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Volumn 41, Issue 9, 1993, Pages 2891-2906

Robust Estimation of Structured Covariance Matrices

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; PROBABILITY; ROBUSTNESS (CONTROL SYSTEMS); STATISTICAL METHODS;

EID: 0027667025     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.236511     Document Type: Article
Times cited : (43)

References (40)
  • 1
    • 84935072578 scopus 로고
    • On the central limit theorem in the space Rk, k > 1
    • H. Bergström, “On the central limit theorem in the space Rk, k > 1,” Scandinavian Actuarial J., vol. 28, pp. 106-127, 1945.
    • (1945) Scandinavian Actuarial J. , vol.28 , pp. 106-127
    • Bergström, H.1
  • 2
    • 84945595488 scopus 로고
    • On the central limit theorem in the case of not equally distributed random variables
    • H. Bergström, “On the central limit theorem in the case of not equally distributed random variables,” Scandinavian Actuarial J., vol. 33, pp. 37-62, 1949.
    • (1949) Scandinavian Actuarial J. , vol.33 , pp. 37-62
    • Bergström, H.1
  • 4
    • 0022887497 scopus 로고
    • Separated estimation of wave parameters and spectral parameters by maximum likelihood
    • Tokyo, Japan
    • J. F. Böhme, “Separated estimation of wave parameters and spectral parameters by maximum likelihood,” in Proc. Int. Conf. Acoust., Speech, Signal Processing, Tokyo, Japan, 1986, pp. 2819-2822.
    • (1986) Proc. Int. Conf. Acoust., Speech, Signal Processing , pp. 2819-2822
    • Böhme, J.F.1
  • 5
    • 84967856137 scopus 로고
    • Underwater noises: Statistical modeling, detection, and normalization
    • M. Bouvet and S. C. Schwartz, “Underwater noises: Statistical modeling, detection, and normalization,” J. Acoust. Soc. Amer., vol. 83, no. 3, pp. 1023-1033, 1988.
    • (1988) J. Acoust. Soc. Amer. , vol.83 , Issue.3 , pp. 1023-1033
    • Bouvet, M.1    Schwartz, S.C.2
  • 6
    • 0024130808 scopus 로고
    • Maximum likelihood estimation of a linearly structured covariance with application to antenna array processing
    • Minneapolis, MN
    • Y. Bresler, “Maximum likelihood estimation of a linearly structured covariance with application to antenna array processing,” in Proc. Fourth ASSP Workshop Spectrum Estim. Modeling, Minneapolis, MN, 1988, pp. 172-175.
    • (1988) Proc. Fourth ASSP Workshop Spectrum Estim. Modeling , pp. 172-175
    • Bresler, Y.1
  • 7
    • 0022796219 scopus 로고
    • Exact maximum likelihood parameter estimation of superimposed exponential signals in noise
    • Oct.
    • Y. Bresler and A. Macovski, “Exact maximum likelihood parameter estimation of superimposed exponential signals in noise,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 1081-1089, Oct. 1986.
    • (1986) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-34 , pp. 1081-1089
    • Bresler, Y.1    Macovski, A.2
  • 8
    • 0020183044 scopus 로고
    • Estimation of structured covariance matrices
    • Sept.
    • J. P. Burg, D. G. Luenberger, and D. L. Wenger, “Estimation of structured covariance matrices,” Proc. IEEE, vol. 70, pp. 963-974, Sept. 1982.
    • (1982) Proc. IEEE , vol.70 , pp. 963-974
    • Burg, J.P.1    Luenberger, D.G.2    Wenger, D.L.3
  • 9
    • 0023827797 scopus 로고
    • Signal enhancement-a composite property mapping algorithm
    • Jan.
    • J. A. Cadzow, “Signal enhancement-a composite property mapping algorithm,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 49-62, Jan. 1988.
