메뉴 건너뛰기




Volumn 59, Issue 10, 2011, Pages 4585-4594

A tensor framework for nonunitary joint block diagonalization

Author keywords

Blind source separation; conjugate gradient; independent subspace analysis; joint block diagonalization (JBD); second order statistics; tensor decomposition

Indexed keywords

BLOCK DIAGONALIZATION; CONJUGATE GRADIENT; INDEPENDENT SUBSPACE ANALYSIS; SECOND ORDER STATISTICS; TENSOR DECOMPOSITION;

EID: 80052908842     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2011.2161473     Document Type: Article
Times cited : (32)

References (29)
  • 1
    • 61549115560 scopus 로고    scopus 로고
    • Fast approximate joint diagonalization incorporating weight matrices
    • P. Tichavsky and A. Yeredor, "Fast approximate joint diagonalization incorporating weight matrices," IEEE Trans. Signal Process., vol. 57, no. 3, pp. 878-891, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.3 , pp. 878-891
    • Tichavsky, P.1    Yeredor, A.2
  • 2
    • 0036648367 scopus 로고    scopus 로고
    • Non-orthogonal joint diagonalization in the least-squares sense with application in blind source separation
    • A. Yeredor, "Non-orthogonal joint diagonalization in the least-squares sense with application in blind source separation," IEEE Trans. Signal Process., vol. 50, no. 7, pp. 1545-1553, 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.7 , pp. 1545-1553
    • Yeredor, A.1
  • 3
    • 40749124427 scopus 로고    scopus 로고
    • Blind identification of underdetermined mixtures by simultaneous matrix diagonalization
    • DOI 10.1109/TSP.2007.908929
    • L. De Lathauwer and J. Castaing, "Blind identification of underdetermined mixtures by simultaneous matrix diagonalization," IEEE Trans. Signal Process., vol. 56, no. 3, pp. 1096-1105, 2008. (Pubitemid 351386270)
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.3 , pp. 1096-1105
    • De Lathauwer, L.1    Castaing, J.2
  • 4
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Model and conditions for an 'explanatory' multi-mode factor analysis
    • R. A. Harshman, "Foundations of the PARAFAC procedure: Model and conditions for an 'explanatory' multi-mode factor analysis," UCLA Working Papers in Phonet., vol. 16, pp. 1-84, 1970.
    • (1970) UCLA Working Papers in Phonet. , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 5
    • 0030813663 scopus 로고    scopus 로고
    • PARAFAC: Tutorial and applications
    • R. Bro, "PARAFAC: Tutorial and applications," Chemom. Intell. Lab. Syst., vol. 38, pp. 149-171, 1997.
    • (1997) Chemom. Intell. Lab. Syst. , vol.38 , pp. 149-171
    • Bro, R.1
  • 6
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition
    • J. D. Carroll and J. Chang, "Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition," Psychometrika, vol. 35, no. 3, pp. 283-319, 1970.
    • (1970) Psychometrika , vol.35 , Issue.3 , pp. 283-319
    • Carroll, J.D.1    Chang, J.2
  • 7
    • 33746359652 scopus 로고    scopus 로고
    • Sufficient conditions for uniqueness in Candecomp/Parafac and indscal with random component matrices
    • DOI 10.1007/11336-006-1278-2
    • A. Stegeman, J. ten Berge, and L. De Lathauwer, "Sufficient conditions for uniqueness in Candecomp/Parafac and Indscal with random component matrices," Psychometrika, vol. 71, pp. 219-229, 2006. (Pubitemid 44116380)
    • (2006) Psychometrika , vol.71 , Issue.2 , pp. 219-229
    • Stegeman, A.1    Ten Berge, J.M.F.2    De Lathauwer, L.3
  • 8
    • 77955837319 scopus 로고    scopus 로고
