lp-norm regularization optimization of impulsive disturbance removal

被引：0
|
作者：
Li L. [1 ,2 ]
Yan L. [1 ]
Zhou L. [3 ]
Li D. [4 ]
Liu H. [3 ]
机构：
[1] School of Geodesy and Geomatics, Wuhan University, Wuhan
[2] Chongqing Natural Resources Safety Dispatch Center, Chongqing
[3] School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing
[4] Center of Communication and Tracking Telemetering Command, Chongqing University, Chongqing
来源：
Xi'an Dianzi Keji Daxue Xuebao/Journal of Xidian University | 2020年 / 47卷 / 01期
关键词：
Impulsive disturbance; Interior-point method; Iteratively reweighted least squares; L[!sub]p[!/sub]-norm; Nonconvex;
D O I：
10.19665/j.issn1001-2400.2020.01.005
中图分类号：
学科分类号：
摘要：
This work addresses the signal recovery problem in the presence of impulsive disturbance utilizing lp-norm optimization. In doing so, the resultant optimization is difficult to solve, especially when 0<p< 1, because it is nonconvex. In this work, the alternating direction method for multipliers steps is developed to efficiently obtain the solution from this optimization. In each step of the alternating direction method for multipliers, the corresponding solutions are respectively obtained by utilizing the iteratively reweighted least squares and interior-point approach. Numerical studies including an application of image enhancement demonstrate the superior performance of the proposed weighted estimation algorithms compared to the lp-ADM approach. © 2020, The Editorial Board of Journal of Xidian University. All right reserved.
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页码：30 / 36
页数：6
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