中圖分類號(hào)： TN911.7 文獻(xiàn)標(biāo)識(shí)碼： A DOI：10.16157/j.issn.0258-7998.200323 中文引用格式： 陶亮,，劉海鵬,，王蒙. 基于壓縮感知理論NSL0算法的改進(jìn)[J].電子技術(shù)應(yīng)用，2021,，47(5)：77-81. 英文引用格式： Tao Liang,，Liu Haipeng，Wang Meng. Improvement of NSL0 algorithm based on compressed sensing theory[J]. Application of Electronic Technique,，2021,，47(5)：77-81.
Improvement of NSL0 algorithm based on compressed sensing theory
Tao Liang,，Liu Haipeng，Wang Meng
School of information Engineering and Automation,，Kunming University of Science and Technology,，Kunming 650500，China
Abstract： Compressed sensing theory provides a new way of signal acquisition.The signal is sparse transformed, and a few observed values are used to reconstruct the signal with high precision.Among them, the signal reconstruction method is the core of compressed sensing. Among all kinds of signal reconstruction algorithms, the most direct and effective signal reconstruction method is to solve under L0 Norm.In order to solve the problem of poor reconstruction quality of NSL0(Newton Smooth L0 Norm) algorithm, this paper proposed a faster and more accurate signal reconstruction algorithm named ACNSL0(Arc Cosin Newton Smooth L0) Norm, based on NSL0 algorithm, adopting the arccosine function with greater steepness, and combining the modified Newton method and Newton damping method.Experiments on one-dimensional signal and two-dimensional image reconstruction show that the reconstruction rate and signal-to-noise ratio are greatly improved compared with similar algorithms under the same conditions.
Key words : compressed sensing,；reconstruction algorithm,；arccosine；modified Newton method,；Newton damping method
