Journal of Guangdong University of Technology ›› 2008, Vol. 25 ›› Issue (2): 44-46.

• Comprehensive Studies • Previous Articles     Next Articles

Recoverability Analysis of Sparse Blind Source Separation

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2008-06-01 Published:2008-06-01

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Abstract: By adopting the method of sparse component analysis,it discusses the recoverability of underdetermined blind source separation based on sparse representation.It establishes the sufficient and necessary conditions of source’s recoverability under l2-norm.And it further discusses the robustness of the l2-norm solution to additive noise.

Key words: underdetermined mixing； blind source separation； sparse representation； l-norm solution；

[1] Eriksson J,Koivunen V.Identifiability and separability oflinear ICA models revisited. Proceeding of Fourth In-ternational Symposium on Independent Component Analysisand Blind Signal Separation . 2003

[2] Davies M.Identifiability issues in noisy ICA. IEEE SigProc Letters . 2004

[3] Li Y,Wang J.Sequential blind extraction of linearly mixedsources. IEEE Transactions on Signal Processing . 2002

[4] Fuchs J J.Recovery of exact sparse representations in thepresence of noise. Proc.of IEEE International Confer-ence on Acoustics,Speech,and Signal Processing . 2004

[5] Donoho D L,Elad M,Temlyakov V N.Stable recovery ofsparse overcomplete representations in the presence of noise. IEEE Transactions on Information Theory . 2006

[6] CARDOSO J F.Blind signal separation: statistical principles. Proceedings of the IEEE . 1998

[7] Zibulevsky M,Pearlmutter B A.Blind source separation by sparse decomposition in a signal dictionary. Neural Computation . 2001

[8] Lee T W,,Lewicki M S,Girolami M,Sejnowski T J.Blind source separation of more sources than mixturesusing overcomplete representation. IEEE Signalprocessing letter . 1999

[9] Li Yuanqing,Cichocki A,and Amari S.Analysis of sparse representation and blind source separation. Neural Computation . 2004

[10] Y.Q.Li,S.Amari,A.Cichocki,and D.W.C.Ho."Underdetermined Blind Source Separation Based on Sparse Representation". IEEE Transactions on Signal Processing . 2006

[11] Gribonval, Remi,Nielsen, Morten.Sparse Representations in Unions of Bases. IEEE Transactions on Information Theory . 2003

[12] Donoho D L,Elad M.Maximal sparsity representation via l1 minimization. Proc National Academy Science . 2003
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