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[ ] 7 Oct 2011A Blind Source Separation Method for NearlyDegenerate Mixtures and Its applications to NMRSpectroscopyYuanchang Sun and Jack Xin AbstractIn this paper, we develop a novel blind source separation (BSS) method fornonnegative and correlated data, particularly for the nearly degenerate motivation lies in nuclear magnetic resonance (NMR) spectroscopy , wherea multiple mixture NMR spectra are recorded to identify chemical compoundswith similar structures (degeneracy).There have been a number of successful approaches for solving BSS problemsby exploiting the nature of source signals. For instance, independent componentanalysis (ICA) is used to separate statistically independent (orthogonal) sourcesignals. However, signal orthogonality is not guaranteed in many real-worldproblems. This new BSS method developed here deals with nonorthogonal sig-nals. The independence assumption is replaced by a condition which requiresdominant interval(s) (DI) from each of source signals over others.

chemistry, in particular, NMR spectroscopy. Applications include identification of organic compounds, metabolic fingerprinting, disease diagnosis, and drug design.

  Applications, Spectroscopy, Nmr spectroscopy

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