1. Sparse Aperture ISAR Imaging Method Based on Joint Constraints of Sparsity and Low Rank
- Author
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Weigang Zhu, Liu Yang, Xin Jia, and Chuangzhan Zeng
- Subjects
Computer science ,Image quality ,Aperture ,0211 other engineering and technologies ,Reconstruction algorithm ,02 engineering and technology ,Iterative reconstruction ,Convexity ,Adaptive filter ,Maxima and minima ,Inverse synthetic aperture radar ,Matrix (mathematics) ,Joint constraints ,Radar imaging ,Convex optimization ,General Earth and Planetary Sciences ,Penalty method ,Electrical and Electronic Engineering ,Algorithm ,021101 geological & geomatics engineering ,Sparse matrix - Abstract
A new inverse synthetic aperture radar (ISAR) imaging framework is proposed to obtain high cross-range resolution under sparse aperture conditions, which is a challenge when the signal-to-noise ratio is low. Motivated by the sparsity and low rank of target’s 2-D distribution, the imaging problem is converted to the simultaneously sparse and low-rank signal matrix reconstruction problem under multiple measurement vector (MMV) model, and a novel reconstruction method based on joint constraints of sparsity and low rank is proposed. Due to the over-relax problem, the traditional convex optimization method cannot achieve a better performance using joint structures than exploiting just one of the constraints. As such, a nonconvex penalty function is introduced. To avoid the local minima, the convexity of the cost function should be ensured when constructing the nonconvex penalty function. The adaptive filtering framework, which is a powerful way to recovery the sparse low-rank matrix accurately from its noisy observation, is adopted as a reconstruction algorithm. Furthermore, the optimal step size formula and the idea of smoothed zero norm are used to enhance the convergence and the ability to suppress noise. The newly proposed method is verified by the simulation experiment, which has a better performance in image quality, robustness to noise, and imaging speed.
- Published
- 2021
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