On an achievable rate of large rayleigh block-fading MIMO channels with no CSI

IEEE Transactions on Information Theory

Volumn 59, Issue 10, 2013, Pages 6517-6541

  Takeuchi, Keigo ^a   Muller, Ralf R ^b,c   Vehkapera, Mikko ^d   Tanaka, Toshiyuki ^e  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^d ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^e KYOTO UNIVERSITY   (Japan)

Author keywords

Biased signaling; large system analysis; linear minimum mean squared error (LMMSE) channel estimation; multiple input multiple output (MIMO) systems; noncoherent capacity; Rayleigh block fading channels; replica method; successive decoding (SD); training based transmission

Indexed keywords

BLOCK FADING CHANNEL; LARGE-SYSTEM ANALYSIS; LINEAR MINIMUM MEAN-SQUARED ERRORS; MULTIPLE-INPUT-MULTIPLE-OUTPUT SYSTEMS; NONCOHERENT CAPACITY; REPLICA METHOD; SUCCESSIVE DECODING;

CHANNEL CAPACITY; CHANNEL STATE INFORMATION; DECODING; ENERGY EFFICIENCY; FADING CHANNELS; MEAN SQUARE ERROR; MIMO SYSTEMS; SYSTEMS ANALYSIS;

SIGNAL TO NOISE RATIO;

EID: 84881134660     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2013.2268848     Document Type: Article

References (57)

