Abstract
In this paper we study extraction of independent components from the instantaneous sparse mixture with additive Gaussian noise. We model the problem as a dictionary-learning-like objective function which tries to discover independent atoms and corresponding sparse mixing matrix. The objective function involves fidelity term, L1 normalization term and Negentropy term which respectively limits noise, maximizes the sparseness of mixing matrix and non-Gaussianity of each atom. An alternative iteration algorithm is proposed to solve the optimization. According to our simulation, the proposed method outperforms FastICA and K-SVD.
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