Optimal incorporation of sparsity information by weighted $\ell_1$ optimization

Details Optimal incorporation of sparsity information by weighted $\ell_1$ optimization Optimal incorporation of sparsity information by weighted $\ell_1$ optimization

2010-01-12

arxiv.org/abs/1001.1873v2

Computer Science

Information Theory

5 pages, 2 figures, to appear in Proceedings of ISIT2010

Scientific paper

Compressed sensing of sparse sources can be improved by incorporating prior
knowledge of the source. In this paper we demonstrate a method for optimal
selection of weights in weighted $L_1$ norm minimization for a noiseless
reconstruction model, and show the improvements in compression that can be
achieved.

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