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Volumn 6, Issue 10, 2007, Pages 3607-3619

Joint and marginal eigenvalue distributions of (Non)central complex wishart matrices and PDF-based approach for characterizing the capacity statistics of MIMO ricean and rayleigh fading channels

(1)  Maaref, Amine a,b  

a IEEE   (Canada)

Author keywords

(Non) central wishart matrices; Capacity statistics; Joint marginal eigenvalue distributions; MIMO Ricean Rayleigh fading; Smallest largest unordered eigenvalues

Indexed keywords

CAPACITY STATISTICS; CENTRAL WISHART MATRICES; KURTOSIS; MARGINAL EIGENVALUE DISTRIBUTIONS; UNORDERED EIGENVALUES;

EID: 35448997685     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2007.06028     Document Type: Article
Times cited : (37)

References (35)
  • 1
    • 0004083131 scopus 로고    scopus 로고
    • Capacity of multi-antenna Gaussian channels
    • Nov./Dec
    • I. E. Telatar, "Capacity of multi-antenna Gaussian channels," European Trans. Telecommun. (ETT), vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.
    • (1999) European Trans. Telecommun. (ETT) , vol.10 , Issue.6 , pp. 585-595
    • Telatar, I.E.1
  • 2
    • 0032653083 scopus 로고    scopus 로고
    • On the capacity formula for multiple input-multiple output wireless channels: A geometric interpretation
    • Feb
    • P. F. Driessen and G. J. Foschini, "On the capacity formula for multiple input-multiple output wireless channels: a geometric interpretation," IEEE Trans. Commun., vol. 47, no. 2, pp. 173-176, Feb. 1999.
    • (1999) IEEE Trans. Commun , vol.47 , Issue.2 , pp. 173-176
    • Driessen, P.F.1    Foschini, G.J.2
  • 3
    • 18844426805 scopus 로고    scopus 로고
    • On the capacity of multiple antenna systems in Ricean fading
    • May
    • S. K. Jayaweera and H. V. Poor, "On the capacity of multiple antenna systems in Ricean fading," IEEE Trans. Wireless Commun., vol. 4, no. 3, pp. 1102-1111, May 2005.
    • (2005) IEEE Trans. Wireless Commun , vol.4 , Issue.3 , pp. 1102-1111
    • Jayaweera, S.K.1    Poor, H.V.2
  • 4
    • 31344457826 scopus 로고    scopus 로고
    • Capacity of MIMO Ricean channels
    • Jan
    • M. Kang and M.-S. Alouini, "Capacity of MIMO Ricean channels," IEEE Trans. Wireless Commun., vol. 5, no. 1, pp. 112-122, Jan. 2006.
    • (2006) IEEE Trans. Wireless Commun , vol.5 , Issue.1 , pp. 112-122
    • Kang, M.1    Alouini, M.-S.2
  • 5
    • 20144372133 scopus 로고    scopus 로고
    • Generic procedure for tightly bounding the capacity of MIMO correlated Rician fading channels
    • May
    • X. W. Cui, Q. T. Zhang, and Z. M. Feng, "Generic procedure for tightly bounding the capacity of MIMO correlated Rician fading channels," IEEE Trans. Commun., vol. 53, no. 5, pp. 890-898, May 2005.
    • (2005) IEEE Trans. Commun , vol.53 , Issue.5 , pp. 890-898
    • Cui, X.W.1    Zhang, Q.T.2    Feng, Z.M.3
  • 6
    • 26444468100 scopus 로고    scopus 로고
    • General capacity bounds for spatially correlated Ricean MIMO channels
    • Sept
    • M. R. McKay and I. B. Collings, "General capacity bounds for spatially correlated Ricean MIMO channels," IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3121-3145, Sept. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.9 , pp. 3121-3145
    • McKay, M.R.1    Collings, I.B.2
  • 7
    • 0141973880 scopus 로고    scopus 로고
    • On the log determinant of non-central Wishart matrices
    • Yokohama, Japan, June
    • Y. Kim and A. Lapidoth, "On the log determinant of non-central Wishart matrices," in Proc. IEEE Int. Symp. on Inform. Theory (ISTT 2004), Yokohama, Japan, June 2003, pp. 54-54.
    • (2003) Proc. IEEE Int. Symp. on Inform. Theory (ISTT 2004) , pp. 54-54
    • Kim, Y.1    Lapidoth, A.2
  • 8
    • 0742325046 scopus 로고    scopus 로고
    • Exact capacity distribution for dual MIMO systems in Ricean fading
    • Jan
    • P. J. Smith and L. M. Garth, "Exact capacity distribution for dual MIMO systems in Ricean fading," IEEE Commun. Lett., vol. 8, no. 1, pp. 18-20, Jan. 2004.
