메뉴 건너뛰기




Volumn 52, Issue 8, 2006, Pages 3799-3809

Weak convergence and rate of convergence of MIMO capacity random variable

Author keywords

Canonical statistical model; Empirical eigenvalue distribution; Ergodic capacity; Multiple input multiple output (MIMO) capacity; Outage capacity; Random matrix theory; Scattering; Virtual representation

Indexed keywords

APPROXIMATION THEORY; BANDWIDTH; COMMUNICATION CHANNELS (INFORMATION THEORY); CORRELATION THEORY; DATA COMMUNICATION SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SIGNAL TO NOISE RATIO;

EID: 33746582869     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.878216     Document Type: Article
Times cited : (4)

References (44)
  • 1
    • 34547205783 scopus 로고    scopus 로고
    • "Capacity of multi-antenna Gaussian channels"
    • Í. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecommun., vol. 10, pp. 2172-2178, 2000.
    • (2000) Europ. Trans. Telecommun. , vol.10 , pp. 2172-2178
    • Telatar, Í.E.1
  • 2
    • 0032022195 scopus 로고    scopus 로고
    • "On limits of wireless communications in a fading environment when using multiple antennas"
    • Mar
    • G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Pers. Commun., vol. 6, no. 3, pp. 311-335, Mar. 1998.
    • (1998) Wireless Pers. Commun. , vol.6 , Issue.3 , pp. 311-335
    • Foschini, G.J.1    Gans, M.J.2
  • 3
    • 0033887179 scopus 로고    scopus 로고
    • "Fading correlation and its effect on the capacity of multi-element antenna systems"
    • Mar
    • D. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, "Fading correlation and its effect on the capacity of multi-element antenna systems," IEEE Trans. Commun., vol. 48, pp. 502-513, Mar. 2000.
    • (2000) IEEE Trans. Commun. , vol.48 , pp. 502-513
    • Shiu, D.1    Foschini, G.J.2    Gans, M.J.3    Kahn, J.M.4
  • 4
    • 0036495795 scopus 로고    scopus 로고
    • "Capacity scaling in MIMO wireless systems under correlated fading"
    • Mar
    • C.-N. Chuah, D. N. C. Tse, J. M. Kahn, and R. A. Valanzuela, "Capacity scaling in MIMO wireless systems under correlated fading," IEEE Trans. Inf. Theory, vol. 48, pp. 637-650, Mar. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , pp. 637-650
    • Chuah, C.-N.1    Tse, D.N.C.2    Kahn, J.M.3    Valanzuela, R.A.4
  • 5
    • 0242365580 scopus 로고    scopus 로고
    • "Capacity scaling and spectral efficiency in wideband correlated MIMO channels"
    • Oct
    • K. Liu, V. Raghavan, and A. M. Sayeed, "Capacity scaling and spectral efficiency in wideband correlated MIMO channels," IEEE Trans. Inf. Theory, ser. Special Issue on MIMO Systems, vol. 49, no. 10, pp. 2504-2526, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory, Ser. Special Issue on MIMO Systems , vol.49 , Issue.10 , pp. 2504-2526
    • Liu, K.1    Raghavan, V.2    Sayeed, A.M.3
  • 6
    • 77952978057 scopus 로고    scopus 로고
    • "Role of channel power in the sublinear capacity scaling of MIMO channels"
    • in Allerton, IL, Sep
    • V. Raghavan and A. M. Sayeed, "Role of channel power in the sublinear capacity scaling of MIMO channels," in Proc. Allerton Conf. Commun., Contr. Comput., Allerton, IL, Sep. 2004.
    • (2004) Proc. Allerton Conf. Commun., Contr. Comput.
    • Raghavan, V.1    Sayeed, A.M.2
  • 7
    • 16544362849 scopus 로고    scopus 로고
    • "Outage mutual information rate of space-time MIMO channels"
    • Apr
    • Z. Wang and G. B. Giannakis, "Outage mutual information rate of space-time MIMO channels," IEEE Trans. Inf. Theory, vol. 50, pp. 657-662, Apr. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , pp. 657-662
    • Wang, Z.1    Giannakis, G.B.2
  • 8
    • 0242365539 scopus 로고    scopus 로고
    • "Capacity of MIMO systems with semicorrelated flat fading"
    • Oct
    • P. Smith, S. Roy, and M. Shafi, "Capacity of MIMO systems with semicorrelated flat fading," IEEE Trans. Inf. Theory, vol. 49, pp. 2781-2788, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , pp. 2781-2788
