lp-norm minimization for outlier-resistant elliptic positioning in-stable α -impulsive interference

作者：Xiong, Wenxin^*; He, Jiajun; So, Hing Cheung; Liang, Junli; Leung, Chi-Sing

来源：JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361(1): 21-31.

DOI：10.1016/j.jfranklin.2023.11.031

• Elliptic positioning
• Impulsive noise
• l -norm
• Iteratively reweighted least squares
• Majorization-minimization

This short communication considers the problem of robust elliptic positioning (EP) in alpha- stable impulsive interference based on the lp-norm minimization criterion. We start with converting the associated nonconvex optimization task into the well-established lp-minimization framework of iteratively reweighted least squares (IRLS). While the effect of p is taken into account by a weight update step in each IRLS iteration, we employ an assortment of surrogate functions, in order to effectively handle the location update subproblem using the majorization- minimization technique. The superiority of our proposal over a number of existing EP methods in terms of localization accuracy in alpha-stable impulsive noise is demonstrated via numerical simulations.

• 单位
  西北工业大学