范数正则化方法及其在雷达方位超分辨中的应用

Zou Jian-wu, Zhu Ming-bo, Li Xiang-ping, Dong Wei
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引用次数: 8

摘要

方位超分辨是雷达领域多年来一直在探索的技术问题。针对求解过程中遇到的病态问题,采用L2范数正则化方法求解。针对缺乏L2范数方法和目标信号的稀疏性,建立了L1范数正则化模型。为了提高计算效率,将L1范数正则化模型转化为半确定规划模型,采用预测校正原对偶路径跟踪法求解。对不同信噪比(SNR)下的图像进行了计算机仿真,初步结果表明,两种方法都能区分点目标,在相同条件下,L1范数正则化方法的性能更好,具有较强的噪声适应能力,当信噪比为0dB时,分辨率提高1.7倍。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Norm regularization method and its application in radar azimuth super-resolution
The azimuth super resolution is a technique problem which has been explored for years in the field of radar. The L2 norm regularization method was used for the solution, because of the ill-condition encountered in the solution process. L1 norm regularization model was also established for the lack of L2 norm method and the sparse nature of the target signal. In order to improve the computational efficiency, L1 norm regularization model was transformed into semi-definite programming model which was solved by predictor-corrector primal-dual path-following method. The computer simulation for different signal-to-noise ratio(SNR) was made, the preliminary findings shows that both methods can distinguish the point targets, the performance of L1 norm regularization method is better under the same conditions, it has a strong noise adoptive ability, and the resolution is increased by 1.7 times, when SNR is 0dB.
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