Sparse and low‐rank matrix decomposition based micro‐motion target indication in through‐the‐wall radar

Micro‐motion indication of human target is widely used in civil and military applications. In through‐the‐wall (TTW) scenarios, human echo is usually heavily blurred by clutter. This Letter proposes a sparse and low‐rank matrix decomposition based micro‐motion indication method to indicate human targets using UWB TTW radar. The slow‐time range matrix is decomposed into a low‐rank matrix corresponding to background echo, and a sparse matrix corresponding to micro‐motion echo. Both simulation and experimental results show the superiority of the proposed method.