正交约束的NMF盲源分离算法

NMF Blind Source Separation Algorithm with Orthogonal Constraint

摘要: 为了提高盲源分离的效果和减小盲源分离算法的复杂度，该文将正交约束条件引入盲源分离，提出基于正交约束的NMF盲源分离算法(NMF-DSO)，该算法把正交约束添加到NMF优化目标函数中，使目标函数得到优化，并采用乘性更新规则得到更新公式，得到每次更新所需的乘法次数少于相关约束条件下的NMF盲源分离算法(NMF-DSC)。理论分析和仿真结果均表明NMF-DSO算法的性能优于NMF-DSC算法。

Abstract: In order to enhance the performance of the Blind Source Separation Algorithm and reduce the complexity of Blind Source Separation Algorithm, NMF Blind Source Separation Algorithm with orthogonal constraint (NMF-DSO) is presented in this paper. This optimized algorithm adds or-thogonal constraint to NMF objective function to optimize objective function and uses the multip-licative updated rule to get the updated formula which gets the number of multiplications each time less than NMF blind source separation algorithm with constraints (NMF-DSC). Theoretical analysis and simulations all show that the performance of the proposed method is superior to that of the NMF Blind Source Separation Algorithm with orthogonal constraint (NMF-DSC) algorithm.