Reduced complexity power allocation strategies for MIMO systems with singular value decomposition

IEEE Transactions on Vehicular Technology

Volumn 61, Issue 9, 2012, Pages 4031-4041

  Zanella, Alberto ^a   Chiani, Marco ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Multiple input multiple output (MIMO) systems; power allocation; singular value decomposition (SVD); Wishart matrices

Indexed keywords

CHANNEL MATRIX COEFFICIENTS; CHANNEL STATE; EIGEN MODES; EIGENVALUES; EXACT DISTRIBUTION; FADING ENVIRONMENT; FREQUENCY-FLAT FADING; INSTANTANEOUS VALUE; LARGEST EIGENVALUES; LINEAR PRE-CODING; LOW-COMPLEXITY; MULTIPLE-INPUT-MULTIPLE-OUTPUT SYSTEMS; OPTIMAL SOLUTIONS; POWER ALLOCATION STRATEGIES; POWER ALLOCATIONS; REDUCED COMPLEXITY; STATISTICAL KNOWLEDGE; TRANSMITTER AND RECEIVER; WATER FILLING; WISHART MATRICES;

EIGENVALUES AND EIGENFUNCTIONS; MIMO SYSTEMS; PROBABILITY DENSITY FUNCTION; TELECOMMUNICATION REPEATERS;

SINGULAR VALUE DECOMPOSITION;

EID: 84869475738     PISSN: 00189545     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVT.2012.2210575     Document Type: Article

References (40)

