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Volumn 107, Issue 1-2, 2006, Pages 155-187

Robust mean-squared error estimation of multiple signals in linear systems affected by model and noise uncertainties

Author keywords

Block Circulant Matrices; Discrete Fourier Transform; Minimax Mean Squared Error; Multiple Observations; Robust Estimation; Semidefinite Programming

Indexed keywords

ERROR ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; SIGNAL THEORY;

EID: 33644665380     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-005-0683-3     Document Type: Article
Times cited : (20)

References (30)
  • 1
    • 0002433203 scopus 로고
    • Optimization over the positive-definite cone: Interior point methods and combinatorial applications
    • Pardalos, P. (ed.). North-Holland, the Netherlands
    • Alizadeh, F.: Optimization over the positive-definite cone: interior point methods and combinatorial applications. In: Pardalos, P. (ed.), Advances in optimization and parallel computing. North-Holland, the Netherlands, 1992
    • (1992) Advances in Optimization and Parallel Computing
    • Alizadeh, F.1
  • 2
    • 33644682318 scopus 로고    scopus 로고
    • Minimax mean-squared error estimation of multichannel signals in the presence of bounded data uncertainties
    • submitted to
    • Beck, A., Eldar, Y.C., Ben-Tal, A.: Minimax mean-squared error estimation of multichannel signals in the presence of bounded data uncertainties, submitted to SIAM J. Matrix Anal. Appl.
    • SIAM J. Matrix Anal. Appl.
    • Beck, A.1    Eldar, Y.C.2    Ben-Tal, A.3
  • 3
    • 25444505691 scopus 로고    scopus 로고
    • Maximum set estimators with bounded estimation error
    • submitted to Aug.
    • Ben-Haim, Z., Eldar, Y.C.: Maximum set estimators with bounded estimation error, submitted to IEEE Trans. Signal Processing, vol. 53, no. 8, pp. 3172-3182, Aug. 2005
    • (2005) IEEE Trans. Signal Processing , vol.53 , Issue.8 , pp. 3172-3182
    • Ben-Haim, Z.1    Eldar, Y.C.2
  • 5
    • 0032207223 scopus 로고    scopus 로고
    • Robust convex optimization
    • Ben-Tal, A., Nemirovski, A.: Robust convex optimization. Math. Oper. Res. 23 (4), 769-805 (1998)
    • (1998) Math. Oper. Res. , vol.23 , Issue.4 , pp. 769-805
    • Ben-Tal, A.1    Nemirovski, A.2
  • 7
    • 0034817947 scopus 로고    scopus 로고
    • Robust maximum likelihood estimation in the linear model
    • Calafiore, G., El Ghaoui, L.: Robust maximum likelihood estimation in the linear model. Automatica 37, 573-580 (2001)
    • (2001) Automatica , vol.37 , pp. 573-580
    • Calafiore, G.1    El Ghaoui, L.2
  • 8
    • 0032340223 scopus 로고    scopus 로고
    • Parameter estimation in the presence of bounded data uncertainties
    • Chandrasekaran, S., Golub, G.H., Gu, M., Sayed, A.H.: Parameter estimation in the presence of bounded data uncertainties. SIAM J. Matrix Anal. Appl. 19 (1), 235-252 (1998)
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , Issue.1 , pp. 235-252
    • Chandrasekaran, S.1    Golub, G.H.2    Gu, M.3    Sayed, A.H.4
  • 10
    • 30344449771 scopus 로고    scopus 로고
    • Minimax MSE estimation of deterministic parameters with noise covariance uncertainties
    • submitted to, to appear
    • Eldar, Y.C.: Minimax MSE estimation of deterministic parameters with noise covariance uncertainties, submitted to IEEE Trans. Signal Processing, to appear
    • IEEE Trans. Signal Processing
    • Eldar, Y.C.1
  • 11
    • 11844289605 scopus 로고    scopus 로고
    • Robust mean-squared error estimation in the presence of model uncertainties
    • Jan.
    • Eldar, Y.C., Ben-Tal, A., Nemirovski, A.: Robust mean-squared error estimation in the presence of model uncertainties. IEEE Trans. Signal Processing, vol. 53, pp. 168-181, Jan. 2005
    • (2005) IEEE Trans. Signal Processing , vol.53 , pp. 168-181
    • Eldar, Y.C.1    Ben-Tal, A.2    Nemirovski, A.3
  • 12
    • 3543077522 scopus 로고    scopus 로고
    • Linear minimax regret estimation of deterministic parameters with bounded data uncertainties
