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Volumn 57, Issue 6, 2009, Pages 2209-2221

On the convergence of ICA algorithms with symmetric orthogonalization

Author keywords

Blind source separation; Convergence; Fixed point algorithms; Independent component analysis (ICA); Symmetric orthogonalization

Indexed keywords

CONVERGENCE; CONVERGENCE ANALYSIS; CONVERGENCE RESULTS; CONVEX OBJECTIVES; CRITICAL POINTS; FIXED POINT ALGORITHMS; GRADIENT BASED; HOUSEHOLDER REFLECTIONS; ICA ALGORITHMS; NON-CONVEX OBJECTIVE FUNCTIONS; OBJECTIVE FUNCTIONS; ORTHOGONALIZATION; PREWHITENING; SEPARATION MATRIX; STATIONARY POINTS; SYMMETRIC ORTHOGONALIZATION;

EID: 66849115116     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2015114     Document Type: Article
Times cited : (26)

References (26)
  • 2
    • 0346307721 scopus 로고    scopus 로고
    • A fast fixed-point algorithm for independent component analysis
    • Oct
    • A. Hyvärinen and E. Oja, "A fast fixed-point algorithm for independent component analysis," Neural Comput., vol. 9, no. 7, pp. 1483-1492, Oct. 1997.
    • (1997) Neural Comput , vol.9 , Issue.7 , pp. 1483-1492
    • Hyvärinen, A.1    Oja, E.2
  • 3
    • 0042525811 scopus 로고    scopus 로고
    • Monotonic convergence of fixed-point algorithms for ICA
    • July
    • P. A. Regalia and E. Kofidis, "Monotonic convergence of fixed-point algorithms for ICA," IEEE Trans. Neural Netw., vol. 14, no. 4, pp. 943-949, July 2003.
    • (2003) IEEE Trans. Neural Netw , vol.14 , Issue.4 , pp. 943-949
    • Regalia, P.A.1    Kofidis, E.2
  • 4
    • 0036503069 scopus 로고    scopus 로고
    • Optimization algorithms exploiting unitary constraints
    • Mar
    • J. H. Manton, "Optimization algorithms exploiting unitary constraints," IEEE Trans. Signal Process., vol. 50, no. 3, pp. 635-650, Mar. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.3 , pp. 635-650
    • Manton, J.H.1
  • 5
    • 34247884300 scopus 로고    scopus 로고
    • Globally convergent deflationary instantaneous blind source separation algorithm for digital communication signals
    • May
    • A. T. Erdogan, "Globally convergent deflationary instantaneous blind source separation algorithm for digital communication signals," IEEE Trans. Signal Process., vol. 55, no. 5, pp. 2182-2192, May 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.5 , pp. 2182-2192
    • Erdogan, A.T.1
  • 6
    • 33745711476 scopus 로고    scopus 로고
    • Local convergence analysis of FastICA
    • Feb
    • H. Shen and K. Huper, "Local convergence analysis of FastICA," Lecture Notes Comput. Sci., vol. 3889, pp. 893-900, Feb. 2006.
    • (2006) Lecture Notes Comput. Sci , vol.3889 , pp. 893-900
    • Shen, H.1    Huper, K.2
  • 7
    • 84968593908 scopus 로고    scopus 로고
    • Convergence of the symmetrical FastICA algorithm
    • Nov
    • E. Oja, "Convergence of the symmetrical FastICA algorithm," in Proc. 9th Int. Conf. Neural Inf. Process., Nov. 2002, vol. 3, pp. 1368-1372.
    • (2002) Proc. 9th Int. Conf. Neural Inf. Process , vol.3 , pp. 1368-1372
    • Oja, E.1
  • 8
    • 37849185140 scopus 로고    scopus 로고
    • The FastICA algorithm revisited: Convergence analysis
    • Nov
    • E. Oja and Z. Yuan, "The FastICA algorithm revisited: Convergence analysis," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1370-1381, Nov. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.6 , pp. 1370-1381
    • Oja, E.1    Yuan, Z.2
  • 9
    • 33645288306 scopus 로고    scopus 로고
    • Performance analysis of the FastICA algorithm and Cramer-Rao bounds for linear independent component analysis
    • Apr
    • P. Tichavsky, Z. Koldovsky, and E. Oja, "Performance analysis of the FastICA algorithm and Cramer-Rao bounds for linear independent component analysis," IEEE Trans. Signal Process., vol. 54, no. 4, pp. 1189-1203, Apr. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.4 , pp. 1189-1203
    • Tichavsky, P.1    Koldovsky, Z.2    Oja, E.3
  • 10
    • 51449112553 scopus 로고    scopus 로고
    • On the convergence of ICA algorithms with symmetric orthogonalization
    • Mar.-Apr
