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电子学报  2012 

基于近似l0范数的稳健稀疏重构算法

DOI: 10.3969/j.issn.0372-2112.2012.06.020, PP. 1185-1189

Keywords: 压缩感知,稀疏重构,基追踪,平滑l0范数

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Abstract:

针对测量值受噪声污染的稀疏重构问题,本文提出了稳健近似l0范数最小化算法.该算法首先利用反正切函数近似l0范数,然后建立基于近似l0范数的含噪稀疏重构模型,最后通过拟牛顿法求解该模型,并分析了算法的收敛性.数值仿真表明,本文提出的算法重构稀疏向量时需要较少的测量值,且具有较高的计算精度.

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