CAJ | 학술논문

矩阵填充可以有效恢复阵列信号降采样数据，从而得到等效的全采样回波信号。然而，现有基于矩阵填充的阵列波达方向估计方法要求回波数据在不同快拍下随机选择采样序列，以满足采样数据的随机性。当部分阵元在整个观测时间内关闭或损坏时，上述方法将失效。因此，笔者提出了一种改进的降采样数据恢复方法，利用阵元间的相关特性，将单快拍下的信号矢量变换到一个等效的低秩矩阵，继而通过求解该矩阵的最小核范数，实现对缺失数据的有效估计。仿真结果表明，该方法可以有效恢复降采样数据，抑制噪声，提高波达方向的估计性能。
구진전충가이유효회복진렬신호강채양수거，종이득도등효적전채양회파신호。연이，현유기우구진전충적진렬파체방향고계방법요구회파수거재불동쾌박하수궤선택채양서렬，이만족채양수거적수궤성。당부분진원재정개관측시간내관폐혹손배시，상술방법장실효。인차，필자제출료일충개진적강채양수거회복방법，이용진원간적상관특성，장단쾌박하적신호시량변환도일개등효적저질구진，계이통과구해해구진적최소핵범수，실현대결실수거적유효고계。방진결과표명，해방법가이유효회복강채양수거，억제조성，제고파체방향적고계성능。
Matrix Completion (MC) theory can recover the under-sampled data in the array signal processing,further estimating the direction of arrival(DOA)as the fully sampled data does.However,it is required that the data should be under-sampled randomly in different snapshots which satisfy the randomness of MC theory.When some sensors are unsampled or broken in the whole observing time,the previous method would fail.To address this problem,a new processing method is proposed in this paper. The inner relationship among sensors is used,and then we reshape the signal vector in a single snapshort into an equivalent low-rank matrix,which can be recovered effectively by minimizing the nuclear norm. Simulation results validate the effectiveness of the proposed method.Meanwhile,the method can lower the noie power,and improve the performance of the DOA.