    • A. T. Erdogan, "On the convergence of ICA algorithms with symmetric orthogonalization," in Proc. ICASSP, Mar.-Apr. 2008, pp. 1925-1928.
    • (2008) Proc. ICASSP , pp. 1925-1928
    • Erdogan, A.T.1
  • 11
    • 0034510827 scopus 로고    scopus 로고
    • Globally convergent blind source separation based on a multiuser kurtosis maximization criterion
    • Dec
    • C. Papadias, "Globally convergent blind source separation based on a multiuser kurtosis maximization criterion," IEEE Trans. Signal Process., vol. 48, no. 12, pp. 3508-3519, Dec. 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.12 , pp. 3508-3519
    • Papadias, C.1
  • 14
    • 77956596391 scopus 로고    scopus 로고
    • The Complex Gradient Operator and the Cr-Calculus: Ece275a-Lecture Supplement
    • Fall
    • K. Kreutz-Delgado, The Complex Gradient Operator and the Cr-Calculus: Ece275a-Lecture Supplement: Fall 2006.
    • (2006)
    • Kreutz-Delgado, K.1
  • 15
    • 34249790289 scopus 로고    scopus 로고
    • Complex-valued matrix differentiation: Techniques and key results
    • Jun
    • A. Hjornungnes and D. Gesbert, "Complex-valued matrix differentiation: Techniques and key results," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2740-2746, Jun. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.6 , pp. 2740-2746
    • Hjornungnes, A.1    Gesbert, D.2
  • 16
    • 34547536295 scopus 로고    scopus 로고
    • Unified theory of complex-valued matrix differentiation
    • Apr
    • A. Hjornungnes, D. Gesbert, and D. P. Palomar, "Unified theory of complex-valued matrix differentiation," in Proc. IEEE ICASSP 2007, Apr. 2007, vol. 3, pp. 345-348.
    • (2007) Proc. IEEE ICASSP 2007 , vol.3 , pp. 345-348
    • Hjornungnes, A.1    Gesbert, D.2    Palomar, D.P.3
  • 17
    • 47049089862 scopus 로고    scopus 로고
    • Optimization in the complex domain for nonlinear adaptive filtering
    • H. Li and T. Adali, "Optimization in the complex domain for nonlinear adaptive filtering," in Proc. 40th Asilomar Conf. Signals Syst. Comput., 2006, pp. 263-267.
    • (2006) Proc. 40th Asilomar Conf. Signals Syst. Comput , pp. 263-267
    • Li, H.1    Adali, T.2
  • 21
    • 0025404985 scopus 로고
    • New criteria for blind deconvolution of nonminimum phase systems (channels)
    • Mar
    • O. Shalvi and E. Weinstein, "New criteria for blind deconvolution of nonminimum phase systems (channels)," IEEE Trans. Inf. Theory, vol. 36, pp. 312-321, Mar. 1990.
    • (1990) IEEE Trans. Inf. Theory , vol.36 , pp. 312-321
    • Shalvi, O.1    Weinstein, E.2
  • 22
    • 0027556079 scopus 로고
    • Super-exponential methods for blind deconvolution
    • Mar
    • O. Shalvi and E. Weinstein, "Super-exponential methods for blind deconvolution," IEEE Trans. Inf. Theory, vol. 39, pp. 504-519, Mar. 1993.
    • (1993) IEEE Trans. Inf. Theory , vol.39 , pp. 504-519
    • Shalvi, O.1    Weinstein, E.2
  • 23
    • 0033101967 scopus 로고    scopus 로고
    • Undermodeled equalization: A characterization of stationary points for a family of blind criteria
    • Mar
    • P. Regalia and M. Mboup, "Undermodeled equalization: A characterization of stationary points for a family of blind criteria," IEEE Trans. Signal Process., vol. 47, no. 3, pp. 760-770, Mar. 1999.
    • (1999) IEEE Trans. Signal Process , vol.47 , Issue.3 , pp. 760-770
    • Regalia, P.1    Mboup, M.2
  • 25
    • 22544469150 scopus 로고    scopus 로고
    • On the entrywice powers of matrices
    • G. Gorni and H. Tutaj-Gasińska, "On the entrywice powers of matrices," Commun. Algebra, vol. 32, pp. 495-520, 2004.
    • (2004) Commun. Algebra , vol.32 , pp. 495-520
    • Gorni, G.1    Tutaj-Gasińska, H.2
  • 26
    • 33747067721 scopus 로고    scopus 로고
    • On the range of a Hadamard power of a positive semidefinite matrix
    • X. Sun, X. Du, and D. Liu, "On the range of a Hadamard power of a positive semidefinite matrix," Linear Algebra Appl., vol. 416, pp. 868-871, 2006.
    • (2006) Linear Algebra Appl , vol.416 , pp. 868-871
    • Sun, X.1    Du, X.2    Liu, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.