    • Smith, P.1    Roy, S.2    Shafi, M.3
  • 9
    • 0037633728 scopus 로고    scopus 로고
    • "Impact of correlation on the capacity of MIMO channels"
    • in Anchorage, AK, May
    • M. Kang and M. S. Alouini, "Impact of correlation on the capacity of MIMO channels," in Proc. IEEE Int. Conf. Commun., Anchorage, AK, May 2003, pp. 2623-2627.
    • (2003) Proc. IEEE Int. Conf. Commun. , pp. 2623-2627
    • Kang, M.1    Alouini, M.S.2
  • 11
    • 0036354233 scopus 로고    scopus 로고
    • "Statistical analysis of capacity of MIMO frequency selective Rayleigh fading channels with arbitrary number of inputs and outputs"
    • in Lausanne, Switzerland
    • A. Scaglione, "Statistical analysis of capacity of MIMO frequency selective Rayleigh fading channels with arbitrary number of inputs and outputs," in Proc. IEEE ISIT 2002, Lausanne, Switzerland, 2002.
    • (2002) Proc. IEEE ISIT 2002
    • Scaglione, A.1
  • 12
    • 29144437785 scopus 로고    scopus 로고
    • "The asymptotic capacity of multiple antenna Rayleigh fading channels"
    • Dec
    • M. A. Kamath and B. L. Hughes, "The asymptotic capacity of multiple antenna Rayleigh fading channels," IEEE Trans. Inf. Theory, vol. 51, pp. 4325-4333, Dec. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 4325-4333
    • Kamath, M.A.1    Hughes, B.L.2
  • 13
    • 4544234593 scopus 로고    scopus 로고
    • "Multi-antenna channel hardening and its implications for rate feedback and scheduling"
    • Sep
    • B. M. Hochwald, T. L. Marzetta, and V. Tarokh, "Multi-antenna channel hardening and its implications for rate feedback and scheduling," IEEE Trans. Inf. Theory, vol. 50, pp. 1893-1909, Sep. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , pp. 1893-1909
    • Hochwald, B.M.1    Marzetta, T.L.2    Tarokh, V.3
  • 16
    • 84919781032 scopus 로고    scopus 로고
    • "Random matrices and wireless communications"
    • Jun
    • A. M. Tulino and S. Verdu, "Random matrices and wireless communications," Found. Trends Commun. Inf. Theory, vol. 1, no. 1, Jun. 2004.
    • (2004) Found. Trends Commun. Inf. Theory , vol.1 , Issue.1
    • Tulino, A.M.1    Verdu, S.2
  • 17
    • 33746583620 scopus 로고    scopus 로고
    • "Canonical statistical modeling and capacity analysis of correlated MIMO fading channels"
    • submitted for publication
    • J. H. Kotecha, V. Raghavan, and A. M. Sayeed, "Canonical statistical modeling and capacity analysis of correlated MIMO fading channels," IEEE Trans. Commun., submitted for publication.
    • IEEE Trans. Commun.
    • Kotecha, J.H.1    Raghavan, V.2    Sayeed, A.M.3
  • 18
    • 31144478933 scopus 로고    scopus 로고
    • "A stochastic MIMO channel model with joint correlation of both link ends"
    • Jan
    • W. Weichselberger, H. Ozcelik, M. Herdin, 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, Jan. 2006.
    • (2006) IEEE Trans. Wireless Commun. , vol.5 , Issue.1 , pp. 90-100
    • Weichselberger, W.1    Ozcelik, H.2    Herdin, M.3    Bonek, E.4
  • 19
    • 23744484217 scopus 로고    scopus 로고
    • "Impact of antenna correlation on the capacity of multiantenna channels"
    • Jul
    • A. M. Tulino, A. Lozano, and S. Verdu, "Impact of antenna correlation on the capacity of multiantenna channels," IEEE Trans. Inf. Theory, vol. 51, pp. 2491-2509, Jul. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 2491-2509
    • Tulino, A.M.1    Lozano, A.2    Verdu, S.3
  • 20
    • 0036794421 scopus 로고    scopus 로고
    • "Deconstructing multi-antenna fading channels"
    • Oct
    • A. M. Sayeed, "Deconstructing multi-antenna fading channels," IEEE Trans. Signal Process., vol. 50, pp. 2563-2579, Oct. 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , pp. 2563-2579
    • Sayeed, A.M.1
  • 21
    • 34249286103 scopus 로고    scopus 로고
