摘要
欠定盲源分离混合矩阵的估计可以转化为三阶张量的标准分解问题。为解决现有标准分解算法运算复杂度高、所需时间长的缺点,引入塔克分解先把张量压缩为较低维的核张量,塔克分解因子可通过原张量mode-3矩阵的左奇异向量求得。然后运用交替最小二乘对该核张量进行标准分解,即可得到混合矩阵的估计。仿真结果表明,所提方法不仅可以达到与现有算法同样好的估计精度,而且具有更低的运算复杂度,运算时间较现有算法降低46.44%~76.28%。
The underdetermined mixture matrix in blind source separation can be obtained by canonical decomposition of the three-order tensor.In order to overcome the flaw of high computational complexity and long running time of existing canonical decomposition algorithm,the tensor is compressed as lower order core one using tucker decomposition.The factor of tucker decomposition can be obtained by left singular value of the original tensor＇s mode-3 matrix.The mixture matrix can be estimated by the alternating least square based canonical decomposition of the core tensor.Simulation results show that the proposed algorithm has much lower computational complexity with no performance loss and its operation time reduces 46.44%~76.28% compared with the existing algorithm.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2011年第8期1703-1706,共4页
Systems Engineering and Electronics
基金
国家自然科学基金(61074102)
河南理工大学青年基金重点项目(Q2011-50)资助课题
关键词
盲信源分离
欠定混合
张量
标准分解
塔克分解
blind source separation
underdetermined mixture
tensor
canonical decomposition
tucker decomposition