    • (2004) IEEE Commun. Lett , vol.8 , Issue.1 , pp. 18-20
    • Smith, P.J.1    Garth, L.M.2
  • 11
    • 0242365539 scopus 로고    scopus 로고
    • Capacity of MIMO systems with semicorrelated flat fading
    • Oct
    • 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.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2781-2788
    • Smith, P.J.1    Roy, S.2    Shafi, M.3
  • 13
    • 0242365588 scopus 로고    scopus 로고
    • On the capacity spatially correlated MIMO Rayleigh-fading channels
    • Oct
    • M. Chiani, M. Z. Win, and A. Zanella, "On the capacity spatially correlated MIMO Rayleigh-fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2363-2371, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2363-2371
    • Chiani, M.1    Win, M.Z.2    Zanella, A.3
  • 14
    • 16544362849 scopus 로고    scopus 로고
    • Outage mutual information of spacetime MIMO channels
    • Apr
    • Z. Wang and G. B. Giannakis, "Outage mutual information of spacetime MIMO channels," IEEE Trans. Inf. Theory, vol. 50, no. 4, pp. 657-662, Apr. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.4 , pp. 657-662
    • Wang, Z.1    Giannakis, G.B.2
  • 15
    • 33748597688 scopus 로고    scopus 로고
    • On the capacity of doubly correlated MIMO channels
    • Aug
    • H. Shin, M. Z. Win, J. H. Lee, and M. Chiani, "On the capacity of doubly correlated MIMO channels," IEEE Trans. Wireless Commun., vol. 5, no. 8, pp. 2253-2265, Aug. 2006.
    • (2006) IEEE Trans. Wireless Commun , vol.5 , Issue.8 , pp. 2253-2265
    • Shin, H.1    Win, M.Z.2    Lee, J.H.3    Chiani, M.4
  • 16
    • 13844276176 scopus 로고    scopus 로고
    • Unifying analysis of ergodic MIMO capacity in correlated Rayleigh fading environments
    • Jan
    • M. Kiessling, "Unifying analysis of ergodic MIMO capacity in correlated Rayleigh fading environments," Euro. Trans. Telecommun., vol. 16, pp. 17-35, Jan. 2005.
    • (2005) Euro. Trans. Telecommun , vol.16 , pp. 17-35
    • Kiessling, M.1
  • 17
    • 0242302506 scopus 로고    scopus 로고
    • Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering, and keyhole
    • Oct
    • H. Shin and J. H. Lee, "Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering, and keyhole," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2636-2647, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2636-2647
    • Shin, H.1    Lee, J.H.2
  • 18
    • 0038504013 scopus 로고    scopus 로고
    • Rayleigh fading multiple-antenna channels
    • Mar
    • A. Grant, "Rayleigh fading multiple-antenna channels," EURASlP J. Applied Signal Processing, vol. 2002, no. 3, pp. 316-329, Mar. 2002.
    • (2002) EURASlP J. Applied Signal Processing , vol.2002 , Issue.3 , pp. 316-329
    • Grant, A.1
  • 21
    • 0027634633 scopus 로고
    • Proper complex random processes with applications to information theory
    • July
    • R D. Neeser and J. L. Massey, "Proper complex random processes with applications to information theory," IEEE Trans. Inf. Theory, vol. 39, no. 4, pp. 1293-1302, July 1993.
    • (1993) IEEE Trans. Inf. Theory , vol.39 , Issue.4 , pp. 1293-1302
    • Neeser, R.D.1    Massey, J.L.2
  • 22
    • 0242365535 scopus 로고    scopus 로고
    • The pseudo-Wishart distribution, and its application, to MIMO systems
    • Oct
    • R. K. Mallik, "The pseudo-Wishart distribution, and its application, to MIMO systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2761-2769, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2761-2769
    • Mallik, R.K.1
  • 23
    • 0041594618 scopus 로고
    • Remarks on the multivariate Gamma distribution
    • Apr
    • P. R. Krishnaiah and M. M. Rao, "Remarks on the multivariate Gamma distribution," Amer. Math. Monthly, vol. 68, pp. 342-346, Apr. 1961.
    • (1961) Amer. Math. Monthly , vol.68 , pp. 342-346
    • Krishnaiah, P.R.1    Rao, M.M.2
  • 24
    • 0000952005 scopus 로고
    • Distributions of matrix variates and latent roots derived from normal samples
    • June
