Off-the-grid Targets Resolution of Synthetic Bandwidth High Frequency Radar Based on Matrix Completion

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.