    • Eldar, Y.C., Ben-Tal, A., Nemirovski, A.: Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. IEEE Trans. Signal Processing 52, 2177-2188 (2004)
    • (2004) IEEE Trans. Signal Processing , vol.52 , pp. 2177-2188
    • Eldar, Y.C.1    Ben-Tal, A.2    Nemirovski, A.3
  • 13
    • 31344448949 scopus 로고    scopus 로고
    • Robust linear estimation under a minimax mse-ratio criterion
    • Technical Report CCIT 449, Technion-Israel Institute of Technology, Haifa, Israel, Oct.. submitted to Aug.
    • Eldar, Y.C., Merhav, N.: Robust linear estimation under a minimax mse-ratio criterion. Technical Report CCIT 449, Technion-Israel Institute of Technology, Haifa, Israel, Oct. 2003. submitted to IEEE Trans. Signal Processing, vol. 52, pp. 2177-2188, Aug. 2004
    • (2003) IEEE Trans. Signal Processing , vol.52 , pp. 2177-2188
    • Eldar, Y.C.1    Merhav, N.2
  • 14
    • 3142711365 scopus 로고    scopus 로고
    • A competitive minimax approach to robust estimation in linear models
    • Eldar, Y.C., Merhav, N.: A competitive minimax approach to robust estimation in linear models. IEEE Trans. Signal Processing 52, 1931-1946 (2004)
    • (2004) IEEE Trans. Signal Processing , vol.52 , pp. 1931-1946
    • Eldar, Y.C.1    Merhav, N.2
  • 17
    • 0031536271 scopus 로고    scopus 로고
    • Robust solution to least-squares problems with uncertain data
    • El Ghaoui, L., Lebret, H.: Robust solution to least-squares problems with uncertain data. SIAM J. Matrix Anal. Appl. 18 (4), 1035-1064 (1997)
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , Issue.4 , pp. 1035-1064
    • El Ghaoui, L.1    Lebret, H.2
  • 18
    • 0000333571 scopus 로고
    • An analysis of the total least-squares problem
    • Golub, G.H., Van Loan, C.F.: An analysis of the total least-squares problem. SIAM J. Numer. Anal. 17 (6), 883-893 (1980)
    • (1980) SIAM J. Numer. Anal. , vol.17 , Issue.6 , pp. 883-893
    • Golub, G.H.1    Van Loan, C.F.2
  • 20
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • Hoerl, A.E., Kennard, R.W.: Ridge regression: Biased estimation for nonorthogonal problems. Technometrics 12, 55-67 (1970)
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.E.1    Kennard, R.W.2
  • 21
    • 0003297912 scopus 로고
    • The total least-squares problem: Computational aspects and analysis
    • Philadelphia, PA: SIAM
    • Van Huffel, S., Vandewalle, J.: The total least-squares problem: computational aspects and analysis. Volume 9 of Frontier in Applied Mathematics. Philadelphia, PA: SIAM, 1991
    • (1991) Frontier in Applied Mathematics , vol.9
    • Van Huffel, S.1    Vandewalle, J.2
  • 24
    • 84952099094 scopus 로고
    • On biased estimation in linear models
    • Mayer, L.S., Willke, T.A.: On biased estimation in linear models. Technometrics, 15, 497-508 (1973)
    • (1973) Technometrics , vol.15 , pp. 497-508
    • Mayer, L.S.1    Willke, T.A.2
  • 25
    • 0003630894 scopus 로고
    • Interior-point polynomial algorithms in convex programming
    • SIAM, Philadelphia, PE
    • Nesterov, Y., Nemirovski, A.: Interior-point polynomial algorithms in convex programming. SIAM, Philadelphia, PE, 1994
    • (1994) Nemirovski, A.
    • Nesterov, Y.1
  • 26
    • 0043080051 scopus 로고    scopus 로고
    • Estimation and control with bounded data uncertainties
    • Sayed, A.H., Nascimento, V., Chandrasekaran, S.: Estimation and control with bounded data uncertainties. Linear Alg. Appl. 284 (1), 259-306 (1998)
    • (1998) Linear Alg. Appl. , vol.284 , Issue.1 , pp. 259-306
    • Sayed, A.H.1    Nascimento, V.2    Chandrasekaran, S.3
  • 27
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • Strum, J.F.: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization methods and software, 11-12, 625-653 (1999)
    • (1999) Optimization Methods and Software , vol.11-12 , pp. 625-653
    • Strum, J.F.1
  • 30
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L., Boyd, S.: Semidefinite programming. SIAM Rev. 38 (1), 40-95 (1996)
    • (1996) SIAM Rev. , vol.38 , Issue.1 , pp. 40-95
    • Vandenberghe, L.1    Boyd, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.