    • Batch and adaptive PARAFAC-based blind separation of convolutive speech mixtures
    • Aug.
    • D. Nion, K. N. Mokios, N. D. Sidiropoulos, and A. Potamianos, "Batch and adaptive PARAFAC-based blind separation of convolutive speech mixtures," IEEE Trans. Audio, Speech Lang. Process., vol. 18, no. 6, pp. 1193-1207, Aug. 2010.
    • (2010) IEEE Trans. Audio, Speech Lang. Process. , vol.18 , Issue.6 , pp. 1193-1207
    • Nion, D.1    Mokios, K.N.2    Sidiropoulos, N.D.3    Potamianos, A.4
  • 9
    • 0035797472 scopus 로고    scopus 로고
    • Jacobi-like algorithm for blind signal separation of convolutive mixtures
    • DOI 10.1049/el:20010698
    • H. Bousbiah Salah, A. Belouchrani, and K. Abed Meraim, "Jacobi-like algorithm for blind signal separation of convolutive mixtures," Electron. Lett., vol. 37, no. 16, pp. 1049-1050, Aug. 2001. (Pubitemid 32774781)
    • (2001) Electronics Letters , vol.37 , Issue.16 , pp. 1049-1050
    • Bousbia-Salah, H.1    Belouchrani, A.2    Abed-Meraim, K.3
  • 12
    • 76749083804 scopus 로고    scopus 로고
    • Gradient-based joint block diagonalization algorithms: Application to blind separation of FIR convolutive mixtures
    • H. Ghennioui, N. Thirion-Moreau, E. Moreau, and D. Aboutajdine, "Gradient-based joint block diagonalization algorithms: Application to blind separation of FIR convolutive mixtures," Signal Process., vol. 90, no. 6, pp. 1836-1849, 2010.
    • (2010) Signal Process. , vol.90 , Issue.6 , pp. 1836-1849
    • Ghennioui, H.1    Thirion-Moreau, N.2    Moreau, E.3    Aboutajdine, D.4
  • 13
    • 84864031064 scopus 로고    scopus 로고
    • Towards a general independent subspace analysis
    • F. Theis, "Towards a general independent subspace analysis," in Proc. NIPS 2006, 2007.
    • (2007) Proc. NIPS , vol.2006
    • Theis, F.1
  • 14
    • 29144516371 scopus 로고    scopus 로고
    • Blind signal separation into groups of dependent signals using joint block diagonalization
    • Kobe, Japan
    • F. Theis, "Blind signal separation into groups of dependent signals using joint block diagonalization," in Proc. ISCAS 2005, Kobe, Japan, 2005, pp. 5878-5881.
    • (2005) Proc. ISCAS , vol.2005 , pp. 5878-5881
    • Theis, F.1
  • 15
    • 79953814105 scopus 로고    scopus 로고
    • Tensor algebra and multi-dimensional harmonic retrieval in signal processing for MIMO radar
    • Nov.
    • D. Nion and N. D. Sidiropoulos, "Tensor algebra and multi-dimensional harmonic retrieval in signal processing for MIMO radar," IEEE Trans. Signal Process., vol. 58, no. 11, pp. 5693-5705, Nov. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.11 , pp. 5693-5705
    • Nion, D.1    Sidiropoulosx, N.D.2
  • 16
    • 34249318021 scopus 로고    scopus 로고
    • Algorithms for joint block diagonalization
    • K. Abed Meraim and A. Belouchrani, "Algorithms for joint block diagonalization," in Proc. (Eusipco'04), 2004, pp. 209-212.
    • (2004) Proc. (Eusipco'04) , pp. 209-212
    • Abed Meraim, K.1    Belouchrani, A.2
  • 18
    • 36248960991 scopus 로고    scopus 로고
    • A nonunitary joint block diagonalization algorithm for blind separation of convolutive mixtures of sources
    • DOI 10.1109/LSP.2007.903273
    • H. Ghennioui, E.-M. Fadailli, N. Thirion-Moreau, A. Adib, and E. Moreau, "A nonunitary joint block diagonalization algorithm for blind separation of convolutive mixtures of sources," IEEE Signal Process. Lett., vol. 14, no. 11, pp. 860-863, Nov. 2007. (Pubitemid 350130780)
    • (2007) IEEE Signal Processing Letters , vol.14 , Issue.11 , pp. 860-863
