CAJ | 학술논문

针对多子阵互耦影响下的非圆信号波达方向（Direction-Of-Arrival，DOA）估计问题，给出了一种针对最大非圆率信号的互耦自校正算法。该算法利用均匀线阵互耦矩阵的带状、对称 Toeplitz 性和多子阵互耦矩阵的块状对角特性，能够与传统的互耦秩减估计器一样避免多维搜索和迭代运算。并且通过结合信号的非圆特性来扩展数据模型，使得其估计精度较传统的互耦秩减估计算法有明显提升，可分辨信源数也有所增加。对该算法的理论性能进行研究，分析了其对未知参数的可辨识性必要条件，并基于最大非圆率信号模型给出了相应的克拉美罗界（Cramér-Rao Bound， CRB）。仿真结果表明，该算法较传统的互耦秩减估计算法在低信噪比、小快拍数下有更强的鲁棒性。
침대다자진호우영향하적비원신호파체방향（Direction-Of-Arrival，DOA）고계문제，급출료일충침대최대비원솔신호적호우자교정산법。해산법이용균균선진호우구진적대상、대칭 Toeplitz 성화다자진호우구진적괴상대각특성，능구여전통적호우질감고계기일양피면다유수색화질대운산。병차통과결합신호적비원특성래확전수거모형，사득기고계정도교전통적호우질감고계산법유명현제승，가분변신원수야유소증가。대해산법적이론성능진행연구，분석료기대미지삼수적가변식성필요조건，병기우최대비원솔신호모형급출료상응적극랍미라계（Cramér-Rao Bound， CRB）。방진결과표명，해산법교전통적호우질감고계산법재저신조비、소쾌박수하유경강적로봉성。
The direction-of-arrival (DOA)estimation method for noncircular sources with maximum noncircularity rate in multiple subarrays is proposed when there exists mutual coupling between sensors of each subarray.Based on the banded and sym-metric Toeplitz character of the coupling matrix of uniform linear arrays (ULAs)and the block diagonal character of the coupling matrix of multiple subarrays,the proposed method can avoid multidimensional search and iterative computation like the conventional rank reduction estimator (RARE).We extend the data model by using the noncircular feature of the sources,and thus the proposed method outperforms the conventional RARE in terms of estimation accuracy and the number of sources that can be distinguished. The performance study provides a necessary condition for unique estimation,and the expression of noncircular Gaussian Cramér-Rao bound (CRB)matrix for DOAs is presented.The simulation results illustrate that the proposed algorithm is more robust than the conventional RARE with respect to lower signal-to-noise ratio and fewer number of samplings.