Sparse Echo Reconstruction of Micro-Motion Targets Under the Joint Constraints of Low-Rank and Periodic Consistency

In practical scenarios, affected by electronic countermeasures or multitasking requirements, radar echoes from the same micro-motion target inevitably exhibit sparsity. To solve this problem, this paper proposes a sparse echo reconstruction method for micro-motion targets based on joint constraints of low-rank property and periodic consistency, aiming to enhance reconstruction performance. First, the wideband sparse echo signal model under random missing sampling (RMS) for micro-motion targets is established; then, inspired by the concept of matrix completion (MC), the 'periodic consistency' constraint is introduced into the objective function, constructing an optimization model for echo signal reconstruction based on the low-rank property. Meanwhile, the alternating direction method of multipliers (ADMM) reconstructs echoes through alternate iterations and gradual optimization. Finally, simulation experiments validate the effectiveness of the proposed algorithm.