    • A. T. James, "Distributions of matrix variates and latent roots derived from normal samples," Ann. Math. Stat., vol. 35, no. 2, pp. 475-501, June 1964.
    • (1964) Ann. Math. Stat , vol.35 , Issue.2 , pp. 475-501
    • James, A.T.1
  • 26
    • 0000324960 scopus 로고
    • Eigenvalues and condition numbers of random, matrices
    • Oct
    • A. Edelman, "Eigenvalues and condition numbers of random, matrices," SIAM J. Matrix Anal, Appl., vol. 9, no. 4, pp. 543-560, Oct. 1988.
    • (1988) SIAM J. Matrix Anal, Appl , vol.9 , Issue.4 , pp. 543-560
    • Edelman, A.1
  • 27
    • 0006380124 scopus 로고
    • On the moments of traces of two matrices in three situations for complex multivariate normal populations
    • C. G. Khatri, "On the moments of traces of two matrices in three situations for complex multivariate normal populations," Sankhya, The Indian J. of Statist., Ser. A, vol. 32, pp. 65-80, 1970.
    • (1970) Sankhya, The Indian J. of Statist., Ser. A , vol.32 , pp. 65-80
    • Khatri, C.G.1
  • 28
    • 0001385789 scopus 로고
    • Total positivity, spherical series, and hypergeometric functions of matrix argument
    • K. I. Gross and D. S. P. Richards, "Total positivity, spherical series, and hypergeometric functions of matrix argument," J. Approx. Theory, vol. 59, pp. 224-246, 1989.
    • (1989) J. Approx. Theory , vol.59 , pp. 224-246
    • Gross, K.I.1    Richards, D.S.P.2
  • 29
    • 0032074954 scopus 로고    scopus 로고
    • Theoretical reliability of MMSE linear diversity combining in Rayleigh-fading additive interference channels
    • May
    • H. Gao, P. J. Smith, and M. V. Clark, "Theoretical reliability of MMSE linear diversity combining in Rayleigh-fading additive interference channels," IEEE Trans. Commun., vol. 46, no. 5, pp. 666-672, May 1998.
    • (1998) IEEE Trans. Commun , vol.46 , Issue.5 , pp. 666-672
    • Gao, H.1    Smith, P.J.2    Clark, M.V.3
  • 30
    • 0038681919 scopus 로고    scopus 로고
    • Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems
    • Apr
    • M. Kang and M.-S. Alouini, "Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 418-426, Apr. 2003.
    • (2003) IEEE J. Sel. Areas Commun , vol.21 , Issue.3 , pp. 418-426
    • Kang, M.1    Alouini, M.-S.2
  • 32
    • 0036864480 scopus 로고    scopus 로고
    • The Nuttall Q function-Its relation to the Marcum Q function and its application in digital communication performance evaluation
    • Nov
    • M. K. Simon, "The Nuttall Q function-Its relation to the Marcum Q function and its application in digital communication performance evaluation," IEEE Trans. Commun., vol. 50, no. 11, pp. 1712-1715, Nov. 2002.
    • (2002) IEEE Trans. Commun , vol.50 , Issue.11 , pp. 1712-1715
    • Simon, M.K.1
  • 33
    • 11744280037 scopus 로고    scopus 로고
    • Fast algorithms for genrating integer partitions
    • A. Zoghbi and I. Stojmenovic, "Fast algorithms for genrating integer partitions," Intern. J. Computer. Math., vol. 70, pp. 319-332, 1998.
    • (1998) Intern. J. Computer. Math , vol.70 , pp. 319-332
    • Zoghbi, A.1    Stojmenovic, I.2
  • 34
    • 0036282014 scopus 로고    scopus 로고
    • On a Gaussian approximation to the capacity of wireless MIMO systems
    • New York, USA, Apr
    • P. J. Smith and M. Shaft, "On a Gaussian approximation to the capacity of wireless MIMO systems," in Proc. IEEE Int. Conf. on Commun. (ICC02), New York, USA, Apr. 2002, pp. 406-410.
    • (2002) Proc. IEEE Int. Conf. on Commun. (ICC02) , pp. 406-410
    • Smith, P.J.1    Shaft, M.2
  • 35
    • 0038524195 scopus 로고
    • Non-central distributions of the ith largest characteristic roots of diree matrices concerning complex multivariate normal populations
    • C. G. Khatri, "Non-central distributions of the ith largest characteristic roots of diree matrices concerning complex multivariate normal populations," Ann. Inst. Statist. Math., vol. 21, pp. 23-32, 1969.
    • (1969) Ann. Inst. Statist. Math , vol.21 , pp. 23-32
    • Khatri, C.G.1


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