1. G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Personel Commun., vol. 6, pp. 311-335, 1998. (Pubitemid 128513099)
2. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov.-Dec. 1999. (Pubitemid 129568930)
3. A. M. Tulino, A. Lozano, and S. Verdú, "Impact of antenna correlation on the capacity of multiantenna channels," IEEE Trans. Inf. Theory, vol. 51, no. 7, pp. 2491-2509, Jul. 2005. (Pubitemid 41136404)
4. T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multipleantenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 45, no. 1, pp. 139-157, Jan. 1999.
5. A. Lapidoth and S. M. Moser, "Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2426-2467, Oct. 2003.
6. S. M. Moser, "The fading number of multiple-input multiple-output fading channels with memory," IEEE Trans. Inf. Theory, vol. 55, no. 6, pp. 2716-2755, Jun. 2009.
7. B. M. Hochwald and T. L. Marzetta, "Unitary space-time modulation for multiple-antenna communications in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 46, no. 2, pp. 543-564, Mar. 2000. (Pubitemid 30584052)
8. B. Hassibi and T. L. Marzetta, "Multiple-antennas and isotropically random unitary inputs: The received signal density in closed form," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1473-1484, Jun. 2002. (Pubitemid 34759857)
9. A. L. Moustakas, S. H. Simon, and T. L. Marzetta, "Capacity of differential versus nondifferential unitary space-time modulation for MIMO channels," IEEE Trans. Inf. Theory, vol. 52, no. 8, pp. 3622-3634, Aug. 2006. (Pubitemid 44145119)
10. L. Zheng and D. N. C. Tse, "Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel," IEEE Trans. Inf. Theory, vol. 48, no. 2, pp. 359-383, Feb. 2002. (Pubitemid 34491192)
11. W. Yang, G. Durisi, and E. Riegler, "On the capacity of large-MIMO block-fading channels," IEEE J. Select. Areas Commun., vol. 31, no. 2, pp. 117-132, Feb. 2013.
12. S. Verdú, "Spectral efficiency in the wideband regime," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1319-1343, Jun. 2002.
13. L. Zheng, D. N. C. Tse, and M. Médard, "Channel coherence in the low-SNR regime," IEEE Trans. Inf. Theory, vol. 53, no. 3, pp. 976-997, Mar. 2007. (Pubitemid 46487786)
14. S. Ray, M. Médard, and L. Zheng, "On noncoherent MIMO channels in the wideband regime: Capacity and reliability," IEEE Trans. Inf. Theory, vol. 53, no. 6, pp. 1983-2009, Jun. 2007. (Pubitemid 46852016)
15. B. Hassibi and B. M. Hochwald, "How much training is needed in multiple-antenna wireless link?," IEEE Trans. Inf. Theory, vol. 49, no. 4, pp. 951-963, Apr. 2003.
16. M. Médard, "The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel," IEEE Trans. Inf. Theory, vol. 46, no. 3, pp. 933-946, May 2000.
17. K. Takeuchi, M. Vehkaperä, T. Tanaka, and R. R. Müller, "Large-system analysis of joint channel and data estimation for MIMO DS-CDMA systems," IEEE Trans. Inf. Theory, vol. 58, no. 3, pp. 1385-1412, Mar. 2012.
18. T. Li and O. M. Collins, "A successive decoding strategy for channels with memory," IEEE Trans. Inf. Theory, vol. 53, no. 2, pp. 628-646, Feb. 2007. (Pubitemid 46358440)
19. K. Padmanabhan, S. Venkatraman, and O. M. Collins, "Tight upper and lower bounds on the constrained capacity of non-coherent multiantenna channels," in Proc. IEEE Int. Symp. Inf. Theory, Toronto,ON, Canada, Jul. 2008, pp. 2588-2592.
20. K. Takeuchi, R. R.Müller, M.Vehkaperä, and T. Tanaka, "Practical signaling with vanishing pilot-energy for large noncoherent block-fading MIMO channels," in Proc. IEEE Int. Symp. Inf. Theory, Seoul, Korea, Jun. 2009, pp. 759-763.
21. K. Takeuchi, R. R.Müller, and M. Vehkaperä, "Bias-based training for iterative channel estimation and data decoding in fast fading channels," IEICE Trans. Commun., vol. E94-B, no. 7, pp. 2161-2165, Jul. 2011.
22. K.Takeuchi, R. R.Müller, andM. Vehkaperä, "Aconstruction of turbolike codes for iterative channel estimation based on probabilistic bias," presented at the IEEE Global Commun. Conf., Houston, TX, USA, Dec. 2011.
23. K. Takeuchi, R. R. Müller, and M. Vehkaperä, "Iterative LMMSE channel estimation and decoding based on probabilistic bias," IEEE Trans. Commun., vol. 61, no. 7, pp. 2853-2863, Jul. 2013.
24. D. N. C. Tse and S. V. Hanly, "Linear multiuser receivers: effective interference, effective bandwidth and user capacity," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 641-657, Mar. 1999.
25. S. Verdú and S. S. (Shitz, "Spectral efficiency of CDMA with random spreading," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 622-640, Mar. 1999.
26. J. Evans and D. N. C. Tse, "Large system performance of linear multiuser receivers inmultipath fading channels," IEEE Trans. Inf. Theory, vol. 46, no. 6, pp. 2059-2078, Sep. 2000.
