메뉴 건너뛰기




Volumn 57, Issue 10, 2009, Pages 3787-3800

Generalized consistent estimation on low-rank Krylov subspaces of arbitrarily high dimension

Author keywords

Asymptotic analysis; Krylov methods; Random matrices; Sample covariance matrix; Stieltjes transform

Indexed keywords

ASYMPTOTIC REGIMES; CONSISTENT ESTIMATION; EIGEN MODES; EIGENSPACES; EIGENSPECTRUM; FUNDAMENTAL PROBLEM; HIGH DIMENSIONS; KRYLOV METHODS; KRYLOV SUBSPACE; MATRIX; NUMBER OF SAMPLES; NUMERICAL EVALUATIONS; OBSERVED SAMPLES; OPTIMAL SAMPLES; POWER FUNCTIONS; RANDOM MATRICES; RANDOM MATRIX THEORY; SAMPLE COVARIANCE MATRIX; SECOND ORDER STATISTICS; SENSOR ARRAY SIGNAL PROCESSING; SIGNAL PROCESSING APPLICATIONS; SIGNATURE VECTORS; SPECTRAL FUNCTION; STIELTJES TRANSFORM; STRUCTURED COVARIANCE; VECTOR VALUED;

EID: 68249161595     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2025094     Document Type: Article
Times cited : (10)