1. J. H. Winters, "On the capacity of radio communication systems with diversity in Rayleigh fading environment," IEEE J. Sel. Areas Commun., vol. SAC-5, no. 5, pp. 871-878, Jun. 1987.
2. G. J. Foschini, "Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas," Bell Labs Tech. J., vol. 1, no. 2, pp. 41-59, Autumn 1996.
3. G. G. Raleigh and J. M. Cioffi, "Spatio-temporal coding for wireless communication," IEEE Trans. Commun., vol. 46, no. 3, pp. 357-366, Mar. 1998.
4. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.
5. M. Chiani, M. Z. Win, and A. Zanella, "On the capacity of spatially correlated MIMO Rayleigh fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2363-2371, Oct. 2003.
6. P. J. Smith, S. Roy, and M. Shafi, "Capacity of MIMO systems with semicorrelated flat fading," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2781-2788, Oct. 2003.
7. H. Shin, M. Win, J. H. Lee, and M. Chiani, "On the capacity of doubly correlated MIMO channels," IEEE Trans.Wireless Commun., vol. 5, no. 8, pp. 2253-2266, Aug. 2006.
8. A. Zanella, M. Chiani, and M. Z. Win, "MMSE reception and successive interference cancellation for MIMO systems with high spectral efficiency," IEEE Trans. Wireless Commun., vol. 4, no. 3, pp. 1244-1253, May 2005.
9. S. K. Jayaweera and H. V. Poor, "Capacity of multiple-antenna systems with both receiver and transmitter channel state information," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2697-2709, Oct. 2003.
10. A. Maaref and S. Aissa, "Capacity of MIMO Rician fading channels with transmitter and receiver channel state information," IEEE Trans. Wireless Commun., vol. 7, no. 5, pp. 1687-1698, May 2008.
11. L. M. Garth, P. J. Smith, and M. Shafi, "Exact symbol error probabilities for SVD transmission of BPSK data over fading channels," in Proc. IEEE Int. Conf. Commun., May 2005, pp. 2271-2276.
12. L. G. Ordonez, D. P. Palomar, A. P. Zamora, and J. R. Fonollosa, "Analytical BER performance in spatial multiplexing MIMO systems," in Proc. IEEE Workshop SPAWC, Jun. 2005, pp. 460-464.
13. S. Jin, X. Gao, and M. McKay, "Ordered eigenvalues of complex noncentral Wishart matrices and performance analysis of SVD MIMO systems," in Proc. IEEE Int. Symp. Inf. Theory, Seattle, WA, Jul. 2006, pp. 1564-1568.
14. Z. Zhou, B. Vucetic, M. Dohler, and Y. Li, "MIMO systems with adaptive modulation," IEEE Trans. Veh. Technol., vol. 54, no. 5, pp. 1828-1842, Sep. 2005.
15. E. Biglieri, G. Caire, and G. Taricco, "Limiting performance of blockfading channels with multiple antennas," IEEE Trans. Inf. Theory, vol. 47, no. 4, pp. 1273-1289, Apr. 2001.
16. J. H. Sung and J. R. Barry, "Approaching the zero-outage capacity of MIMO-OFDM without instantaneous water-filling," IEEE Trans. Inf. Theory, vol. 54, no. 4, pp. 1423-1436, Apr. 2008.
17. W. Liu, L. Yang, and L. Hanzo, "SVD-assisted multiuser transmitter and multiuser detector design for MIMO systems," IEEE Trans. Veh. Technol., vol. 58, no. 2, pp. 1016-1021, Feb. 2009.
18. R. A. Fisher, "Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population," Biometrika, vol. 10, no. 4, pp. 507-521, May 1915.
19. A. T. James, "Distributions of matrix variates and latent roots derived from normal samples," Ann. Math. Stat., vol. 35, no. 2, pp. 475-501, 1964.
20. C. G. Khatri, "Distribution of the largest or the smallest characteristic root under null hyphotesis concerning complex multivariate normal populations," Ann. Math. Stat., vol. 35, no. 4, pp. 1807-1810, Dec. 1964.
21. C. G. Khatri, "Non-central distribution of i-th largest characteristic roots of three matrices concerning complex multivariate multivariate normal populations," J. Inst. Ann. Stat. Math., vol. 21, no. 1, pp. 23-32, Dec. 1969.
22. A. Goldsmith, Wireless Communications. Cambridge, U.K.: Cambridge Univ. Press, 2005.
23. D. Tse and P. Viswanath, Fundamentals of Wireless Communications. New York: Cambridge Univ. Press, 2005.
24. T. A. Cover and J. A. Thomas, Elements of Information Theory, 1st ed. New York: Wiley, 1991.
25. A. Grant, "Capacity of ergodicMIMO channels with complete transmitter channel knowledge," in Proc. 6th Australian Commun. Theory Workshop, Feb. 2005, pp. 125-129.
26. A. Zanella and M. Chiani, "Analytical comparison of power allocation methods in MIMO systems with singular value decomposition," in Proc. IEEE Global Telecommun. Conf., Honululu, HI, Nov. 2009, pp. 1-7.
27. P. Dighe, R.Mallik, and S. Jamuar, "Analysis of transmit-receive diversity in Rayleigh fading," IEEE Trans. Commun., vol. 51, no. 4, pp. 694-703, Apr. 2003.
28. A. Maaref and S. Aissa, "Closed-form expressions for the outage and ergodic Shannon capacity of MIMO MRC systems," IEEE Trans. Commun., vol. 53, no. 7, pp. 1092-1095, Jul. 2005.
29. M. McKay, I. Collings, and P. Smith, "Capacity and SER analysis of MIMO beamforming with MRC," in Proc. IEEE Int. Conf. Commun., Istanbul, Turkey, Jun. 2006, vol. 3, pp. 1326-1330.
30. M. Chiani and A. Zanella, "Joint distribution of an arbitrary subset of the ordered eigenvalues of Wishart matrices," in Proc. IEEE Int. Symp. Pers., Indoor Mobile Radio Commun., Cannes, France, Sep. 2008, pp. 1-6.
31. A. Zanella, M. Chiani, andM. Z.Win, "On the marginal distribution of the Eigenvalues of Wishart matrices," IEEE Trans. Commun., vol. 57, no. 4, pp. 1050-1060, Apr. 2009.
32. L. Ordoez, D. Palomar, and J. Fonollosa, "Ordered eigenvalues of a general class of Hermitian random matrices with application to the performance analysis of MIMO systems," IEEE Trans. Signal Process., vol. 57, no. 2, pp. 672-689, Feb. 2009.
33. R. Kwan, C. Leung, and P. Ho, "Distribution of ordered eigenvalues of Wishart matrices," Electron. Lett., vol. 43, no. 5, pp. 31-32, Mar. 2007.
34. S. Jin, M. McKay, X. Gao, and I. Collings, "MIMO multichannel beamforming: SER and outage using new eigenvalue distributions of complex noncentral Wishart matrices," IEEE Trans. Commun., vol. 56, no. 3, pp. 424-434, Mar. 2008.
35. A. Zanella and M. Chiani, "The distribution of the ?-th largest eigenvalue of centralWishart matrices and its application to the performance analysis of MIMO systems," in Proc. IEEE Global Telecomm. Conf., New Orleans, LA, Dec. 2008, pp. 201-206.
36. M. Chiani, M. Z. Win, and H. Shin, "MIMO networks: The effects of interference," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 336-349, Jan. 2010.
37. H. David and H. Nagaraja, Order Statistics, 3rd ed. Hoboken, NJ: Wiley, 2003.
38. G. McLachlan and D. Peel, Finite Mixture Models. New York: Wiley, Sep. 2000.
39. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic, 1994.
40. M. S. Alouini and A. Goldsmith, "Capacity of Rayleigh fading channels under different adaptive transmission and diversity techniques," IEEE Trans. Veh. Technol., vol. 48, no. 4, pp. 1165-1181, Jul. 1999.