New Restricted Isometry Property Analysis for $\ell_1-\ell_2$ Minimization Methods

2021 ◽  
Vol 14 (2) ◽  
pp. 530-557
Author(s):  
Huanmin Ge ◽  
Wengu Chen ◽  
Michael K. Ng
2020 ◽  
Vol 64 (1) ◽  
Author(s):  
Feng Zhang ◽  
Wendong Wang ◽  
Jingyao Hou ◽  
Jianjun Wang ◽  
Jianwen Huang

Author(s):  
Xiaobo ZHANG ◽  
Wenbo XU ◽  
Yan TIAN ◽  
Jiaru LIN ◽  
Wenjun XU

2020 ◽  
Vol 13 (1) ◽  
pp. 48
Author(s):  
Hanjie Song ◽  
Chao Li ◽  
Jinhai Zhang ◽  
Xing Wu ◽  
Yang Liu ◽  
...  

The Lunar Penetrating Radar (LPR) onboard the Yutu-2 rover from China’s Chang’E-4 (CE-4) mission is used to probe the subsurface structure and the near-surface stratigraphic structure of the lunar regolith on the farside of the Moon. Structural analysis of regolith could provide abundant information on the formation and evolution of the Moon, in which the rock location and property analysis are the key procedures during the interpretation of LPR data. The subsurface velocity of electromagnetic waves is a vital parameter for stratigraphic division, rock location estimates, and calculating the rock properties in the interpretation of LPR data. In this paper, we propose a procedure that combines the regolith rock extraction technique based on local correlation between the two sets of LPR high-frequency channel data and the common offset semblance analysis to determine the velocity from LPR diffraction hyperbola. We consider the heterogeneity of the regolith and derive the relative permittivity distribution based on the rock extraction and semblance analysis. The numerical simulation results show that the procedure is able to obtain the high-precision position and properties of the rock. Furthermore, we apply this procedure to CE-4 LPR data and obtain preferable estimations of the rock locations and the properties of the lunar subsurface regolith.


2013 ◽  
Vol 25 (14) ◽  
pp. 7955-7958 ◽  
Author(s):  
Wanwan Ding ◽  
Juan Chen ◽  
Jianye Liu ◽  
Zengkai Pang ◽  
Ruifang Guan

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