References (56)
  • 4
    • 0032202138 scopus 로고    scopus 로고
    • A multistage representation of the Wiener filter based on orthogonal projections
    • Nov
    • J. Goldstein, I. Reed, and L. Scharf, "A multistage representation of the Wiener filter based on orthogonal projections," IEEE Trans. Inf. Theory, vol. 44, pp. 2943-2959, Nov. 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , pp. 2943-2959
    • Goldstein, J.1    Reed, I.2    Scharf, L.3
  • 5
    • 0035396483 scopus 로고    scopus 로고
    • Performance of reduced-rank linear interference suppression
    • Jul
    • M. Honig and W. Xiao, "Performance of reduced-rank linear interference suppression," IEEE Trans. Inf. Theory, vol. 47, pp. 1938-1946, Jul. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , pp. 1938-1946
    • Honig, M.1    Xiao, W.2
  • 10
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press
    • G. Golub and C. V. Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
    • (1996) Matrix Computations
    • Golub, G.1    Loan, C.V.2
  • 11
    • 18844428889 scopus 로고    scopus 로고
    • Optimal multistage linear multiuser receivers
    • May
    • L. Trichard, J. Evans, and I. Collings, "Optimal multistage linear multiuser receivers," IEEE Trans. Wireless Commun., vol. 4, pp. 1092-1101, May 2005.
    • (2005) IEEE Trans. Wireless Commun , vol.4 , pp. 1092-1101
    • Trichard, L.1    Evans, J.2    Collings, I.3
  • 14
    • 0023996583 scopus 로고
    • An improved spatial smoothing technique for bearing estimation in a multipath environment
    • Apr
    • R. Williams, S. Prasad, A. Mahalanabis, and L. H. Sibul, "An improved spatial smoothing technique for bearing estimation in a multipath environment," IEEE Trans. Signal Process., vol. 36, pp. 425-432, Apr. 1988.
    • (1988) IEEE Trans. Signal Process , vol.36 , pp. 425-432
    • Williams, R.1    Prasad, S.2    Mahalanabis, A.3    Sibul, L.H.4
  • 15
    • 0024478789 scopus 로고
    • Forward-backward spatial smoothing techniques for coherent signal identification
    • Jan
    • S. Pillai and B. Kwon, "Forward-backward spatial smoothing techniques for coherent signal identification," IEEE Trans. Signal Process., vol. 37, pp. 8-15, Jan. 1989.
    • (1989) IEEE Trans. Signal Process , vol.37 , pp. 8-15
    • Pillai, S.1    Kwon, B.2
  • 18
    • 33947651033 scopus 로고    scopus 로고
    • Data dimension reduction using Krylov subspaces: Making adaptive beamformers robust to model order-determination
    • May
    • H. Ge, I. Kirsteins, and L. Scharf, "Data dimension reduction using Krylov subspaces: Making adaptive beamformers robust to model order-determination," in Proc. 31st IEEE Int. Conf. Acoust., Speech Signal Process., May 2006.
    • (2006) Proc. 31st IEEE Int. Conf. Acoust., Speech Signal Process
    • Ge, H.1    Kirsteins, I.2    Scharf, L.3
  • 19
    • 34347405745 scopus 로고    scopus 로고
    • Indirect dominant mode rejection: A solution to low sample support beamforming
    • Jul
    • E. Santos, M. Zoltowski, and M. Rangaswamy, "Indirect dominant mode rejection: A solution to low sample support beamforming," IEEE Trans. Signal Process., vol. 55, pp. 3283-3293, Jul. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , pp. 3283-3293
    • Santos, E.1    Zoltowski, M.2    Rangaswamy, M.3
  • 20
    • 0027682075 scopus 로고
    • Signal processing in adaptive arrays using power basis
    • V. Ermolaev and A. Flaksman, "Signal processing in adaptive arrays using power basis," Int. J. Electron., vol. 75, no. 4, pp. 753-765, 1993.
    • (1993) Int. J. Electron , vol.75 , Issue.4 , pp. 753-765
    • Ermolaev, V.1    Flaksman, A.2
  • 21
    • 0028496381 scopus 로고
    • Fast algorithm for minimum-norm direction-of-arrival estimation
    • Sep
    • V. Ermolaev and A. Gershman, "Fast algorithm for minimum-norm direction-of-arrival estimation," IEEE Trans. Signal Process., vol. 42, pp. 2389-2394, Sep. 1994.
    • (1994) IEEE Trans. Signal Process , vol.42 , pp. 2389-2394
    • Ermolaev, V.1    Gershman, A.2
  • 22
    • 0036962534 scopus 로고    scopus 로고
    • Reduced-rank adaptive filtering using Krylov subspace
    • S. Burykh and K. Abed-Meraim, "Reduced-rank adaptive filtering using Krylov subspace," EURASIP J. Appl. Signal Process., vol. 2002, no. 12, pp. 1387-1400, 2002.
    • (2002) EURASIP J. Appl. Signal Process , vol.2002 , Issue.12 , pp. 1387-1400
    • Burykh, S.1    Abed-Meraim, K.2
  • 23
    • 23744450508 scopus 로고    scopus 로고
    • Large system transient analysis of adaptive least squares filtering
    • Jul
    • W. Xiao and M. Honig, "Large system transient analysis of adaptive least squares filtering," IEEE Trans. Inf. Theory, vol. 51, pp. 2447-2474, Jul. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 2447-2474
