Journal of Xidian University ›› 2020, Vol. 47 ›› Issue (1): 30-36.doi: 10.19665/j.issn1001-2400.2020.01.005

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lp-norm regularization optimization of impulsive disturbance removal

LI Li1,2,YAN Li1,ZHOU Lei3(),LI Dong4,LIU Hongqing3   

  1. 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430072, China
    2. Chongqing Natural Resources Safety Dispatch Center, Chongqing 401147, China
    3. School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
    4. Center of Communication and Tracking Telemetering Command, Chongqing University, Chongqing 400044, China
  • Received:2019-07-29 Online:2020-02-20 Published:2020-03-19
  • Contact: Lei ZHOU E-mail:zhouleicqupt2016@outlook.com

Abstract:

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.

Key words: impulsive disturbance, lp-norm, nonconvex, iteratively reweighted least squares, interior-point method

CLC Number: 

  • TN911.72