One-bit compressed sensing via l(p)(0
One-bit compressed sensing via l(p)(0
复制标题
通过 l(p)(0 的一位压缩感知
DOI：
10.1088/1361-6420/ab779b
复制
发表时间：
2020
期刊：
影响因子：
2.1
通讯作者：
Huang Jianwen
中科院分区：
文献类型：
--
作者：
Hou Jingyao;Wang Jianjun;Zhang Feng;Huang Jianwen
一比特压缩感知的目标是从极度量化的线性测量中恢复未知的稀疏信号，这些测量只是捕获它们的符号。本文提出了一种非凸的压缩感知问题的最小化模型，并定义了包含真正s-稀疏信号的有效s-稀疏信号集.利用覆盖数的性质，我们证明了该方法可以有效地恢复具有误差阶数的S-稀疏信号的方向
One-bit compressed sensing aims to recover unknown sparse signals from extremely quantized linear measurements which just capture their signs. In this paper, we propose a nonconvex ℓ p (0< p< 1) minimization model for one-bit compressed sensing problem and define the set of ℓ p effectively s-sparse signals which contains genuinely s-sparse signals. Utilizing properties of covering number, we show that our method can recover the direction of ℓ p effectively s-sparse signals with error order