in Space-Time Wireless Systems: From Array Processing to MIMO Communications, H. Bolcskei, D. Gesbert, C. B. Papadias, and A.-J. van der Veen, Eds. Cambridge, U. K.: Cambridge Univ. Press, 2006, ch. 7, pp. 133-153.
46. S. N. Diggavi, A. R. Calderbank, S. Dusad, and N. Al-Dhahir, "Diversity embedded spacectime codes", IEEE Trans. Signal Process., vol. 54, no. 1, 33-50, Jan. 2008.
47. O. Tirkkonen, A. Boariu, and A. Hottinen, "Minimal non-orthogonality rate 1 space-time block code for 3+ tx antennas", in Proc. 6th IEEE Int. Symp. Spread Spectrum Techniques and Applications, Sep. 2000, pp. 429-432.
48. A. Hottinen and O. Tirkkonen, "Non-orthogonal space-time block code with symbol rate two", presented at the Conf. Information Sciences and Systems, Baltimore, MD, Mar. 2002.
49. H. Jafarkhani, "A quasi-orthogonal space-time block code", IEEE Trans. Commun., vol. 49, no. 1, 1-4, Jan. 2001.
50. C. B. Papadias and G. J. Foschini, "Capacity-approaching space-time codes for systems employing four transmitter antennas", IEEE Trans. Inf. Theory, vol. 49, no. 3, 726-732, Mar. 2003.
51. R. Ran, J. Hou, and M. Lee, "Triangular non-orthogonal space-time block code", in Proc. 57th IEEE Vehicular Technology Conf, Apr. 2003, pp. 292-295.
52. Double-STTD Scheme for HSDPA Systems With Four Transmit Antennas: Link Level Simulation Results, TSG-R WG1 document TSGR1#20 (01) 0458, Texas Instruments, May 2001.
53. R. W. Heath and A. J. Paulraj, "Switching between diversity and multiplexing in MIMO systems", IEEE Trans. Commun., vol. 53, no. 6, 962-968, Jun. 2005.
54. J.-C. 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 Vehicular Technology Conf, Atlanta, GA, 1996, pp. 136-140.
55. J.-C. Guey, M. P. Fitz, M. R. Bell, and W.-Y. Kuo, "Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels", IEEE Trans. Commun., vol. 47, 527-537, Apr. 1999.
56. V. Tarokh, N. Seshadri, and A. Calderbank, "Space-time codes for high data rate wireless communication: Performance criterion and code construction", IEEE Trans. Inf. Theory, vol. 44, no. 3, 744-765, Mar. 1998.
57. S. Siwamogsatham, M. P. Fitz, and J. Grimm, "A new view of performance analysis of transmit diversity schemes in correlated Rayleigh fading", IEEE Trans. Inf. Theory, vol. 48, no. 4, 950-956, Apr. 2002.
58. J. L. Massey, "Turbo codes, space-time codes, and what next?", presented at the IEEE Int. Telecommunications Symp., Sep. 2002.
59. M. P. Fitz, Fundamentals of Communications Systems. New York: McGraw-Hill, 2007.
60. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U. K.: Cambridge Univ. Press, 1985.
61. E. Biglieri, Y. Hong, and E. Viterbo, "On fast-decodable space-time block codes", IEEE Trans. Inf. Theory, vol. 55, no. 2, 524-530, Feb. 2009.