Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
A survey of truncated-Newton methods
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Array Signal Processing: Concepts and Techniques
Array Signal Processing: Concepts and Techniques
Blind Source Separation by Sparse Decomposition in a Signal Dictionary
Neural Computation
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Near-optimal Bayesian localization via incoherence and sparsity
IPSN '09 Proceedings of the 2009 International Conference on Information Processing in Sensor Networks
Point process models for spotting keywords in continuous speech
IEEE Transactions on Audio, Speech, and Language Processing
Performance analysis of support recovery with joint sparsity constraints
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Direction-of-arrival estimation using a mixed l2,0norm approximation
IEEE Transactions on Signal Processing
Performance analysis for sparse support recovery
IEEE Transactions on Information Theory
Functional brain imaging with M/EEG using structured sparsity in time-frequency dictionaries
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Sound source localization using compressive sensing-based feature extraction and spatial sparsity
Digital Signal Processing
Bayesian compressive sensing as applied to directions-of-arrival estimation in planar arrays
Journal of Electrical and Computer Engineering - Special issue on Advances in Radar Technologies
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We propose a technique of multisensor signal reconstruction based on the assumption, that source signals are spatially sparse, as well as have sparse representation in a chosen dictionary in time domain. This leads to a large scale convex optimization problem, which involves combined l1-l2 norm minimization. The optimization is carried by the truncated Newton method, using preconditioned conjugate gradients in inner iterations. The byproduct of reconstruction is the estimation of source locations.