    • (1988) IEEE Trans. Acoust., Speech, Signal Processing , vol.36 , pp. 49-62
    • Cadzow, J.A.1
  • 10
    • 84986791329 scopus 로고
    • Maximum likelihood estimation of autocovariance matrices from replicated short time series
    • S. Degerine, “Maximum likelihood estimation of autocovariance matrices from replicated short time series,” J. Time Series Anal., vol. 8, no. 2, 1987.
    • (1987) J. Time Series Anal. , vol.8 , Issue.2
    • Degerine, S.1
  • 11
    • 0022205587 scopus 로고
    • Capability of array processing algorithms to estimate source bearings
    • Dec.
    • S. R. DeGraaf and D. H. Johnson, “Capability of array processing algorithms to estimate source bearings,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 1368-1379, Dec. 1985.
    • (1985) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-33 , pp. 1368-1379
    • DeGraaf, S.R.1    Johnson, D.H.2
  • 12
    • 84950884569 scopus 로고
    • Robust estimation of dispersion matrices and principal components
    • June
    • S. J. Devlin, R. Gnanadesikan, and J. R. Kettenring, “Robust estimation of dispersion matrices and principal components,” J. Amer. Stat. Assoc, vol. 76, pp. 354-362, June 1981.
    • (1981) J. Amer. Stat. Assoc , vol.76 , pp. 354-362
    • Devlin, S.J.1    Gnanadesikan, R.2    Kettenring, J.R.3
  • 13
    • 77957865740 scopus 로고
    • Arctic ambient noise statistical measurement results and their implications to sonar performance improvements
    • Centre, La Spezia, Italy, May
    • R. Dwyer, “Arctic ambient noise statistical measurement results and their implications to sonar performance improvements,” in Proc. Conf. Undersea Ambient Noise, SACLANT ASW Res, Centre, La Spezia, Italy, May 1982, pp. 11-14.
    • (1982) Proc. Conf. Undersea Ambient Noise, SACLANT ASW Res , pp. 11-14
    • Dwyer, R.1
  • 14
    • 0024035344 scopus 로고
    • On the existence of positive-definite maximum-likelihood estimates of structured covariance matrices
    • July
    • D. R. Fuhrmann and M. I. Miller, “On the existence of positive-definite maximum-likelihood estimates of structured covariance matrices,” IEEE Trans. Inform. Theory, vol. 34, pp. 722-729, July 1988.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 722-729
    • Fuhrmann, D.R.1    Miller, M.I.2
  • 15
    • 0001013602 scopus 로고
    • Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction)
    • Mar.
    • N. R. Goodman, “Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction),” Ann. Math. Stat., vol. 34, pp. 152-177, Mar. 1963.
    • (1963) Ann. Math. Stat. , vol.34 , pp. 152-177
    • Goodman, N.R.1
  • 16
    • 0014779857 scopus 로고
    • Detection performance of some nonparametric rank tests and an application to radar
    • May
    • V. H. Hansen, “Detection performance of some nonparametric rank tests and an application to radar,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 309-318, May 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-16 , pp. 309-318
    • Hansen, V.H.1
  • 17
    • 0003171885 scopus 로고
    • Robust covariances
    • S. S. Gupta and D. S. Moore, Eds. New York: Academic
    • P. J. Huber, “Robust covariances,” in Statistical Decision Theory and Related Topics II, S. S. Gupta and D. S. Moore, Eds. New York: Academic, 1976, pp. 165-191.
    • (1976) Statistical Decision Theory and Related Topics II , pp. 165-191
    • Huber, P.J.1
  • 19
    • 0007628492 scopus 로고
    • The IMSL Library Contents Document, IMSL, Inc., Houston, TX, eighth ed.
    • International Mathematical and Statistical Libraries, The IMSL Library Contents Document, IMSL, Inc., Houston, TX, eighth ed., 1980.
    • (1980) International Mathematical and Statistical Libraries
  • 20
    • 0020183160 scopus 로고
    • The application of spectral estimation methods to bearing estimation problems
    • Sept.
    • D. H. Johnson, “The application of spectral estimation methods to bearing estimation problems,” Proc. IEEE, vol. 70, pp. 1018-1028, Sept. 1982.
