1-minimization'/> A Projection-Based Algorithm for Constrained L<inf>1</inf>- Minimization Optimization with Application to Sparse Signal Reconstruction
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A Projection-Based Algorithm for Constrained L1- Minimization Optimization with Application to Sparse Signal Reconstruction

机译：基于投影的受限L 1 - 最小化优化应用于稀疏信号重建的算法

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摘要

In this paper, a projection-base algorithm is proposed for solving the constrained L1-minimization problem. Furthermore, the algorithm is utilized to sparse signal reconstruction. The L1-minimization is first converted into some equations which are described by the projections onto a hyper box set and the nonnegative quadrant. Then a iterative algorithm is proposed for solving the L1-minimization problem. Next, the algorithm is applied to sparse signal reconstruction described as an L1-minimization problem subject to L∞-norm noise constraint, or equivalently bound constraint. Finally, several experiments are presented to show the performance of the proposed algorithm.
机译：本文提出了一种求解约束L的投影基算法 1 - 澄清问题。此外，该算法用于稀疏信号重建。 L. 1 - 首先将百分之化转换成一些方程，该等式由投影上描述到超框集和非负象限上。然后提出了一种迭代算法来解决L 1 - 澄清问题。接下来，将该算法应用于称为L的稀疏信号重建 1 - 百分比问题受到l∞-norm噪声约束，或等效约束。最后，提出了几个实验以显示所提出的算法的性能。

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