CAJ | 학술논문

针对盲源分离问题，利用白化预处理后信号的二阶和高阶累积量矩阵具有正交联合对角化的结构性质，以及多个实对称矩阵具有相同特征向量即可同时正交对角化的实对称矩阵的特征分解的理论，提出一种基于部分累积量矩阵特征分解的直接正交联合对角化算法。该算法仅需要部分累积量矩阵信息，从而大大降低计算过程中的存储量和计算量。通过数值模拟，该算法和经典的JADE算法性能接近，可以有效地进行盲分离。
침대맹원분리문제，이용백화예처리후신호적이계화고계루적량구진구유정교연합대각화적결구성질，이급다개실대칭구진구유상동특정향량즉가동시정교대각화적실대칭구진적특정분해적이론，제출일충기우부분루적량구진특정분해적직접정교연합대각화산법。해산법부수요부분루적량구진신식，종이대대강저계산과정중적존저량화계산량。통과수치모의，해산법화경전적JADE산법성능접근，가이유효지진행맹분리。
In blind source separation, the second-order and higher-order cumulant matrices of pre-whitened signals have the structure orthogonal joint diagonalization. In eigendecomposition theory, the real symmetry matrices with the same eigenvectors can simultaneous diagonalization. In this paper, a direct orthogonal joint diagonalization algorithm based on eigendecomposition of the cumulant matrices is proposed for blind source separation. In practical computation, we only need part of the cumulant matrices, so the storage and calculation will be greatly reduced. The numerical simulation results show that the performance of our algorithm close to the one of JADE, it is effective for blind source separation.