Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
Jacobi Angles for Simultaneous Diagonalization
SIAM Journal on Matrix Analysis and Applications
Cumulant-based subspace tracking
Signal Processing
Total variation blind deconvolution
IEEE Transactions on Image Processing
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Underdetermined Sparse Blind Source Separation of Nonnegative and Partially Overlapped Data
SIAM Journal on Scientific Computing
Journal of Scientific Computing
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We study an efficient dynamic blind source separation algorithm of convolutive sound mixtures based on updating statistical information in the frequency domain, and minimizing the support of time domain demixing filters by a weighted least square method. The permutation and scaling indeterminacies of separation, and concatenations of signals in adjacent time frames are resolved with optimization of l^1xl^~ norm on cross-correlation coefficients at multiple time lags. The algorithm is a direct method without iterations, and is adaptive to the environment. Computations on recorded benchmark mixtures of speech and music signals show excellent performance. The method in general separates a foreground source from a background of sounds as often encountered in realistic situations.