    • "Experimental study of MIMO channel statistics and capacity via the virtual channel representation"
    • Mar. submitted for publication
    • Y. Zhou, M. Herdin, A. M. Sayeed, and E. Bonek, "Experimental study of MIMO channel statistics and capacity via the virtual channel representation," IEEE. Trans. Wireless Commun., Mar. 2006, submitted for publication.
    • (2006) IEEE. Trans. Wireless Commun.
    • Zhou, Y.1    Herdin, M.2    Sayeed, A.M.3    Bonek, E.4
  • 22
    • 0031272873 scopus 로고    scopus 로고
    • "Space-time processing for wireless communications"
    • Nov
    • A. J. Paulraj and C. B. Papadias, "Space-time processing for wireless communications," IEEE Signal Process. Mag., pp. 49-83, Nov. 1997.
    • (1997) IEEE Signal Process. Mag. , pp. 49-83
    • Paulraj, A.J.1    Papadias, C.B.2
  • 23
    • 0041377661 scopus 로고    scopus 로고
    • "Deficiencies of 'Kronecker' MIMO radio channel model"
    • Aug
    • H. Ozcelik, M. Herdin, W. Weichselberger, J. Wallace, and E. Bonek, "Deficiencies of 'Kronecker' MIMO radio channel model," Electron. Lett., vol. 39, no. 16, pp. 1209-1210, Aug. 2003.
    • (2003) Electron. Lett. , vol.39 , Issue.16 , pp. 1209-1210
    • Ozcelik, H.1    Herdin, M.2    Weichselberger, W.3    Wallace, J.4    Bonek, E.5
  • 24
    • 4143099284 scopus 로고    scopus 로고
    • "Power and complex envelope correlation for modeling measured indoor MIMO channels: A beamforming evaluation"
    • in Oct
    • J. Wallace, H. Ozcelik, M. Herdin, E. Bonek, and M. Jensen, "Power and complex envelope correlation for modeling measured indoor MIMO channels: A beamforming evaluation," in Proc. IEEE 58th Fall Veh. Technol. Conf., 2003, Oct. 2003, vol. 1, pp. 363-367.
    • (2003) Proc. IEEE 58th Fall Veh. Technol. Conf., 2003 , vol.1 , pp. 363-367
    • Wallace, J.1    Ozcelik, H.2    Herdin, M.3    Bonek, E.4    Jensen, M.5
  • 27
    • 0037767627 scopus 로고    scopus 로고
    • "Uniform power allocation in MIMO channels: A game-theoretic approach"
    • Jul
    • D. P. Palomar, J. M. Cioffi, and M. A. Lagunas, "Uniform power allocation in MIMO channels: A game-theoretic approach," IEEE Trans. Inf. Theory, vol. 49, pp. 1707-1727, Jul. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , pp. 1707-1727
    • Palomar, D.P.1    Cioffi, J.M.2    Lagunas, M.A.3
  • 28
    • 0034245965 scopus 로고    scopus 로고
    • "Information capacity of a random signature multiple-input multiple-output channel"
    • Aug
    • P. B. Rapajic and D. Popescu, "Information capacity of a random signature multiple-input multiple-output channel," IEEE Trans. Inf. Theory, vol. 48, pp. 1245-1248, Aug. 2000.
    • (2000) IEEE Trans. Inf. Theory , vol.48 , pp. 1245-1248
    • Rapajic, P.B.1    Popescu, D.2
  • 29
    • 0000602132 scopus 로고
    • "On the empirical distribution of eigenvalues of a class of large dimensional random matrices"
    • J. W. Silverstein and Z. D. Bai, "On the empirical distribution of eigenvalues of a class of large dimensional random matrices," J. Mult. Var. Anal., vol. 54, no. 2, pp. 175-192, 1995.
    • (1995) J. Mult. Var. Anal. , vol.54 , Issue.2 , pp. 175-192
    • Silverstein, J.W.1    Bai, Z.D.2
  • 30
    • 0040654711 scopus 로고
    • "A central limit theorem for random determinants"
    • V. L. Girko, "A central limit theorem for random determinants," Theory of Prob. and Math. Stat., vol. 21, pp. 35-39, 1979.
    • (1979) Theory of Prob. and Math. Stat. , vol.21 , pp. 35-39
    • Girko, V.L.1
  • 33
    • 0003981320 scopus 로고
    • 4th ed. Berlin, Germany: Springer-Verlag
    • M. Loeve, Probability Theory, 4th ed. Berlin, Germany: Springer-Verlag, 1977.
    • (1977) Probability Theory
    • Loeve, M.1
  • 34
    • 0347989448 scopus 로고    scopus 로고
    • "Methodologies in spectral analysis of large dimensional random matrices, A review"
