基于矩阵填充的合成宽带高频雷达非网格目标分辨技术研究

摘要

高频雷达由于工作在拥挤的高频频段(3~30 MHz),连续频带资源十分有限,有限的带宽限制了对目标的分辨能力.该文引入一种合成宽带的发射信号,同时针对该信号,提出一种基于矩阵填充(Matrix Completion,MC)的1维和2维目标参数估计方法,分别称之为矩阵填充1维估计(MCE-1D)和矩阵填充2维估计(MCE-2D)方法,该方法将不完备采样集合变换成低秩矩阵,通过构造双重汉克尔(two-fold Hankel)矩阵将其转化为半定规划(Semi-Definite Programming,SDP)问题求解.新方法应用于高频雷达中,可以在非连续谱的背景下获得场景中目标位置的准确估计,很好地解决了非网格目标在传统网格类方法中的基失配问题,新方法对于非网格目标具有更高的分辨能力及抗噪性能.仿真处理结果验证了该方法的有效性.%High Frequency Radar (HFR) works in the crowded high-frequency band (3~30 MHz) with limited continuous bandwidth. It affects the ability to distinguish the near targets. Therefore, this paper introduces a kind of synthesis bandwidth signal with a proposed method for estimating the target parameters in 1-D and 2-D based on Matrix Completion (MC). They are respectively named Matrix Completion Estimation for One Dimension (MCE-1D) and Matrix Completion Estimation for Two Dimensions (MCE-2D). The incomplete sampling set can be considered as low rank matrix, by constructing the two-fold Hankel matrix, this problem is transformed into a Semi-Definite Programming (SDP) problem. Using this new method to the high frequency radar, then the accurate estimation of the target position in the scene can be obtained in the background of the discontinuous spectrum, which solves the problem of base mismatch for off-the-grid targets in the traditional grid estimate method. It also has higher resolution and anti-noise performance. The simulation results demonstrate the effectiveness of this method.