Remote Sensing (Dec 2023)

Real Aperture Radar Angular Super-Resolution Imaging Using Modified Smoothed <i>L</i><sub>0</sub> Norm with a Regularization Strategy

  • Shuifeng Yang,
  • Yong Zhao,
  • Xingyu Tuo,
  • Deqing Mao,
  • Yin Zhang,
  • Jianyu Yang

DOI
https://doi.org/10.3390/rs16010012
Journal volume & issue
Vol. 16, no. 1
p. 12

Abstract

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Restricted by the ill-posed antenna measurement matrix, the conventional smoothed L0 norm algorithm (SL0) fails to enable direct real aperture radar angular super-resolution imaging. This paper proposes a modified smoothed L0 norm (MSL0) algorithm to address this issue. First, as the pseudo-inverse of the ill-posed antenna measurement matrix is required to set the initial values and calculate the gradient projection, a regularization strategy is employed to relax the ill-posedness. Based on the regularization strategy, the proposed MSL0 algorithm can avoid noise amplification when faced with the ill-posed antenna measurement matrix of real aperture radar. Additionally, to prevent local minima problems, we introduce a hard thresholding operator, based on which the proposed MSL0 algorithm can accurately reconstruct sparse targets. Simulations and experimental results verify the performance of the proposed MSL0 algorithm.

Keywords