    • Z. D. Bai, "Methodologies in spectral analysis of large dimensional random matrices, A review," Statistica Sinica, vol. 9, pp. 611-677, 1999.
    • (1999) Statistica Sinica , vol.9 , pp. 611-677
    • Bai, Z.D.1
  • 35
    • 0001136512 scopus 로고
    • "On limit of the largest eigenvalue of the large dimensional sample covariance matrix"
    • Y. Q. Yin, Z. D. Bai, and P. R. Krishnaiah, "On limit of the largest eigenvalue of the large dimensional sample covariance matrix," Prob. Th. Rel. Fields, vol. 78, pp. 509-521, 1988.
    • (1988) Prob. Th. Rel. Fields , vol.78 , pp. 509-521
    • Yin, Y.Q.1    Bai, Z.D.2    Krishnaiah, P.R.3
  • 36
    • 84983319269 scopus 로고    scopus 로고
    • "A note on the convergence rate of the spectral distributions of large random matrices"
    • Z. D. Bai, B. Miao, and J. Tsay, "A note on the convergence rate of the spectral distributions of large random matrices," Stat. Prob. Lett., vol. 34, pp.95-101, 1997.
    • (1997) Stat. Prob. Lett. , vol.34 , pp. 95-101
    • Bai, Z.D.1    Miao, B.2    Tsay, J.3
  • 37
    • 0009128834 scopus 로고
    • "Convergence rate of expected spectral distributions of large random matrices. Part I. Wigner matrices, Part II. Sample covariance matrices"
    • Apr
    • Z. D. Bai, "Convergence rate of expected spectral distributions of large random matrices. Part I. Wigner matrices, Part II. Sample covariance matrices," Ann. Prob., vol. 21, no. 2, pp. 625-672, Apr. 1993.
    • (1993) Ann. Prob. , vol.21 , Issue.2 , pp. 625-672
    • Bai, Z.D.1
  • 38
    • 33746595332 scopus 로고    scopus 로고
    • "Rate of convergence to the Marčenko-Pastur law"
    • F. Götze and A. N. Tikhomirov, "Rate of convergence to the Marčenko-Pastur law," Bernoulli, vol. 10, no. 3, pp. 503-548, 2004.
    • (2004) Bernoulli , vol.10 , Issue.3 , pp. 503-548
    • Götze, F.1    Tikhomirov, A.N.2
  • 40
    • 58149320175 scopus 로고
    • "Analysis of the limiting spectral distribution of large dimensional random matrices"
    • J. W. Silverstein and S.-I. Choi, "Analysis of the limiting spectral distribution of large dimensional random matrices," J. Mult. Var. Anal., vol. 54, pp. 295-309, 1995.
    • (1995) J. Mult. Var. Anal. , vol.54 , pp. 295-309
    • Silverstein, J.W.1    Choi, S.-I.2
  • 41
    • 23944451549 scopus 로고    scopus 로고
    • "A new method for bounding rates of convergence of empirical spectral distributions"
    • S. Chatterjee and A. Bose, "A new method for bounding rates of convergence of empirical spectral distributions," J. Theor. Prob., vol. 17, no. 4, pp. 1003-1019, 2004.
    • (2004) J. Theor. Prob. , vol.17 , Issue.4 , pp. 1003-1019
    • Chatterjee, S.1    Bose, A.2
  • 42
    • 33645661531 scopus 로고    scopus 로고
    • "On the spectral distribution of Gaussian random matrices"
    • Transl.:English Series to be published
    • B. Delyon and J.-F. Yao, "On the spectral distribution of Gaussian random matrices," Transl.:ENglish Series Acta Mathematicae Applicatae Sinica, 2006, to be published.
    • (2006) Acta Mathematicae Applicatae Sinica
    • Delyon, B.1    Yao, J.-F.2
  • 43
    • 18844471308 scopus 로고    scopus 로고
    • "Rate of convergence to the semicircle law for the Gaussian unitary ensemble"
    • F. Götze and A. N. Tikhomirov, "Rate of convergence to the semicircle law for the Gaussian unitary ensemble," Theory Prob. Appl., vol. 47, no. 2, pp. 323-330, 2003.
    • (2003) Theory Prob. Appl. , vol.47 , Issue.2 , pp. 323-330
    • Götze, F.1    Tikhomirov, A.N.2
  • 44
    • 2142823889 scopus 로고    scopus 로고
    • "CLT of linear spectral statistics of large dimensional sample covariance matrices"
    • J. W. Silverstein and Z. D. Bai, "CLT of linear spectral statistics of large dimensional sample covariance matrices," Ann. Prob., vol. 32, no. 1A, pp. 553-605, 2004.
    • (2004) Ann. Prob. , vol.32 , Issue.1 A , pp. 553-605
    • Silverstein, J.W.1    Bai, Z.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.