A free deterministic equivalent for the capacity of MIMO MAC with distributed antenna sets

IEEE International Conference on Communications

Volumn 2015-September, Issue , 2015, Pages 1751-1756

  Lu, An An ^a   Gao, Xiqi ^a   Xiao, Chengshan ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b Missouri University of Science and Technology   (United States)

Author keywords

deterministic equivalent; MAC; MIMO; Operator valued free probability

Indexed keywords

EID: 84953737360     PISSN: 15503607     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICC.2015.7248578     Document Type: Conference Paper

References (25)

1. F. Rusek, D. Persson, B. Lau, E. Larsson, T. Marzetta, O. Edfors, and F. Tufvesson, "Scaling up MIMO: opportunities and challenges with very large arrays," IEEE Signal Process. Mag., vol. 30, pp. 40-60, 2013.
2. R. Couillet, M. Debbah, and J. W. Silverstein, "A deterministic equivalent for the analysis of correlated MIMO multiple access channels," IEEE Trans. Inf. Theory, vol. 57, no. 6, pp. 3493-3514, 2011.
3. J. Zhang, C.-K. Wen, S. Jin, X. Gao, and K.-K. Wong, "On capacity of large-scale MIMO multiple access channels with distributed sets of correlated antennas," IEEE J. Sel. Areas Commun., vol. 31, no. 2, pp. 133-148, 2013.
4. C.-K. Wen, S. Jin, and K.-K. Wong, "On the sum-rate of multiuser MIMO uplink channels with jointly-correlated Rician fading," IEEE Trans. Commun., vol. 59, no. 10, pp. 2883-2895, 2011.
5. R. R. Far, T. Oraby, W. Bryc, and R. Speicher, "On slow-fading MIMO systems with nonseparable correlation," IEEE Trans. Inf. Theory, vol. 54, no. 2, pp. 544-553, 2008.
6. R. Couillet and M. Debbah, Random matrix methods for wireless communications. Cambridge University Press, 2011.
7. A. Nica and R. Speicher, Lectures on the combinatorics of free probability. Cambridge University Press, 2006.
8. O. Ryan and M. Debbah, "Channel capacity estimation using free-probability theory," IEEE Trans. Signal Process., vol. 56, no. 11, pp. 5654-5667, 2008.
9. W. Hachem, "Simple polynomial detectors for CDMA downlink transmissions on frequency-selective channels," IEEE Trans. Inf. Theory, vol. 50, no. 1, pp. 164-171, 2004.
10. R. Speicher, "Combinatorial theory of the free product with amalgamation and operator-valued free probability theory," Mem. Amer. Math. Soc., vol. 132, no. 627, 1998.
11. P. Pan, Y. Zhang, X. Ju, and L.-L. Yang, "Capacity of generalised network multiple-input-multiple-output systems with multicell cooperation," IET Commun., vol. 7, no. 17, pp. 1925-1937, 2013.
12. P. Pan, Y. Zhang, Y. Sun, and L.-L. Yang, "On the asymptotic spectral efficiency of uplink MIMO-CDMA systems over Rayleigh fading channels with arbitrary spatial correlation," IEEE Trans. Veh. Technol., vol. 62, no. 2, pp. 679-691, 2013.
13. R. Muller and B. Cakmak, "Channel modelling of MU-MIMO systems by quaternionic free probability," in Proc. IEEE ISIT'12, Boston, MA, Jul 2012, pp. 2656-2660.
14. A. Nica, R. Speicher, A. Tulino, and D. Voiculescu, "Free probability, extensions, and applications," in Proc. BIRS'08, Banff, Canada, 2008, pp. 3-10.
15. R. Speicher and C. Vargas, "Free deterministic equivalents, rectangular random matrix models, and operator-valued free probability theory," Random Matrices Theory Appl., vol. 1, no. 2, 2012.
16. J. Hoydis, R. Couillet, and M. Debbah, "Deterministic equivalents for the performance analysis of isometric random precoded systems," in Proc. ICC'11, Kyoto, Jun 2010, pp. 1-5.
17. X. Gao, B. Jiang, X. Li, A. B. Gershman, and M. R. McKay, "Statistical eigenmode transmission over jointly correlated MIMO channels," IEEE Trans. Inf. Theory, vol. 55, no. 8, pp. 3735-3750, 2009.
18. W. Weichselberger, M. Herdin, H. Ozcelik, and E. Bonek, "A stochastic MIMO channel model with joint correlation of both link ends," IEEE Trans. Wireless Commun., vol. 5, no. 1, pp. 90-100, 2006.
19. 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. 684-702, 2003.
20. Speicher, "What is operator-valued free probability and why should engineers care about it," in Workshop on Random Matrix Theory and Wireless Communication, Boulder, Colorado, July 2008.
21. F. Benaych-Georges, "Rectangular random matrices, related convolution," Probab. Theory Related Fields, vol. 144, no. 3-4, pp. 471-515, 2009.
22. W. Hachem, P. Loubaton, J. Najim et al., "Deterministic equivalents for certain functionals of large random matrices," Ann. Appl. Probab., vol. 17, no. 3, pp. 875-930, 2007.
23. J. Meinilä, P. Kyösti, T. Jämsä, and L. Hentilä, "WINNER II channel models," Radio Technologies and Concepts for IMT-Advanced, pp. 39-92, 2009.
24. E. Bonek, "Experimental validation of analytical MIMO channel models," e&i Elektrotechnik und Informationstechnik, vol. 122, no. 6, pp. 196-205, 2005.
25. L. Hentilä, P. Kyösti, M. Käske, M. Narandzic, and M. Alatossava, "MATLAB implementation of the WINNER Phase II channel model ver1.1," 2007. [Online]. Available: https://www.ist-winner.org/phase2model.html