    • (1982) Proc. IEEE , vol.70 , pp. 1018-1028
    • Johnson, D.H.1
  • 21
    • 0020165865 scopus 로고
    • Improving the resolution of bearing in passive sonar arrays by eigenvalue analysis
    • Aug.
    • D. H. Johnson and S. R. DeGraaf, “Improving the resolution of bearing in passive sonar arrays by eigenvalue analysis,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 638-647, Aug. 1982.
    • (1982) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-30 , pp. 638-647
    • Johnson, D.H.1    DeGraaf, S.R.2
  • 22
    • 0023826779 scopus 로고
    • Maximum likelihood estimation of the parameters of a plane wave tone at an equispaced linear array
    • Jan.
    • R. J. Kenefic, “Maximum likelihood estimation of the parameters of a plane wave tone at an equispaced linear array,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 128-130, Jan. 1988.
    • (1988) IEEE Trans. Acoust., Speech, Signal Processing , vol.36 , pp. 128-130
    • Kenefic, R.J.1
  • 23
    • 84939359086 scopus 로고
    • Stable (robust) detection methods for signal against a noise background (survey)
    • May
    • V. M. Krasnenker, “Stable (robust) detection methods for signal against a noise background (survey),” Automation Remote Contr., vol. 41, pp. 640-659, May 1980.
    • (1980) Automation Remote Contr. , vol.41 , pp. 640-659
    • Krasnenker, V.M.1
  • 24
    • 84942393540 scopus 로고
    • Robust maximum likelihood bearing estimation in contaminated Gaussian noise
    • Oct.
    • D. D. Lee and R. L. Kashyap, “Robust maximum likelihood bearing estimation in contaminated Gaussian noise,” in Proc. Fifth ASSP Workshop Spectrum Estimation Modeling, Oct. 1990, pp. 104-108.
    • (1990) Proc. Fifth ASSP Workshop Spectrum Estimation Modeling , pp. 104-108
    • Lee, D.D.1    Kashyap, R.L.2
  • 26
    • 0025430525 scopus 로고
    • The effect of spatial averaging on spatial correlation matrices in the presence of coherent signals
    • May
    • D. A. Linebarger and D. H. Johnson, “The effect of spatial averaging on spatial correlation matrices in the presence of coherent signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 880-884, May 1990.
    • (1990) IEEE Trans. Acoust., Speech, Signal Processing , vol.38 , pp. 880-884
    • Linebarger, D.A.1    Johnson, D.H.2
  • 27
    • 0002479905 scopus 로고
    • Statistical characteristics of ocean acoustic noise processes
    • E. J. Wegman, J. B. Thomas, and S. C. Schwartz, Eds. New York: Springer-Verlag
    • F. W. Machell, C. S. Penrod, and G. E. Ellis, “Statistical characteristics of ocean acoustic noise processes,” in Topics in Non-Gaussian Signal Processing, E. J. Wegman, J. B. Thomas, and S. C. Schwartz, Eds. New York: Springer-Verlag, 1989.
    • (1989) Topics in Non-Gaussian Signal Processing
    • Machell, F.W.1    Penrod, C.S.2    Ellis, G.E.3
  • 28
    • 0002063041 scopus 로고
    • Robust M-estimators of multivariate location and scatter
    • R. A. Maronna, “Robust M-estimators of multivariate location and scatter,” Ann. Stat., vol. 4, no. 1, pp. 51-67, 1976.
    • (1976) Ann. Stat. , vol.4 , Issue.1 , pp. 51-67
    • Maronna, R.A.1
  • 29
    • 0023963360 scopus 로고
    • Eigenstructure variability of the multiple-source multiple-sensor covariance matrix with contaminated Gaussian data
    • Feb.
    • A. Moghaddamjoo, “Eigenstructure variability of the multiple-source multiple-sensor covariance matrix with contaminated Gaussian data,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 153-166, Feb. 1988.