27. 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. (Pubitemid 32508475)
28. T. Tanaka, "A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors," IEEE Trans. Inf. Theory, vol. 48, no. 11, pp. 2888-2910, Nov. 2002. (Pubitemid 35327603)
29. A. L. Moustakas, S. H. Simon, and A. M. Sengupta, "MIMO capacity through correlated channels in the presence of correlated interferers and noise: A (not so) large analysis," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2545-2561, Oct. 2003.
30. R. R. Müller 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.
31. 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. (Pubitemid 40843621)
32. K. Takeda, S. Uda, and Y. Kabashima, "Analysis of CDMA systems that are characterized by eigenvalue spectrum," Europhys. Lett., vol. 76, no. 6, pp. 1193-1199, 2006.
33. C. K. Wen and K. K. Wong, "Asymptotic analysis of spatially correlated MIMO multiple-access channels with arbitrary signaling inputs for joint and separate decoding," IEEE Trans. Inf. Theory, vol. 53, no. 1, pp. 252-268, Jan. 2007.
34. K. Takeuchi, T. Tanaka, and T. Yano, "Asymptotic analysis of general multiuser detectors in MIMO DS-CDMA channels," IEEE J. Select. Areas Commun., vol. 26, no. 3, pp. 486-496, Apr. 2008. (Pubitemid 351540623)
35. D. Sherrington and S. Kirkpatrick, "Solvable model of a spin-glass," Phys. Rev. Lett., vol. 35, no. 26, pp. 1792-1796, Dec. 1975.
36. H. Nishimori, Statistical Physics of Spin Glasses and Information Processing. New York, NY, USA: Oxford Univ. Press, 2001.
37. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond. Singapore: World Scientific, 1987.
38. K. H. Fischer and J. A. Hertz, Spin Glasses. Cambridge, U.K.: Cambridge Univ. Press, 1991.
39. F. Guerra, "Broken replica symmetry bounds in the mean field spin glass model," Commun. Math. Phys., vol. 233, pp. 1-12, 2003. (Pubitemid 36229185)
40. M. Talagrand, "The parisi formula," Annu. Math., vol. 163, pp. 221-263, 2006. (Pubitemid 44077801)
41. F.D. Neeser and J. L.Massey, "Proper complex randomprocesses with applications to information theory," IEEE Trans. Inf. Theory, vol. 39, no. 4, pp. 1293-1302, Jul. 1993.
42. G. D. Forney, Jr, "Trellis shaping," IEEE Trans. Inf. Theory, vol. 38, no. 2, pp. 281-300, Mar. 1992.
43. K. Takeuchi, R. R. Müller, M. Vehkaperä, and T. Tanaka, "An achievable rate of large block-fading MIMO systems with no CSI via successive decoding," in Proc. Int. Symp. Inf. Theory Appl., Taichung, Taiwan, Oct. 2010, pp. 519-524.
44. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. NJ, USA: Wiley, 2006.
45. M. Ledoux, The Concentration of Measure Phenomenon. Providence, RI, USA: American Mathematical Society, 2001.
46. F. Guerra and F. L. Toninelli, "The thermodynamic limit in mean field spin glass models," Commun. Math. Phys., vol. 230, pp. 71-79, 2002. (Pubitemid 36185801)
47. F. Guerra and F. L. Toninelli, "The infinite volume limit in generalized mean field disordered models," Markov. Process. Rel. Fields, vol. 9, pp. 195-207, 2003.
48. L. Cottatellucci and R. R. Müller, "A systematic approach to multistage detectors in multipath fading channels," IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3146-3158, Sep. 2005. (Pubitemid 41430980)
49. H. Nishimori, "Comment on "Statistical mechanics of CDMA multiuser demodulation" by Tanaka," Europhys. Lett., vol. 57, no. 2, pp. 302-303, Jan. 2002.
50. S. Verdú, Multiuser Detection. New York, NY, USA: Cambridge Univ. Press, 1998.
51. S. B. Korada and A. Montanari, "Applications of the Lindeberg principle in communications and statistical learning," IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2440-2450, Apr. 2011.
52. L. A. Pastur and M. V. Shcherbina, "Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model," J. Stat. Phys., vol. 62, no. 1/2, pp. 1-19, 1991.
53. D. N. C. Tse and P. Viswanath, Fundamentals of Wireless Communication. Cambridge, U.K.: Cambridge Univ. Press, 2005.
54. M. Vehkaperä, K. Takeuchi, R. R. Müller, and T. Tanaka, "How much training is needed for iterativemultiuser detection and decoding?," presented at the IEEE Global Communications Conf., Honolulu, USA, Nov. 2009.
55. K. Kitagawa and T. Tanaka, "Optimization of sequences in CDMA systems: A statistical-mechanics approach," Comput. Networks, vol. 54, pp. 917-924, 2010.
56. M. C. Gursoy, "On the capacity and energy efficiency of training-based transmissions over fading channels," IEEE Trans. Inf. Theory, vol. 55, no. 10, pp. 4543-4567, Oct. 2009.
57. K. Nakamura and T. Tanaka, "Microscopic analysis for decoupling principle of linear vector channel," in Proc. IEEE Int. Symp. Inf. Theory, Toronto, Canada, Jul. 2008, pp. 519-523.