    • Xiao, W.1    Honig, M.2
  • 24
    • 33947363690 scopus 로고    scopus 로고
    • Performance of reduced-rank equalization
    • Oct
    • M. Honig and Y. Sun, "Performance of reduced-rank equalization," IEEE Trans. Inf. Theory, vol. 52, pp. 4548-4562, Oct. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 4548-4562
    • Honig, M.1    Sun, Y.2
  • 25
    • 34249805100 scopus 로고    scopus 로고
    • Asymptotic analysis of chip level MMSE equalizers in the downlink of CDMA systems
    • Jun
    • B. Mouhouche, P. Loubaton, and W. Hachem, "Asymptotic analysis of chip level MMSE equalizers in the downlink of CDMA systems," IEEE Trans. Signal Process., vol. 55, pp. 3048-3060, Jun. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , pp. 3048-3060
    • Mouhouche, B.1    Loubaton, P.2    Hachem, W.3
  • 26
    • 34249281310 scopus 로고    scopus 로고
    • Low-cost approximate LMMSE equalizer based on Krylov subspace methods for HSDPA
    • May
    • C. Dumard, F. Kaltenberger, and K. Freudenthaler, "Low-cost approximate LMMSE equalizer based on Krylov subspace methods for HSDPA," IEEE Trans. Wireless Commun., vol. 55, pp. 1610-1614, May 2007.
    • (2007) IEEE Trans. Wireless Commun , vol.55 , pp. 1610-1614
    • Dumard, C.1    Kaltenberger, F.2    Freudenthaler, K.3
  • 27
    • 0036601599 scopus 로고    scopus 로고
    • Adaptive reduced-rank interference suppression based on the multistageWiener filter
    • Jun
    • M. Honig and J. Goldstein, "Adaptive reduced-rank interference suppression based on the multistageWiener filter," IEEE Trans. Commun., vol. 50, pp. 986-994, Jun. 2002.
    • (2002) IEEE Trans. Commun , vol.50 , pp. 986-994
    • Honig, M.1    Goldstein, J.2
  • 28
    • 84939157845 scopus 로고    scopus 로고
    • Asymptotic analysis of reduced rank Wiener filters
    • Mar
    • P. Loubaton and W. Hachem, "Asymptotic analysis of reduced rank Wiener filters," in Proc. Inf. Theory Workshop, Mar. 2003, pp. 328-331.
    • (2003) Proc. Inf. Theory Workshop , pp. 328-331
    • Loubaton, P.1    Hachem, W.2
  • 29
    • 2942694220 scopus 로고    scopus 로고
    • Design of reduced-rank MMSE multiuser detectors using random matrix methods
    • Jun
    • L. Li, A. Tulino, and S. Verdú, "Design of reduced-rank MMSE multiuser detectors using random matrix methods," IEEE Trans. Inf. Theory, vol. 50, pp. 986-1008, Jun. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , pp. 986-1008
    • Li, L.1    Tulino, A.2    Verdú, S.3
  • 30
    • 26444577488 scopus 로고    scopus 로고
    • A systematic approach to multistage detectors in multipath fading channels
    • Sep
    • L. Cottatellucci and R. Müller, "A systematic approach to multistage detectors in multipath fading channels," IEEE Trans. Inf. Theory, vol. 51, pp. 3146-3158, Sep. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 3146-3158
    • Cottatellucci, L.1    Müller, R.2
  • 31
    • 21344489269 scopus 로고
    • Fast estimation of principal eigenspace using Lanczos algorithm
    • Jul
    • G. Xu and T. Kailath, "Fast estimation of principal eigenspace using Lanczos algorithm," SIAM J. Matrix Anal. Appl., vol. 15, no. 3, pp. 974-994, Jul. 1994.
    • (1994) SIAM J. Matrix Anal. Appl , vol.15 , Issue.3 , pp. 974-994
    • Xu, G.1    Kailath, T.2
  • 32
    • 0034770603 scopus 로고    scopus 로고
    • Krylov subspace estimation
    • Oct
    • M. Schneider and A. Willsky, "Krylov subspace estimation," SIAM J. Scientif. Comput., vol. 22, no. 5, pp. 1840-1864, Oct. 2000.
    • (2000) SIAM J. Scientif. Comput , vol.22 , Issue.5 , pp. 1840-1864
    • Schneider, M.1    Willsky, A.2
  • 33
    • 0038266772 scopus 로고    scopus 로고
    • A Krylov subspace method for covariance approximation and simulation of random processes and fields
    • Oct
    • M. Schneider and A. Willsky, "A Krylov subspace method for covariance approximation and simulation of random processes and fields," Multidimension. Syst. Signal Process., vol. 14, no. 4, pp. 295-318, Oct. 2003.
    • (2003) Multidimension. Syst. Signal Process , vol.14 , Issue.4 , pp. 295-318
    • Schneider, M.1    Willsky, A.2
  • 34
    • 68249139939 scopus 로고    scopus 로고
    • Consistent reduced-rank LMMSE estimation with a limited number of samples per observation dimension
    • Aug
    • F. Rubio and X. Mestre, "Consistent reduced-rank LMMSE estimation with a limited number of samples per observation dimension," IEEE Trans. Signal Process., vol. 57, no. 8, pp. 2889-2902, Aug. 2009.
    • (2009) IEEE Trans. Signal Process , vol.57 , Issue.8 , pp. 2889-2902
    • Rubio, F.1    Mestre, X.2
  • 36
    • 0742303643 scopus 로고    scopus 로고
    • Blind multiuser detection: From MOE to subspace methods
    • Feb