    • (1988) IEEE Trans. Acoust., Speech, Signal Processing , vol.36 , pp. 153-166
    • Moghaddamjoo, A.1
  • 31
    • 0026121339 scopus 로고
    • A robust approach for high-resolution frequency estimation
    • Mar.
    • S. Oh and R. L. Kashyap, “A robust approach for high-resolution frequency estimation,” IEEE Trans. Signal Processing, vol. 39, pp. 627-643, Mar. 1991.
    • (1991) IEEE Trans. Signal Processing , vol.39 , pp. 627-643
    • Oh, S.1    Kashyap, R.L.2
  • 32
    • 77950449860 scopus 로고
    • Fourier-analytische Methoden zur Verschärfung der Berry-Esseen Schranke
    • Ph.D. dissertation, Bonn, Germany
    • P. van Beek, “Fourier-analytische Methoden zur Verschärfung der Berry-Esseen Schranke,” Ph.D. dissertation, Bonn, Germany, 1971.
    • (1971)
    • van Beek, P.1
  • 33
    • 0000602905 scopus 로고
    • An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality
    • P. van Beek, “An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality,” Z. Wahrsheinlichkeits-theorie verw. Geb., vol. 23, no. 3, pp. 187-196, 1972.
    • (1972) Z. Wahrsheinlichkeits-theorie verw. Geb. , vol.23 , Issue.3 , pp. 187-196
    • van Beek, P.1
  • 34
    • 0021791423 scopus 로고
    • A characterization of Arctic undersea noise
    • G. Veitch and A. R. Wilks, “A characterization of Arctic undersea noise,” J. Acoust. Soc. Amer., vol. 77, pp. 989-999, 1985.
    • (1985) J. Acoust. Soc. Amer. , vol.77 , pp. 989-999
    • Veitch, G.1    Wilks, A.R.2
  • 36
    • 84941429001 scopus 로고
    • Robust methods tailored for non-Gaussian narrowband array processing
    • Ph.D. dissertation, Rice University, Houston, TX, May
    • D. B. Williams, “Robust methods tailored for non-Gaussian narrowband array processing,” Ph.D. dissertation, Rice University, Houston, TX, May 1989.
    • (1989)
    • Williams, D.B.1
  • 37
    • 0023207038 scopus 로고
    • High-resolution bearing estimation by covariance matrix approximation
    • Apr.
    • C. C. Yeh and M. Bayri, “High-resolution bearing estimation by covariance matrix approximation,” in Proc. Int. Conf. Acoust., Speech, Signal Processing, vol. 3, pp. 1585-1588, Apr. 1987.
    • (1987) Proc. Int. Conf. Acoust., Speech, Signal Processing , vol.3 , pp. 1585-1588
    • Yeh, C.C.1    Bayri, M.2
  • 38
    • 0024089986 scopus 로고
    • Maximum likelihood localization of multiple sources by alternating projection
    • Oct.
    • I. Ziskind and M. Wax, “Maximum likelihood localization of multiple sources by alternating projection,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1553-1560, Oct. 1988.
    • (1988) IEEE Trans. Acoust., Speech, Signal Processing , vol.36 , pp. 1553-1560
    • Ziskind, I.1    Wax, M.2
  • 39
    • 33746075335 scopus 로고
    • An absolute estimate of the remainder term in the central limit theorem
    • V. M. Zolotarev, “An absolute estimate of the remainder term in the central limit theorem,” Theory Prob. Its Appl., vol. 11, no. 1, pp. 95-105, 1966.
    • (1966) Theory Prob. Its Appl. , vol.11 , Issue.1 , pp. 95-105
    • Zolotarev, V.M.1
  • 40
    • 79959289274 scopus 로고
    • Some inequalities in probability theory and their application in sharpening the Ljapunov theorem
    • V. M. Zolotarev, “Some inequalities in probability theory and their application in sharpening the Ljapunov theorem,” Sov. Math. Doklady, vol. 8, no. 6, pp. 1427-1430, 1967.
    • (1967) Sov. Math. Doklady , vol.8 , Issue.6 , pp. 1427-1430
    • Zolotarev, V.M.1


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