A new result of the scaling law of weighted L1 minimization

Jun Zhang; Urbashi Mitra; Kuan-Wen Huang; Nicolo Michelusi

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arXiv · 1509.07947

A new result of the scaling law of weighted L1 minimization

Jun Zhang·Urbashi Mitra·Kuan-Wen Huang·Nicolo Michelusi

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Abstract

This paper study recovery conditions of weighted L1 minimization for signal reconstruction from compressed sensing measurements. A sufficient condition for exact recovery by using the general weighted L1 minimization is derived, which builds a direct relationship between the weights and the recoverability. Simulation results indicates that this sufficient condition provides a precise prediction of the scaling law for the weighted L1 minimization.

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Jun Zhang, Urbashi Mitra, Kuan-Wen Huang, Nicolo Michelusi. 2015-09-26. A new result of the scaling law of weighted L1 minimization. https://arxiv.org/abs/1509.07947

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