    • Z. Xu, P. Liu, and X.Wang, "Blind multiuser detection: From MOE to subspace methods," IEEE Trans. Signal Process., vol. 52, pp. 510-524, Feb. 2004.
    • (2004) IEEE Trans. Signal Process , vol.52 , pp. 510-524
    • Xu, Z.1    Liu, P.2    Wang, X.3
  • 37
    • 0036821674 scopus 로고    scopus 로고
    • A new subspace identification algorithm for high-resolution DOA estimation
    • Oct
    • M. McCloud and L. Scharf, "A new subspace identification algorithm for high-resolution DOA estimation," IEEE Trans. Antennas Propag., vol. 50, pp. 1382-1390, Oct. 2002.
    • (2002) IEEE Trans. Antennas Propag , vol.50 , pp. 1382-1390
    • McCloud, M.1    Scharf, L.2
  • 38
    • 0036902196 scopus 로고    scopus 로고
    • Blind adaptation of zero forcing projections and oblique pseudo-inverses for subspace detection and estimation when interference dominates noise
    • Dec
    • L. Scharf and M. McCloud, "Blind adaptation of zero forcing projections and oblique pseudo-inverses for subspace detection and estimation when interference dominates noise," IEEE Trans. Signal Process., vol. 50, pp. 2938-2946, Dec. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , pp. 2938-2946
    • Scharf, L.1    McCloud, M.2
  • 42
    • 0001967458 scopus 로고
    • Some limit theorems for the eigenvalues of a sample covariance matrix
    • Mar
    • D. Jonsson, "Some limit theorems for the eigenvalues of a sample covariance matrix," J. Multivar. Anal., vol. 12, no. 1, pp. 1-38, Mar. 1982.
    • (1982) J. Multivar. Anal , vol.12 , Issue.1 , pp. 1-38
    • Jonsson, D.1
  • 43
    • 0001398639 scopus 로고
    • Spectral analysis of networks with random topologies
    • Mar
    • U. Grenander and J. Silverstein, "Spectral analysis of networks with random topologies," SIAM J. Appl. Math., vol. 32, no. 2, pp. 499-519, Mar. 1977.
    • (1977) SIAM J. Appl. Math , vol.32 , Issue.2 , pp. 499-519
    • Grenander, U.1    Silverstein, J.2
  • 44
    • 0002247902 scopus 로고
    • The strong limits of random matrix spectra for sample matrices of independent elements
    • K. Wachter, "The strong limits of random matrix spectra for sample matrices of independent elements," Ann. Probabil., vol. 6, no. 1, pp. 1-18, 1978.
    • (1978) Ann. Probabil , vol.6 , Issue.1 , pp. 1-18
    • Wachter, K.1
  • 45
    • 0042112495 scopus 로고
    • A limit theorem for the eigenvalues of product of two random matrices
    • Y. Yin and P. Krishnaiah, "A limit theorem for the eigenvalues of product of two random matrices," J. Multivar. Anal., vol. 13, pp. 489-507, 1984.
    • (1984) J. Multivar. Anal , vol.13 , pp. 489-507
    • Yin, Y.1    Krishnaiah, P.2
  • 46
    • 0003059603 scopus 로고
    • Limiting spectral distribution for a class of random matrices
    • Oct
    • Y. Yin, "Limiting spectral distribution for a class of random matrices," J. Multivar. Anal., vol. 20, no. 1, pp. 50-68, Oct. 1986.
    • (1986) J. Multivar. Anal , vol.20 , Issue.1 , pp. 50-68
    • Yin, Y.1
  • 47
    • 0038104108 scopus 로고    scopus 로고
    • Asymptotic eigenvalue moments for linear multiuser detection
    • Mar
    • L. Li, A. Tulino, and S. Verdú, "Asymptotic eigenvalue moments for linear multiuser detection," Commun. Inf. Syst., vol. 1, no. 3, pp. 273-304, Mar. 2001.
    • (2001) Commun. Inf. Syst , vol.1 , Issue.3 , pp. 273-304
    • Li, L.1    Tulino, A.2    Verdú, S.3
  • 51
    • 0004151494 scopus 로고
    • Cambridge, U.K, Cambridge Univ. Press
    • R. Horn and C. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 52
    • 0000602132 scopus 로고
    • On the empirical distribution of eigenvalues of a class of large dimensional random matrices
    • Feb
    • J. Silverstein and Z. Bai, "On the empirical distribution of eigenvalues of a class of large dimensional random matrices," J. Multivar. Anal., vol. 54, no. 2, pp. 175-192, Feb. 1995.
    • (1995) J. Multivar. Anal , vol.54 , Issue.2 , pp. 175-192
    • Silverstein, J.1    Bai, Z.2
  • 53
    • 0002627253 scopus 로고
    • Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices
    • Aug
    • J. Silverstein, "Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices," J. Multivar. Anal., vol. 55, pp. 331-339, Aug. 1995.
    • (1995) J. Multivar. Anal , vol.55 , pp. 331-339
    • Silverstein, J.1
  • 55
    • 33746423445 scopus 로고    scopus 로고
    • Characters of symmetric groups and free cumulants
    • A. Vershik, Ed. New York: Springer
    • P. Biane, "Characters of symmetric groups and free cumulants," in Asymptotic CombinatoricsWith Applications to Mathematical Physics, A. Vershik, Ed. New York: Springer, 2003, pp. 185-200.
    • (2003) Asymptotic CombinatoricsWith Applications to Mathematical Physics , pp. 185-200
    • Biane, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.