    • Ghennioui, H.1    Fadaili, E.M.2    Thirion-Moreau, N.3    Adib, A.4    Moreau, E.5
  • 19
    • 34247871491 scopus 로고    scopus 로고
    • Nonorthogonal joint diagonalization free of degenerate solution
    • DOI 10.1109/TSP.2006.889983
    • X.-L. Li and X.-D. Zhang, "Nonorthogonal joint diagonalization free of degenerate solution," IEEE Trans. Signal Process., vol. 55, no. 5, pp. 1803-1814, May 2007. (Pubitemid 46695365)
    • (2007) IEEE Transactions on Signal Processing , vol.55 , Issue.5 , pp. 1803-1814
    • Li, X.-L.1    Zhang, X.-D.2
  • 20
    • 54949113878 scopus 로고    scopus 로고
    • Decompositions of a higher-order tensor in block terms-Part I: Lemmas for partitioned matrices
    • L. De Lathauwer, "Decompositions of a higher-order tensor in block terms-Part I: Lemmas for partitioned matrices," SIAM J. Matrix Anal. Appl., vol. 30, no. 3, pp. 1022-1032, 2008.
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , Issue.3 , pp. 1022-1032
    • De Lathauwer, L.1
  • 21
    • 67349118082 scopus 로고    scopus 로고
    • Decompositions of a higher-order tensor in block terms-Part II: Definitions and uniqueness
    • L. De Lathauwer, "Decompositions of a higher-order tensor in block terms-Part II: Definitions and uniqueness," SIAM J. Matrix Anal. Appl., vol. 30, no. 3, pp. 1033-1066, 2008.
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , Issue.3 , pp. 1033-1066
    • De Lathauwer, L.1
  • 23
    • 43949091483 scopus 로고    scopus 로고
    • Complex-valued adaptive signal processing using nonlinear functions
    • H. Li and T. Adali, "Complex-valued adaptive signal processing using nonlinear functions," EURASIP J. Adv. Signal Process., vol. 2008, pp. 1-9, 2008.
    • (2008) EURASIP J. Adv. Signal Process. , vol.2008 , pp. 1-9
    • Li, H.1    Adali, T.2
  • 24
    • 34249790289 scopus 로고    scopus 로고
    • Complex-valued matrix differentiation: Techniques and key results
    • DOI 10.1109/TSP.2007.893762
    • A. Hjørungnes and D. Gesbert, "Complex-valued matrix differentiation: Techniques and key results," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2740-2746, June 2007. (Pubitemid 46851638)
    • (2007) IEEE Transactions on Signal Processing , vol.55 , Issue.6 , pp. 2740-2746
    • Hjorungnes, A.1    Gesbert, D.2
  • 25
    • 33745276908 scopus 로고    scopus 로고
    • A survey of nonlinear conjugate gradient methods
    • W. W. Hager and H. Zhang, "A survey of nonlinear conjugate gradient methods," Pacific J. Optimiz., vol. 2, pp. 35-58, 2006.
    • (2006) Pacific J. Optimiz. , vol.2 , pp. 35-58
    • Hager, W.W.1    Zhang, H.2
  • 27
    • 0033275630 scopus 로고    scopus 로고
    • The multilinear engine-A table-driven, least-squares program for solving multi-linear problems, including the T-way parallel factor analysis model
    • Dec.
    • P. Paatero, "The multilinear engine-A table-driven, least-squares program for solving multi-linear problems, including the T-way parallel factor analysis model," J. Comput. Graph. Stat., vol. 8, no. 4, pp. 854-888, Dec. 1999.
    • (1999) J. Comput. Graph. Stat. , vol.8 , Issue.4 , pp. 854-888
    • Paatero, P.1
  • 28
    • 84966204312 scopus 로고
    • Numerical methods for computing angles between linear subspaces
    • A. Bjorck and G. Golub, "Numerical methods for computing angles between linear subspaces," Math. Comp., vol. 27, pp. 579-594, 1973.
    • (1973) Math. Comp. , vol.27 , pp. 579-594
    • Bjorck, A.1    Golub, G.2
  • 29


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.